CN111062121A - Numerical simulation method of powder melting based on height function-lattice Boltzmann method - Google Patents
Numerical simulation method of powder melting based on height function-lattice Boltzmann method Download PDFInfo
- Publication number
- CN111062121A CN111062121A CN201911204140.XA CN201911204140A CN111062121A CN 111062121 A CN111062121 A CN 111062121A CN 201911204140 A CN201911204140 A CN 201911204140A CN 111062121 A CN111062121 A CN 111062121A
- Authority
- CN
- China
- Prior art keywords
- temperature
- equation
- powder
- velocity
- migration
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
- 239000000843 powder Substances 0.000 title claims abstract description 100
- 238000000034 method Methods 0.000 title claims abstract description 57
- 238000002844 melting Methods 0.000 title claims abstract description 44
- 230000008018 melting Effects 0.000 title claims abstract description 44
- 238000004088 simulation Methods 0.000 title claims abstract description 25
- 238000013508 migration Methods 0.000 claims abstract description 28
- 238000004364 calculation method Methods 0.000 claims abstract description 27
- 230000005012 migration Effects 0.000 claims abstract description 22
- 238000010309 melting process Methods 0.000 claims abstract description 15
- 230000008569 process Effects 0.000 claims abstract description 14
- 238000005315 distribution function Methods 0.000 claims description 35
- 239000002245 particle Substances 0.000 claims description 11
- 239000012071 phase Substances 0.000 claims description 9
- 239000007787 solid Substances 0.000 claims description 6
- 239000007790 solid phase Substances 0.000 claims description 6
- 239000000758 substrate Substances 0.000 claims description 6
- 239000007983 Tris buffer Substances 0.000 claims description 3
- 230000008859 change Effects 0.000 claims description 3
- 238000006243 chemical reaction Methods 0.000 claims description 3
- 230000008020 evaporation Effects 0.000 claims description 3
- 238000001704 evaporation Methods 0.000 claims description 3
- 230000009471 action Effects 0.000 description 4
- 230000007547 defect Effects 0.000 description 3
- 238000009826 distribution Methods 0.000 description 3
- 238000005516 engineering process Methods 0.000 description 3
- 230000005484 gravity Effects 0.000 description 3
- 238000010586 diagram Methods 0.000 description 2
- 230000000694 effects Effects 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 239000013078 crystal Substances 0.000 description 1
- 230000003247 decreasing effect Effects 0.000 description 1
- 230000004927 fusion Effects 0.000 description 1
- 230000003993 interaction Effects 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 239000011159 matrix material Substances 0.000 description 1
- 239000000155 melt Substances 0.000 description 1
- 239000002184 metal Substances 0.000 description 1
- 238000005457 optimization Methods 0.000 description 1
- 238000007711 solidification Methods 0.000 description 1
- 230000008023 solidification Effects 0.000 description 1
- 230000007480 spreading Effects 0.000 description 1
- 238000003892 spreading Methods 0.000 description 1
- 238000012876 topography Methods 0.000 description 1
Images
Landscapes
- Management, Administration, Business Operations System, And Electronic Commerce (AREA)
Abstract
本发明一种基于高度函数‑格子玻尔兹曼法的粉末熔化数值模拟方法，包括，步骤1，建立随机分布的粉末床模型；步骤2，对粉末床模型建立粉末熔化的格子玻尔兹曼方程；粉末熔化的格子玻尔兹曼方程包括速度碰撞方程、速度迁移方程、温度碰撞方程、温度迁移方程、宏观量计算方程和外力计算方程；步骤3，根据粉末床模型及其边界条件的确定，通过粉末熔化的格子玻尔兹曼方程对每个网格进行温度场和流场的模拟计算，得到粉末熔化过程温度及流场的演化结果；步骤4，根据粉末熔化过程温度及流场的演化结果和不同时刻的温度及速度，模拟激光在粉末床上移动过程中粉末床温度及速度的随时间的变化，即得到模拟粉末熔化后的演化过程以及最终凝固的表面形貌。
The present invention is a method for numerical simulation of powder melting based on the height function-lattice Boltzmann method, comprising: step 1, establishing a randomly distributed powder bed model; Equation; the lattice Boltzmann equation of powder melting includes velocity collision equation, velocity migration equation, temperature collision equation, temperature migration equation, macroscopic quantity calculation equation and external force calculation equation; Step 3, according to the determination of the powder bed model and its boundary conditions , the temperature field and flow field are simulated and calculated for each grid through the lattice Boltzmann equation of powder melting, and the evolution results of the temperature and flow field in the powder melting process are obtained; step 4, according to the temperature and flow field evolution results in the powder melting process The evolution results and the temperature and speed at different times simulate the changes of the temperature and speed of the powder bed with time during the movement of the laser in the powder bed, that is, the evolution process of the simulated powder after melting and the final solidified surface morphology are obtained.
