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Elastic solutions with arbitrary elastic inhomogeneity and anisotropy |
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| Authors: | JJ Wang S Bhattacharyya Q Li TW Heo XQ Ma Long-Qing Chen |
| Institution: | 1. Department of Materials Science and Engineering , The Pennsylvania State University , University Park, Pennsylvania 16802 , USA;2. Department of Physics , University of Science and Technology Beijing , Beijing 100083 , China wjj8384@gmail.com;4. Department of Materials Science and Engineering , The Pennsylvania State University , University Park, Pennsylvania 16802 , USA;5. State Key Laboratory for Mechanical Structural Strength and Vibration , School of Aerospace, Xi’an Jiaotong University , 710049, China;6. Department of Physics , University of Science and Technology Beijing , Beijing 100083 , China |
| Abstract: | An efficient numerical algorithm is proposed to accurately compute the elastic fields in two-dimensional (2D) or three-dimensional (3D) microstructures with arbitrary elastic inhomogeneity and anisotropy. It combines the equivalent inclusion method of Eshelby, the microelasticity theory of Khachaturyan, and the spectral iterative perturbation method of Hu and Chen. Its efficiency is compared with those of existing approaches in the literature. The method can be conveniently implemented in phase-field modeling of stress-dependent microstructure evolution and/or of mass/electrical transport. |
| Keywords: | phase field microelasticity equivalent inclusion method spectral iterative perturbation elasticity simulation mechanics |