CN104446137B - A kind of method utilizing thermal linear expansion coefficient to prepare epoxy resin mortar and concrete - Google Patents

Abstract

The present invention relates to the computational methods of thermal linear expansion coefficient, in particular to a kind of method utilizing thermal linear expansion coefficient to prepare epoxy resin mortar and concrete.The present invention is by the measuring method according to thermal linear expansion coefficient, it is determined by the thermal linear expansion coefficient of required epoxy resin mortar, formula is used to calculate required epoxy resin mortar epoxy resin and the volume relationship of filler, calculate quality proportioning further according to volume relationship, obtain meeting the making formula of the epoxy resin mortar using environment.The present invention computing formula by thermal linear expansion coefficient, provide and a kind of calculate epoxy resin mortar and the matching method of epoxy resin concrete material simply, efficiently, accurately, various construction field can be widely used in, can quickly obtain being suitable for construction and using the epoxy resin mortar under environment or epoxy resin concrete, there is great promotional value.

Description

A kind of method utilizing thermal linear expansion coefficient to prepare epoxy resin mortar and concrete

Technical field

The present invention relates to the computational methods of thermal linear expansion coefficient, utilize in particular to one linear Thermal coefficient of expansion prepares the method for epoxy resin mortar and concrete.

Background technology

Epoxy resin mortar is that one mixes with inorganic filler by a certain percentage with epoxy resin, curing agent The composite of configuration, the solidfied material of its epoxy resin is by epoxy resin and curing agent The high polymer with three-dimensional net structure that cross-linking reaction is formed, extensive at applications in civil engineering.

Often there is the destruction caused because of temperature change in epoxy resin mortar during using, therefore, When using epoxy resin mortar, need its thermal linear expansion coefficient is measured, meeting relevant wanting Can use in the case of asking.But, the measurement of thermal linear expansion coefficient is time-consuming a, consumption Power, the work of consuming, accurate measurement needs the instrument of costliness to realize especially.And by In epoxy resin mortar, each raw-material composition, ratio often change, particularly development, if Each test ratio is carried out the test of thermal linear expansion coefficient, it will consumption great effort, Financial resources, material resources, also can have a strong impact on progress and the quality of research and development.Therefore, in the urgent need to finding A kind of method simple, practical, quick calculates the thermal linear expansion coefficient of epoxy resin mortar.

Summary of the invention

Present invention aim to solve the deficiency of above-mentioned background technology, it is provided that one utilizes line Linear thermal expansion coefficient prepares the method for epoxy resin mortar and concrete.

The testing method of the present invention is based on " ASTM D696 Standard Test Method for Coefficient of Linear Thermal Expansion of Plastics Between-30℃ 30 DEG C of with a Vitreous Silica Dilatometer of and " linear thermal expansion system in standard The method of testing of number, the schematic diagram of concrete method of testing is shown in Fig. 1, utilizes and be wrapped in quartz glass The expansion change that sample 3 in pipe 4 occurs in temperature inversion, is gone out by quartz glass bar 5 Existing discrepancy in elevation change obtains the concrete numerical value expanding change of sample 3.

The principle of the present invention is as follows: owing to the linear expansion coefficient of filler is far smaller than asphalt mixtures modified by epoxy resin Fat, in epoxy resin mortar, filler is all wrapped up by epoxy resin, and when cooling, filler can limit The contraction of a part of wrapped resin, resin then can increase the contraction of wrapped up filler；During intensification, Filler can limit the expansion of a part of wrapped resin, and resin then can increase the swollen of wrapped up filler Swollen.For the ease of analyzing epoxy resin mortar linear expansion coefficient, make hypothesis below:

(1) not considering to limit in expansion, contraction process, epoxy resin, filler are made because limiting The change caused with the stress produced；

(2) embedding effec of filler is not considered, it is believed that filler is wrapped up by epoxy resin completely；

(3) by abstract for filler for cube, the epoxy resin of parcel filler is also divided into uniformly Cube, do not consider the restriction effect between each cube；

(4) do not consider temperature gradient effect, do not consider cubic deformation；

Owing to the elastic modelling quantity (generally between 20-30Gpa) of filler is much larger than epoxy resin Elastic modelling quantity (generally between 0.1-2.8Gpa), heat up or temperature-fall period in, filler Epoxy resin is deformed the restriction effect that filler is deformed by restriction effect much larger than epoxy resin, Namely when the filled restriction of epoxide resin material, the linear heat of epoxy resin is divided in this restricting portion The coefficient of expansion can be equal to the thermal linear expansion coefficient of filler.Therefore thermal linear expansion coefficient etc. When each material is without constraint, each material thermal linear expansion coefficient by volume relation calculating sum draws Thermal linear expansion coefficient deduct the contraction of the filled restriction of its epoxy resin.