Description
Technical Field
The invention relates to numerical simulation of selective laser melting powder melting behavior, in particular to a powder melting numerical simulation method based on a height function-lattice boltzmann method.
Background
The selective laser melting technology is an integrated manufacturing technology which gives consideration to the requirements of accurate forming and high performance formability, and the technology adopts laser to completely melt powder, so that the density of parts is greatly improved. Because the powder spreading mode is adopted, extremely complex parts can be formed, and the method has remarkable advantages for forming high-performance metal parts with extremely complex structures, such as complex inner runners, dot matrix structure sandwich cores and the like in the field of aerospace. However, selective laser melting is a complex process of multi-physical field interaction, so that the evolution process of a molten pool is extremely violent and complex, and the molten pool is easy to generate defects of spheroidization, unfused fusion and the like in the forming process. Meanwhile, the selective laser melting pool is small in size, and the solidification rate is high, so that the direct real-time observation difficulty of the selective laser melting pool is high. The use of numerical simulation methods has therefore increasingly become an important means of clearing the behavior of selective laser melting processes. In recent years, some researchers have studied selective laser melting powder melting process by means of numerical simulation, but most of the researchers have simplified the numerical simulation greatly, neglect the Marangoni convection of a molten pool, or limit the Marangoni convection to a two-dimensional scale, or only consider uniform powder particles, or have extremely low calculation efficiency, and cannot meet the requirements of the prior art on precision and efficiency.
Disclosure of Invention
Aiming at the problems in the prior art, the invention provides a powder melting numerical simulation method based on a height function-lattice boltzmann method, which is simple, reasonable in design, comprehensive in consideration factor, efficient and accurate, accurately calculates the required interface curvature through the height function method, and realizes efficient parallel calculation through the lattice boltzmann.
The invention is realized by the following technical scheme:
a powder melting numerical simulation method based on a height function-lattice Boltzmann method includes the steps of,
step 1, establishing a randomly distributed powder bed model;
step 2, establishing a lattice boltzmann equation for powder melting for the powder bed model; the lattice boltzmann equation for powder melting comprises a speed collision equation, a speed migration equation, a temperature collision equation, a temperature migration equation, a macroscopic quantity calculation equation and an external force calculation equation;
step 3, according to the determination of the powder bed model and the boundary conditions thereof, performing simulation calculation of a temperature field and a flow field on each grid through a lattice Boltzmann equation of powder melting to obtain an evolution result of the temperature and the flow field in the powder melting process;
and 4, simulating the change of the temperature and the speed of the powder bed along with time in the process of moving the laser on the powder bed according to the evolution results of the temperature and the flow field in the powder melting process and the temperature and the speed at different moments, and obtaining the evolution process after the simulated powder is melted and the finally solidified surface morphology.
