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The Phase-Field Method in Optimal Design
2006We describe the phase-field method, a new approach to optimal design originally introduced in Bourdin and Chambolle (2000, 2003). It is based on the penalization of the variation of the properties of the designs, and its variational approximation (in the sense of Г-convergence.
Blaise Bourdin, Antonin Chambolle
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From classical thermodynamics to phase-field method
Progress in Materials Science, 2022Long-Qing Chen, Yuhong Zhao
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A phase field numerical manifold method for crack propagation in quasi-brittle materials
Engineering Fracture Mechanics, 2021Yongtao Yang, Hong Zheng
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An effective phase field method for topology optimization without the curvature effects
Computers and Mathematics With Applications, 2023YiBao Li
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Mapped phase field method for brittle fracture
Computer Methods in Applied Mechanics and Engineering, 2021Tianju Xue +2 more
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Adaptive phase field method using novel physics based refinement criteria
Computer Methods in Applied Mechanics and Engineering, 2021Haim Waisman, Sundararajan Natarajan
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A life prediction method of mechanical structures based on the phase field method and neural network
Applied Mathematical Modelling, 2023Guizhong Xie +2 more
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A conservative phase field method for solving incompressible two-phase flows
Journal of Computational Physics, 2011Pao-Hsiung Chiu, Yan-Ting Lin
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