The technical scheme is that one utilize thermal linear expansion coefficient prepare epoxy resin mortar and The method of concrete, it is characterised in that: according to construction usage environment, determine required epoxy The thermal linear expansion coefficient α of mortar_e, with reference to the thermal linear expansion coefficient α of epoxy resin mortar_eSelect to close Suitable epoxy resin and filler are (it is generally required to according to actual environment, select the suitable epoxy of performance Resin)；Described filler is particle diameter quartz sand between 4.75mm～5.50mm or river sand； The thermal linear expansion coefficient of described epoxy resin is α₁, the linear thermal expansion system of described filler Number is α₂；According to following computing formula, determine the volume relationship of epoxy resin and filler:

$\frac{V_1}{V_2}=\frac{{({\mathrm{\α}}_2-{\mathrm{\α}}_1)}^3}{{({\mathrm{\α}}_e-{\mathrm{\α}}_1)}^3}-1$ Formula 1

Wherein: α_eThe thermal linear expansion coefficient of epoxy resin mortar；

α₁The thermal linear expansion coefficient of epoxy resin；

α₂The thermal linear expansion coefficient of filler；

V₁The volume of epoxy resin；

V₂The volume of filler；

Described epoxy resin and packing density are respectively ρ₁、ρ₂, utilize density formula, calculate Go out the quality proportioning of epoxy resin and filler；Choose epoxy resin and the filler of above-mentioned quality proportioning Mix and blend prepares epoxy resin mortar.

The thermal linear expansion coefficient α of the epoxy resin chosen in the most described step 2₁ In the range of α_e<α₁<3.5α_e。

The thermal linear expansion coefficient of the most described epoxy resin mortar is α_e, with reference to span 0.65α_e<α_c<0.85α_e, determine the thermal linear expansion coefficient α of epoxy resin concrete_c；Described The thermal linear expansion coefficient of rubble added in epoxy resin mortar be α₃；Public according to lower column count Formula, determines the volume ratio of epoxy resin mortar and rubble:

$\frac{V_e}{V_3}=\frac{{({\mathrm{\&alpha;}}_3-{\mathrm{\&alpha;}}_e)}^3}{{({\mathrm{\&alpha;}}_c-{\mathrm{\&alpha;}}_e)}^3}-1$ Formula 2

Wherein: α_cThe thermal linear expansion coefficient of epoxy resin concrete；

α_eThe thermal linear expansion coefficient of epoxy resin mortar；

α₃The thermal linear expansion coefficient of rubble；

V_eThe volume of epoxy resin mortar；

V₃The volume of rubble；

The density of described epoxy resin mortar is ρ₃, the density of rubble is ρ₄, utilize density formula, Draw the quality proportioning of epoxy resin mortar and rubble, choose epoxy resin mortar and the rubble of this quality proportioning Mix and blend prepares epoxy resin concrete.

The derivation that computing formula of the present invention is concrete is as follows: Fig. 2, Fig. 3 are that epoxy resin mortar is taken out As model, wherein the epoxy resin mortar length of side is d₁, the length of side of filler is d₂.Assume epoxy in Fig. 3 The volume of resin is V₁, the volume of filler is V₂, and V₁+V₂=1, V₂=d₂ ³.With cooling As a example by, compared with Fig. 2, in Fig. 3, pure epoxy resin part with free shrink, and can be wrapped up and filling out The part of material, i.e. d in Fig. 3₂Part resin be restricted cannot free shrink, the most right Compression is caused inside mortar.Ignore the contraction that filler causes because of the restriction of epoxy resin, then:

Deformation (the ε of final system_e)=epoxy resin free shrink deformation (ε₁)+filler is certainly By contraction distortion (ε₂)-resin confined shrinkage deformation (ε_lim)

Be converted to formula:

ε₁=l₁×α₁× Δ T=V₁×α₁× Δ T formula 3

ε₂=l₂×α₂× Δ T=V₂×α₂× Δ T formula 4

Wherein: ε₁Epoxy resin free shrink deforms；

ε₂Filler free shrink deforms；

α₁Epoxy resin thermal linear expansion coefficient；

α₂Filler thermal linear expansion coefficient；

l₁The length of epoxy resin；

l₂The length of filler；

V₁The volume of epoxy resin；

V₂The volume of filler；

Δ T temperature change；

(testing standard according to thermal linear expansion coefficient can to assume the change of other both direction length Know, measure thermal linear expansion coefficient and only consider the change on length direction, other both directions Change is not counted in consideration), and ε_limFor d in Fig. 3₂The confined shrinkage value of part, i.e. d₂Portion Divide the product of volume shared by epoxy resin and the difference of bi-material thermal linear expansion coefficient, as follows Formula:

ε_lim=(α₁-α₂)×(d₁ ²-d₂ ²)×d₂× Δ T formula 5

Wherein: α₁Epoxy resin thermal linear expansion coefficient；

α₂Filler thermal linear expansion coefficient；

d₁The length of epoxy resin mortar；

d₂The length of filler；

Δ T temperature change；

According to V₁+V₂=1, V₂=d₂ ³Understanding, formula 3 is variable to be turned to:

${\mathrm{\&epsiv;}}_{\lim }=({\mathrm{\&alpha;}}_1-{\mathrm{\&alpha;}}_2)\&times;(\sqrt[3]{V_1+V_2}\&times;\sqrt[3]{V_1+V_2}-\sqrt[3]{V_2}\&times;\sqrt[3]{V_2})\&times;\sqrt[3]{V_2}\&times;\mathrm{\&Delta;T}$ Formula 6

Then final epoxy resin mortar thermal linear expansion coefficient α_eCan be calculated as follows:

$\begin{array}{c}{\mathrm{\&alpha;}}_e=\frac{{\mathrm{\&epsiv;}}_1+{\mathrm{\&epsiv;}}_2-{\mathrm{\&epsiv;}}_{\lim }}{(l_1+l_2)\&times;\mathrm{\&Delta;T}}=\frac{V_1\&times;{\mathrm{\&alpha;}}_1\&times;\mathrm{\&Delta;T}+V_2\&times;{\mathrm{\&alpha;}}_2\&times;\mathrm{\&Delta;T}-{\mathrm{\&epsiv;}}_{\lim }}{(V_1+V_2)\&times;\mathrm{\&Delta;T}}\\ {\mathrm{\&alpha;}}_e=V_1{\mathrm{\&alpha;}}_1+V_2{\mathrm{\&alpha;}}_2-({\mathrm{\&alpha;}}_1-{\mathrm{\&alpha;}}_2)(1-\sqrt[3]{{V_2}^2})\&times;\sqrt[3]{V_2}\end{array}$ Formula 7

Above formula is the computing formula of epoxy resin mortar thermal linear expansion coefficient, wherein V₁For epoxy The volume content of resin, V₂Volume content for filler.

During actual application, it is thus necessary to determine that be V₁And V₂Volume relationship, then root Obtain quality proportioning according to volume relationship and meet, to make, the epoxy resin mortar used under environment, because of This, the thermal linear expansion coefficient α of the epoxy resin mortar being actually needed_eIt is known that the epoxy resin needed With filler it is known that therefore calculate V₁And V₂Volume relationship as follows:

$\frac{V_1}{V_2}=\frac{{({\mathrm{\&alpha;}}_2-{\mathrm{\&alpha;}}_1)}^3}{{({\mathrm{\&alpha;}}_e-{\mathrm{\&alpha;}}_1)}^3}-1$ Formula 1

Wherein: α_eThe thermal linear expansion coefficient of epoxy resin mortar；

α₁The thermal linear expansion coefficient of epoxy resin；

α₂The thermal linear expansion coefficient of filler；

V₁The volume of epoxy resin；

V₂The volume of filler；

Filler is generally particle diameter quartz sand between 4.75mm～5.50mm or river sand.

The present invention computing formula by thermal linear expansion coefficient, it is provided that a kind of simple, efficiently, Calculate epoxy resin mortar and the matching method of epoxy resin concrete material accurately, can answer widely For various construction fields, can quickly obtain being suitable for construction and use the epoxy resin mortar under environment or Person's epoxy resin concrete, has great promotional value.

