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Coherent Precipitation — Phase Field Method
2005Phase transformation is still the most efficient and effective way to produce various microstructures at mesoscales, and to control their evolution over time. In crystalline solids, phase transformations are usually accompanied by coherency strain generated by lattice misfit between coexisting phases.
C. Shen, Y. Wang
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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, 2022Yuhong Zhao, Long-Qing Chen
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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, Qing Xia, Wenxuan Xie
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Adaptive phase field method using novel physics based refinement criteria
Computer Methods in Applied Mechanics and Engineering, 2021Haim Waisman, S Natarajan
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Mapped phase field method for brittle fracture
Computer Methods in Applied Mechanics and Engineering, 2021Sheng Mao +2 more
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A life prediction method of mechanical structures based on the phase field method and neural network
Applied Mathematical Modelling, 2023Wenliao Du, Yunqiao Dong
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