Preferably, when step 1 is used to model a randomly distributed powder bed,
firstly, carrying out grid division on the space in a calculation domain consisting of a powder bed and a working region above the powder bed, firstly setting the whole space as a gas phase, setting a solid phase state in a region occupied by a substrate, and setting a gas-solid interface at a position adjacent to the gas phase;
and then, randomly generating a powder layer with a specified particle size above the substrate, setting the grid occupied by the powder layer as a solid phase, and setting the position, adjacent to the air, of the powder layer as a gas-solid interface to obtain the powder bed model.
Preferably, the velocity collision equation is:
wherein f isi(x, t) represents a distribution function in the direction of the grid velocity i at the x position at time t, τfDimensionless relaxation time, f, representing velocityi eq(x, t) is the equilibrium distribution function in the direction of the grid velocity i at time t and x position, FiIs a dimensionless volume force in the i direction;
the velocity migration equation is as follows:
fi(x+ei,t+Δt)＝fi(x,t)
wherein f isi(x+eiT + Δ t) is x + e after migrationiThe distribution function of the velocity of the grid in the direction i at the time t + Deltat, eiIs a unit vector of the i direction;
the temperature collision equation is as follows:
wherein h isi(x, t) represents the distribution function in the direction of the grid temperature i at the x position at time t, τhRepresents the dimensionless relaxation time of the temperature,
the equilibrium distribution function in the direction of the lattice temperature i at the x position at the time t;
the temperature migration equation is as follows:
hi(x+ei,t+Δt)＝hi(x,t)
wherein h isi(x+eiT + Δ t) is x + e after migrationiThe distribution function of the temperature of the grid in the direction of i at the time t + Deltat, eiIs a unit vector of the i direction;
the macroscopic quantity calculation equation is as follows:
wherein ρ represents density, T represents temperature, and θ represents velocity;
the external force calculation equation is as follows:
wherein, FiRepresenting the distribution function of the external force, wiIs a weight, eiIs a velocity vector, Cs is a lattice sound velocity, FvIs the actual physical volumetric force.
Further, in step 2, a height function method is introduced into the lattice boltzmann equation to calculate the interfacial force to which the free surface is subjected after the powder is melted, that is, the actual physical volume force including the surface tension, the marangoni force and the recoil pressure, as shown in the following equation:
wherein, σ κ n is a surface tension term,
is the Marangoni convection term, PvIn order to be the item of the recoil pressure,
the coefficient term for surface force to volume force conversion, κ is the interfacial curvature.
Still further, the interface curvature is calculated by a height function method:
wherein HxxIs the second partial derivative of the height function in the x direction, HyyIs the second partial derivative of the height function in the y-direction, HxIs the first partial derivative of the height function in the x direction, HyIs the first partial derivative of the height function in the y direction, HxyThe value of the partial derivative is first calculated for x and then for y for the height function.
Preferably, in step 3, the specific steps are as follows,
obtaining a distribution function after collision through a collision equation, carrying out migration evolution on the distribution function after collision to obtain the distribution function after migration, and updating the temperature and speed distribution function at the boundary through boundary conditions;
according to the obtained temperature and speed distribution function after migration, the temperature and speed of each grid at different moments can be obtained through a macroscopic quantity calculation equation, and the evolution results of the temperature and the flow field in the powder melting process are obtained.
Preferably, the speed boundary condition is obtained by using a single-phase free surface model, and the temperature boundary condition is shown in the following equation:
wherein h is the convective heat transfer coefficient, TrIs the ambient temperature, σsIs the Stefan-Boltzmann constant, the epsilon emissivity, qevapThe heat removed by evaporation.
Compared with the prior art, the invention has the following beneficial technical effects:
according to the invention, a three-dimensional powder melting numerical model is established, and a lattice boltzmann method is adopted to calculate the temperature field and the flow field, so that the simulation efficiency is greatly improved, and a foundation is laid for the process optimization of the selective laser melting process; the evolution process after the powder is melted and the finally solidified surface morphology can be obtained through simulation, the forming reason of the defects on the surface of the molten pool can be deeply analyzed, and the dendritic crystal structure can be analyzed and predicted through temperature field data.