Accompanying drawing explanation

Fig. 1: ASTM D696 measurement apparatus schematic diagram；

Fig. 2: epoxy resin mortar of the present invention simulation schematic diagram；

Fig. 3: epoxy resin mortar unit simulation schematic diagram of the present invention；

Wherein: 1 epoxy resin；2 fillers；3 samples；4 quartz glass tubes；5— Quartz glass bar.

Detailed description of the invention

According to construction usage environment in actual application, it may be determined that epoxy resin mortar linear heat swollen Swollen factor alpha_e, according to α_eThis epoxy resin mortar epoxy resin and filler can be derived in turn Volume relationship, further according to respective density, can obtain preparing the quality proportioning of this epoxy resin mortar.

Specifically comprise the following steps that 1), according to construction usage environment, determine required epoxy resin mortar Thermal linear expansion coefficient α_e, generally, according to the weather that construction is local, use environment Under temperature change etc. may determine that the thermal linear expansion coefficient α of epoxy resin mortar of needs_e；

2), with reference to the thermal linear expansion coefficient α of the epoxy resin mortar used_e, select suitable ring Epoxy resins and filler, the thermal linear expansion coefficient of described epoxy resin is α₁, the epoxy chosen The thermal linear expansion coefficient α of resin₁In the range of α_e<α₁<3.5α_e, in actual use, If the thermal linear expansion coefficient of epoxy resin mortar is excessive it is possible that stirring mixes showing of difficulty As, the less epoxy resin of thermal linear expansion coefficient can be properly selected and carry out mix and blend. The thermal linear expansion coefficient of described filler is α₂；

3), according to following computing formula, the volume relationship of epoxy resin and filler is determined:

$\frac{V_1}{V_2}=\frac{{({\mathrm{\&alpha;}}_2-{\mathrm{\&alpha;}}_1)}^3}{{({\mathrm{\&alpha;}}_e-{\mathrm{\&alpha;}}_1)}^3}-1$ Formula 1

Wherein: α_eThe thermal linear expansion coefficient of epoxy resin mortar；

α₁The thermal linear expansion coefficient of epoxy resin；

α₂The thermal linear expansion coefficient of filler；

V₁The volume of epoxy resin；

V₂The volume of filler；

4), inspection information obtains epoxy resin and the density of filler, respectively ρ₁、ρ₂, utilize Density formula, calculates the quality proportioning of epoxy resin and filler, i.e.

$\frac{m_1}{m_2}=\frac{{\mathrm{\&rho;}}_1{V}_1}{{\mathrm{\&rho;}}_2{V}_2}$ Formula 8

Wherein: m₁Epoxy resin quality；

m₂Packing quality；

ρ₁Epoxy resin density；

ρ₂Packing density；

5), epoxy resin and the filler mix and blend of the proportioning in selecting step 4 prepares epoxy Mortar.

Can prepare according to the epoxy resin mortar described in formula 1 and meet the epoxy that site environment requires Resin concrete, adds rubble in epoxy resin mortar and can prepare epoxy resin concrete.Root Thermal linear expansion coefficient α according to construction usage environment and selected epoxy resin mortar_e, with reference to value Scope 0.65 α_e<α_c<0.85α_e, determine the thermal linear expansion coefficient α of epoxy resin concrete_c； The thermal linear expansion coefficient of the described rubble added in epoxy resin mortar is α₃；According to following meter Calculate formula, determine the volume ratio of epoxy resin mortar and rubble:

$\frac{V_e}{V_3}=\frac{{({\mathrm{\&alpha;}}_3-{\mathrm{\&alpha;}}_e)}^3}{{({\mathrm{\&alpha;}}_c-{\mathrm{\&alpha;}}_e)}^3}-1$ Formula 2

Wherein: α_cThe thermal linear expansion coefficient of epoxy resin concrete；

α_eThe thermal linear expansion coefficient of epoxy resin mortar；

α₃The thermal linear expansion coefficient of rubble；

V_eThe volume of epoxy resin mortar；

V₃The volume of rubble；

Can get the volume ratio of epoxy resin, filler and rubble according to formula 1 and formula 2, utilize close Degree formula, draws the quality proportioning of three kinds of compositions of epoxy resin concrete, chooses this quality proportioning Epoxy resin and filler mix and blend prepare epoxy resin concrete.

