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research-article

An adaptive multi-patch isogeometric phase-field model for dynamic brittle fracture

Authors:

Sundararajan NatarajanAuthors Info & Claims

Volume 153, Issue C

Pages 1 - 19

https://doi.org/10.1016/j.camwa.2023.11.004

Published: 04 March 2024 Publication History

Abstract

This paper presents an adaptive multi-patch isogeometric phase-field model based on Nitsche's method for simulating dynamic brittle fracture. Complex structures are accurately represented with multiple patches, and Nitsche's method is used to link two adjacent patches to ensure the compatibility and continuity of physical quantities (such as displacements, stresses, phase-field variables) on the coupling edge. LR NURBS with the local refinement ability are used for spatial discretization, while a generalized-α method is used for temporal discretization. The staggered algorithm and hybrid PFM formulation are adopted to enhance the solution efficiency of multi-field coupled system. In addition, the local refinement is executed utilising the phase-field threshold. Several dynamic fracture examples are used to validate the proposed approach's accuracy and effectiveness. The proposed approach can effectively model dynamic fracture propagation, and numerical results demonstrate that the adaptive analysis may significantly lower the computing cost.

Highlights

•

An adaptive dynamic multi-patch isogeometric phase-field model is developed.

•

Complex structure is represented with multiple patches.

•

Nitsche's method is employed to link two patches.

•

A prescribed threshold of phase-field variable is used as a refinement indicator.

•

Numerical results demonstrate the accuracy and effectiveness of the approach.

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An adaptive multi-patch isogeometric phase-field model for dynamic brittle fracture

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Information & Contributors

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Published In

cover image Computers & Mathematics with Applications

Computers & Mathematics with Applications Volume 153, Issue C

Jan 2024

257 pages

Issue’s Table of Contents

Elsevier Ltd.

Publisher

Pergamon Press, Inc.

United States

Publication History

Published: 04 March 2024

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