Furthermore, the surface tension, the Marangoni force and the recoil pressure are comprehensively considered, and the forces are accurately calculated by a height function method, so that the evolution of the interface morphology is consistent with the actual process.
Drawings
FIG. 1 is a diagram of a model of the randomly distributed powder bed in an example of the present invention;
FIG. 2 is a graph of the melting behavior of powder particles under the influence of gravity and surface tension, respectively, resulting from the simulation described in the examples of the present invention;
FIG. 3 is a graph showing the temperature distribution and flow field distribution of the molten powder particles under all interfacial forces obtained from the simulation method of the present example;
FIG. 4 is a cross-sectional view of a powder particle melting channel obtained by the simulation method in the example of the present invention under different process parameters;
FIG. 5 is a diagram of the melt path of powder particles of different particle sizes after melting under the same process parameters, obtained by the simulation method described in the example of the present invention.
Detailed Description
The present invention will now be described in further detail with reference to specific examples, which are intended to be illustrative, but not limiting, of the invention.
The invention relates to a powder melting numerical simulation method based on a height function-lattice boltzmann method, which comprises the following steps,
step 1, establishing a randomly distributed powder bed model;
firstly, carrying out grid division on the space in a calculation domain consisting of a powder bed and a working region above the powder bed, firstly setting the whole space as a gas phase, setting a solid phase state in a region occupied by a substrate, and setting a gas-solid interface at a position adjacent to the gas phase;
then, a powder layer with a predetermined particle size is randomly generated above the substrate, the grid occupied by the powder layer is a solid phase, and the place where the powder layer is adjacent to the air is a gas-solid interface, and the obtained powder bed model is as shown in fig. 1.
Step 2, establishing a lattice boltzmann equation for melting the following powder for the powder bed model;
velocity collision equation:
wherein f isi(x, t) represents a distribution function in the direction of the grid velocity i at the x position at time t, τfDimensionless relaxation time, f, representing velocityi eq(x, t) is the equilibrium distribution function in the direction of the grid velocity i at time t and x position, FiIs a dimensionless volume force in the i direction.
Velocity migration equation:
fi(x+ei,t+Δt)＝fi(x,t)
wherein f isi(x+eiT + Δ t) is x + e after migrationiThe distribution function of the velocity of the grid in the direction i at the time t + Deltat, eiIs an i-direction unit vector.
Temperature collision equation:
wherein h isi(x, t) represents the distribution function in the direction of the grid temperature i at the x position at time t, τhRepresents the dimensionless relaxation time of the temperature,
the equilibrium distribution function in the direction of the lattice temperature i at the x position at time t.
Temperature migration equation:
hi(x+ei,t+Δt)＝hi(x,t)
wherein h isi(x+eiT + Δ t) is x + e after migrationiThe distribution function of the temperature of the grid in the direction of i at the time t + Deltat, eiIs an i-direction unit vector.
Macroscopic quantity calculation equation:
wherein ρ represents density, T represents temperature, and θ represents velocity;
external force calculation equation:
wherein, FiRepresenting the distribution function of the external force, wiIs a weight, eiIs the velocity vector, Cs is the lattice sound velocity, and Fv is the actual physical volume force.
Step 3, according to the determination of the powder bed model and the boundary conditions thereof, performing simulation calculation of a temperature field and a flow field on each grid through a lattice Boltzmann equation of powder melting to obtain an evolution result of the temperature and the flow field in the powder melting process;
the invention adopts a lattice boltzmann method to calculate a temperature field and a flow field, mainly comprises two steps of calculating a collision equation and a migration equation, for each position in a calculation domain, the dimensionless volume force in different directions of each lattice needs to be calculated when the collision equation is calculated, which is an important part for determining the calculation precision. These actual physical volumetric forces are shown in the following equations:
wherein, σ κ n is a surface tension term,
is the Marangoni convection term, PvIn order to be the item of the recoil pressure,
is a coefficient term for the conversion of surface force into volumetric force.