The present invention calculated by formula can obtain difference use the concrete under environment or The proportioning of mortar, it is not necessary to this is measured by substantial amounts of, expensive instrument and equipment, saves Substantial amounts of manpower and materials.

The epoxy resin mortar additionally calculated this method carries out checking test, the method reference of test 《ASTM D696 Standard Test Method for Coefficient of Linear Thermal Expansion of Plastics Between-30℃ and 30℃ with a Vitreous Silica Dilatometer " standard, concrete test data see table:

Table 1: checking test data

Note: described mass ratio is the mass ratio of epoxy resin and filler, test value is for utilizing mark The data that quasi-test method obtains, calculated value is the number utilizing computing formula of the present invention to calculate Value.

From table 1 it follows that actual measured value and calculated value error are 0～7.04%, error The least, maintain in allowed band, it was demonstrated that the computational methods that the present invention provides have the highest accurate Property.

The present invention computing formula by thermal linear expansion coefficient, it is provided that a kind of simple, efficiently, Calculate epoxy resin mortar and the matching method of epoxy resin concrete material accurately, can answer widely For various construction fields, can quickly obtain being suitable for construction and use the epoxy resin mortar under environment or Person's epoxy resin concrete, has great promotional value.

Claims (2)

1. one kind utilize thermal linear expansion coefficient computational methods to determine raw material proportioning prepares epoxy sand The method of slurry, it is characterised in that: according to construction usage environment, determine required epoxy resin mortar Thermal linear expansion coefficient α_e, with reference to the thermal linear expansion coefficient α of epoxy resin mortar_eSelect suitably Epoxy resin and filler；Described filler is particle diameter quartz between 4.75mm～5.50mm Sand or river sand；The thermal linear expansion coefficient of described epoxy resin is α₁, the line of described filler Linear thermal expansion coefficient is α₂；According to following computing formula, determine the volume of epoxy resin and filler Relation:

Wherein: α_eThe thermal linear expansion coefficient of epoxy resin mortar；

α₁The thermal linear expansion coefficient of epoxy resin；

α₂The thermal linear expansion coefficient of filler；

V₁The volume of epoxy resin；

V₂The volume of filler；

Described formula based on the assumption that (1) do not consider to limit expand, in contraction process, ring The change that the stress that epoxy resins, filler produce because of restriction effect causes；

(2) embedding effec of filler is not considered, it is believed that filler is wrapped up by epoxy resin completely；

(3) by abstract for filler for cube, the epoxy resin of parcel filler is also divided into uniformly Cube, do not consider the restriction effect between each cube；

(4) do not consider temperature gradient effect, do not consider cubic deformation；

Described epoxy resin and packing density are respectively ρ₁、ρ₂, utilize density formula, calculate Go out the quality proportioning of epoxy resin and filler；Choose epoxy resin and the filler of above-mentioned quality proportioning Mix and blend prepares epoxy resin mortar；

The thermal linear expansion coefficient α of epoxy resin₁In the range of α_e<α₁<3.5α_e。

2. one kind utilize thermal linear expansion coefficient computational methods to determine raw material proportioning prepares asphalt mixtures modified by epoxy resin The method of fat concrete, it is characterised in that: described epoxy resin concrete utilizes right such as to want Ask the epoxy resin mortar described in 1 to add rubble to be prepared from；The linear heat of described epoxy resin mortar is swollen Swollen coefficient is α_e, determine the thermal linear expansion coefficient α of epoxy resin concrete_cSpan be 0.65α_e<α_c<0.85α_e；The thermal linear expansion coefficient of the rubble added in epoxy resin mortar is α₃； According to following computing formula, determine the volume ratio of epoxy resin mortar and rubble:

Wherein: α_cThe thermal linear expansion coefficient of epoxy resin concrete；

α_eThe thermal linear expansion coefficient of epoxy resin mortar；

α₃The thermal linear expansion coefficient of rubble；

V_eThe volume of epoxy resin mortar；

V₃The volume of rubble；

The density of described epoxy resin mortar is ρ₃, the density of rubble is ρ₄, utilize density formula, draw Epoxy resin mortar and the quality proportioning of rubble, choose epoxy resin mortar and the rubble mixing of this quality proportioning Epoxy resin concrete is prepared in stirring.