Specifically, the interface curvature on the right of the calculation equation is calculated by using a height function method, and the calculation formula is as follows:
wherein HxxIs the second partial derivative of the height function in the x direction, HyyIs the second partial derivative of the height function in the y-direction, HxIs the first partial derivative of the height function in the x direction, HyIs the first partial derivative of the height function in the y-direction, HxyThe value of the partial derivative is first calculated for x and then for y for the height function.
After the collision equation is calculated, the obtained distribution function after collision is subjected to migration evolution to obtain the distribution function after migration, and the temperature and speed distribution function at the boundary is updated through the boundary condition. Wherein the speed boundary condition is obtained by adopting a single-phase free surface model, and the temperature boundary condition is shown as the following equation:
where h is the convective heat transfer coefficient, TrIs the ambient temperature, σsIs the Stefan-Boltzmann constant, the epsilon emissivity coefficient qevapThe heat removed by evaporation.
After the distribution functions after migration are obtained, the temperature and the speed of each grid at different moments can be obtained through a macroscopic quantity calculation equation.
According to the temperature and the speed at different moments, the change of the temperature and the speed of the powder bed along with the time in the process of moving the laser on the powder bed is simulated, and then the evolution process after the powder is melted and the finally solidified surface morphology can be finally obtained.
Through the above steps, various interfacial forces are accurately captured, and the powder melting behavior is analyzed through the method, so that the powder melting behavior under the action of gravity and surface tension is obtained, fig. 2a is the powder melting process under the action of only gravity, so that the powder is basically not subjected to melting deformation and a continuous molten pool is not formed, and fig. 2b is the powder melting process under the action of only surface tension, so that the powder is subjected to an obvious melting process under the action of surface tension and a molten pool is formed. Fig. 3 is a view of the temperature and flow field distribution of the molten bath in consideration of surface tension, marangoni force and recoil pressure, and fig. 4 is a view of the topography of the molten bath at different scanning rates, and it can be seen that as the scanning rate is increased from fig. 4a-b, the length of the molten bath is increased first and then decreased. Fig. 5 shows the effect of different powder particle sizes on the melting behavior and defects of the powder, and fig. 5a shows that the melting channel is flat and continuous in the 16-32 micron powder, and as the powder particle size increases, the melting channel starts to twist and the upper surface also appears to undulate significantly, so that the melting channel is no longer continuous, as shown in fig. 5 c.
Claims (7)
1. A method for simulating a powder melting value based on a height function-lattice Boltzmann method, comprising the steps of,
step 1, establishing a randomly distributed powder bed model;
step 2, establishing a lattice boltzmann equation for powder melting for the powder bed model; the lattice boltzmann equation for powder melting comprises a speed collision equation, a speed migration equation, a temperature collision equation, a temperature migration equation, a macroscopic quantity calculation equation and an external force calculation equation;
step 3, according to the determination of the powder bed model and the boundary conditions thereof, performing simulation calculation of a temperature field and a flow field on each grid through a lattice Boltzmann equation of powder melting to obtain an evolution result of the temperature and the flow field in the powder melting process;
and 4, simulating the change of the temperature and the speed of the powder bed along with time in the process of moving the laser on the powder bed according to the evolution results of the temperature and the flow field in the powder melting process and the temperature and the speed at different moments, and obtaining the evolution process after the simulated powder is melted and the finally solidified surface morphology.
2. The method of numerical simulation of powder melting based on the height function-lattice boltzmann method according to claim 1, wherein when the step 1 creates the randomly distributed powder bed model,
firstly, carrying out grid division on the space in a calculation domain consisting of a powder bed and a working region above the powder bed, firstly setting the whole space as a gas phase, setting a solid phase state in a region occupied by a substrate, and setting a gas-solid interface at a position adjacent to the gas phase;
and then, randomly generating a powder layer with a specified particle size above the substrate, setting the grid occupied by the powder layer as a solid phase, and setting the position, adjacent to the air, of the powder layer as a gas-solid interface to obtain the powder bed model.
3. The method of numerical simulation of powder melting based on the height function-lattice boltzmann method according to claim 1, wherein the velocity collision equation is:
wherein f isi(x, t) represents a distribution function in the direction of the grid velocity i at the x position at time t, τfDimensionless relaxation time, f, representing velocityi eq(x, t) is the equilibrium distribution function in the direction of the grid velocity i at time t and x position, FiIs a dimensionless volume force in the i direction;
the velocity migration equation is as follows:
fi(x+ei,t+Δt)＝fi(x,t)
wherein f isi(x+eiT + Δ t) is x + e after migrationiThe distribution function of the velocity of the grid in the direction i at the time t + Deltat, eiIs a unit vector of the i direction;
the temperature collision equation is as follows:
wherein h isi(x, t) represents the distribution function in the direction of the grid temperature i at the x position at time t, τhRepresents the dimensionless relaxation time of the temperature,
the equilibrium distribution function in the direction of the lattice temperature i at the x position at the time t;
the temperature migration equation is as follows:
hi(x+ei,t+Δt)＝hi(x,t)
wherein h isi(x+eiT + Δ t) is x + e after migrationiThe distribution function of the temperature of the grid in the direction of i at the time t + Deltat, eiIs a unit vector of the i direction;
the macroscopic quantity calculation equation is as follows:
wherein ρ represents density, T represents temperature, and θ represents velocity;
the external force calculation equation is as follows:
wherein, FiRepresenting the distribution function of the external force, wiIs a weight, eiIs a velocity vector, Cs is a lattice sound velocity, FvIs the actual physical volumetric force.
4. The method for powder melting numerical simulation based on the height function-lattice boltzmann method according to claim 3, wherein in step 2, the height function method is introduced into the lattice boltzmann equation to calculate the interfacial force to which the free surface is subjected after melting of the powder, i.e., the actual physical volume force including the surface tension, the marangoni force and the recoil pressure, as shown in the following equation:
wherein, σ κ n is a surface tension term,
is the Marangoni convection term, PvIn order to be the item of the recoil pressure,
the coefficient term for surface force to volume force conversion, κ is the interfacial curvature.
5. The method of numerical simulation of powder melting based on the height function-lattice boltzmann method according to claim 4, wherein the curvature of the interface is calculated using a height function method:
wherein HxxIs the second partial derivative of the height function in the x direction, HyyIs the second partial derivative of the height function in the y-direction, HxIs the first partial derivative of the height function in the x direction, HyIs the first partial derivative of the height function in the y direction, HxyThe value of the partial derivative is first calculated for x and then for y for the height function.
6. The method for simulating numerical values of powder melting based on the height function-lattice boltzmann method according to claim 1, wherein the detailed steps in step 3 are as follows,
obtaining a distribution function after collision through a collision equation, carrying out migration evolution on the distribution function after collision to obtain the distribution function after migration, and updating the temperature and speed distribution function at the boundary through boundary conditions;
according to the obtained temperature and speed distribution function after migration, the temperature and speed of each grid at different moments can be obtained through a macroscopic quantity calculation equation, and the evolution results of the temperature and the flow field in the powder melting process are obtained.
7. The method of numerical simulation of powder melting based on the height function-lattice boltzmann method as set forth in claim 1, wherein the velocity boundary condition is obtained using a single-phase free surface model, and the boundary condition of temperature is as follows:
wherein h is the convective heat transfer coefficient, TrIs the ambient temperature, σsIs the Stefan-Boltzmann constant, the epsilon emissivity, qevapThe heat removed by evaporation.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201911204140.XA CN111062121A (en) | 2019-11-29 | 2019-11-29 | Numerical simulation method of powder melting based on height function-lattice Boltzmann method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201911204140.XA CN111062121A (en) | 2019-11-29 | 2019-11-29 | Numerical simulation method of powder melting based on height function-lattice Boltzmann method |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN111062121A true CN111062121A (en) | 2020-04-24 |
Family
ID=70299326
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201911204140.XA Pending CN111062121A (en) | 2019-11-29 | 2019-11-29 | Numerical simulation method of powder melting based on height function-lattice Boltzmann method |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN111062121A (en) |
Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112191849A (en) * | 2020-10-10 | 2021-01-08 | 重庆邮电大学 | Gradient porous heat dissipation device design and material increase manufacturing method based on temperature distribution |
| CN112417785A (en) * | 2020-11-25 | 2021-02-26 | 复旦大学 | Cross-scale numerical simulation method based on micro-nano groove wall slip effect |
| CN112528570A (en) * | 2020-11-09 | 2021-03-19 | 北京工业大学 | Simulation method for laser powder bed melting process based on lattice Boltzmann method for Python |
| CN112949225A (en) * | 2021-03-24 | 2021-06-11 | 苏州大学 | Numerical simulation method of metal additive manufacturing molten pool |
| CN114626315A (en) * | 2022-03-14 | 2022-06-14 | 广西师范大学 | Precise difference-based lattice boltzmann model high-precision fluid simulation method |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20100233436A1 (en) * | 2007-11-14 | 2010-09-16 | The Regents Of The University Of California | Process for directing assemblies of particulate dispersions using surface roughness |
| CN105389435A (en) * | 2015-11-12 | 2016-03-09 | 南京航空航天大学 | Mesoscopic simulating method for light-solid coupling process of laser beam and powder particles |
| CN106709176A (en) * | 2016-11-29 | 2017-05-24 | 中国航空工业集团公司沈阳飞机设计研究所 | Dynamic numerical simulation technology for laser melting deposition formed molten pool |
| CN109014202A (en) * | 2018-09-21 | 2018-12-18 | 西安空天能源动力智能制造研究院有限公司 | A kind of melt-processed process bath temperature real-time monitoring device in selective laser and method |
| CN109513924A (en) * | 2018-11-21 | 2019-03-26 | 哈尔滨工业大学 | Surface roughness control method in a kind of selective laser fusion process |
-
2019
- 2019-11-29 CN CN201911204140.XA patent/CN111062121A/en active Pending
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20100233436A1 (en) * | 2007-11-14 | 2010-09-16 | The Regents Of The University Of California | Process for directing assemblies of particulate dispersions using surface roughness |
| CN105389435A (en) * | 2015-11-12 | 2016-03-09 | 南京航空航天大学 | Mesoscopic simulating method for light-solid coupling process of laser beam and powder particles |
| CN106709176A (en) * | 2016-11-29 | 2017-05-24 | 中国航空工业集团公司沈阳飞机设计研究所 | Dynamic numerical simulation technology for laser melting deposition formed molten pool |
| CN109014202A (en) * | 2018-09-21 | 2018-12-18 | 西安空天能源动力智能制造研究院有限公司 | A kind of melt-processed process bath temperature real-time monitoring device in selective laser and method |
| CN109513924A (en) * | 2018-11-21 | 2019-03-26 | 哈尔滨工业大学 | Surface roughness control method in a kind of selective laser fusion process |
Non-Patent Citations (2)
| Title |
|---|
| MIN ZHENG等: "A novel method for the molten pool and porosity formation modelling in selective laser melting", 《INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 》 * |
| 谢印开: "激光选区熔化Ti-6Al-4V温度场与流场的数值模拟", 《中国优秀博硕士学位论文全文数据库(硕士)基础科学辑(月刊)》 * |
Cited By (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112191849A (en) * | 2020-10-10 | 2021-01-08 | 重庆邮电大学 | Gradient porous heat dissipation device design and material increase manufacturing method based on temperature distribution |
| CN112191849B (en) * | 2020-10-10 | 2023-03-28 | 重庆邮电大学 | Gradient porous heat dissipation device design and material increase manufacturing method based on temperature distribution |
| CN112528570A (en) * | 2020-11-09 | 2021-03-19 | 北京工业大学 | Simulation method for laser powder bed melting process based on lattice Boltzmann method for Python |
| CN112528570B (en) * | 2020-11-09 | 2024-06-18 | 北京工业大学 | Simulation method for carrying out laser powder bed melting process by using lattice Boltzmann method based on Python |
| CN112417785A (en) * | 2020-11-25 | 2021-02-26 | 复旦大学 | Cross-scale numerical simulation method based on micro-nano groove wall slip effect |
| CN112949225A (en) * | 2021-03-24 | 2021-06-11 | 苏州大学 | Numerical simulation method of metal additive manufacturing molten pool |
| CN114626315A (en) * | 2022-03-14 | 2022-06-14 | 广西师范大学 | Precise difference-based lattice boltzmann model high-precision fluid simulation method |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN111062121A (en) | Numerical simulation method of powder melting based on height function-lattice Boltzmann method | |
| Cao | Numerical simulation of the impact of laying powder on selective laser melting single-pass formation | |
| Rai et al. | Simulation of grain structure evolution during powder bed based additive manufacturing | |
| Xia et al. | Selective laser melting 3D printing of Ni-based superalloy: understanding thermodynamic mechanisms | |
| Aggarwal et al. | Role of impinging powder particles on melt pool hydrodynamics, thermal behaviour and microstructure in laser-assisted DED process: a particle-scale DEM–CFD–CA approach | |
| Dai et al. | Influence of thermodynamics within molten pool on migration and distribution state of reinforcement during selective laser melting of AlN/AlSi10Mg composites | |
| CN109817284B (en) | Prediction method for movement of dendritic crystal in molten steel | |
| Lee et al. | Mesoscopic simulation of heat transfer and fluid flow in laser powder bed additive manufacturing | |
| CN111112621B (en) | A method for predicting and monitoring the shape and size of the molten pool for laser directed energy deposition | |
| Liu et al. | Simulation of EPS foam decomposition in the lost foam casting process | |
| CN109063322B (en) | A Numerical Prediction Method for Shrinkage Defects of Castings | |
| CN111283192A (en) | Laser powder bed melting additive manufacturing molten pool monitoring and pore control method | |
| CN105868434A (en) | Method for simulating heat and mass transfer of reinforcement phase and melt interface in laser 3D printing composite material molten pool | |
| CN102426622B (en) | Adaptive Variable Speed Pulling Simulation Method for Single Crystal Blade Production | |
| CN107092754B (en) | A Numerical Prediction Method of Alloy Grain Microstructure | |
| CN106096215A (en) | A kind of sense of reality fluid simulation method relating to conduction of heat and Dynamic Viscosity | |
| CN109513924A (en) | Surface roughness control method in a kind of selective laser fusion process | |
| Li et al. | Simulation on deposition and solidification processes of 7075 Al alloy droplets in 3D printing technology | |
| Li et al. | Prediction of thermal residual stress and microstructure in direct laser metal deposition via a coupled finite element and multiphase field framework | |
| Ma et al. | Simulation of solidification microstructure evolution of 316L stainless steel fabricated by selective laser melting using a coupled model of smooth particle hydrodynamics and cellular automata | |
| Tsai et al. | A three dimensional cellular automaton model for the prediction of solidification morphologies of brass alloy by horizontal continuous casting and its experimental verification | |
| Pan et al. | Three-dimensional microstructure simulation of Ni-based superalloy investment castings | |
| Ren et al. | Lattice Boltzmann simulation of phase change and heat transfer characteristics in the multi-layer deposition | |
| Wang et al. | Prediction on lubrication and friction of mold flux based on inverse problem in a continuous slab casting process | |
| Xiao et al. | Comparative analysis of isothermal and non-isothermal solidification of binary alloys using phase-field model |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| RJ01 | Rejection of invention patent application after publication | ||
| RJ01 | Rejection of invention patent application after publication |
Application publication date: 20200424 |