An efficient method for the elastic field in a transversely isotropic full space due to arbitrary inclusions

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:203

Article

Zhao, Le^1,2  Wang, Q. Jane²  Wang, Zhanjiang¹  Zhang, Mengqi¹  Zhang, Xin²  Li, Pu^2,3 

[1] Southwest Jiaotong Univ, Inst Tribol Res, Chengdu 610031, Sichuan, Peoples R China

[2] Northwestern Univ, Ctr Surface Engn & Tribol, Evanston, IL 60208 USA

[3] Chongqing Univ, State Key Lab Mech Transmiss, Chongqing 400030, Peoples R China

关键词: Arbitrary eigenstrains;    Transversely isotropic materials;    Material anisotropy;    Fast Fourier transform;   

DOI  :  10.1016/j.ijsolstr.2020.07.020

来源: Elsevier

【 摘 要 】

The present study is on the analytical solution for the elastic field due to a cuboidal inclusion of uniform eigenstrain within a transversely isotropic full-space material, and a numerical method to model inclusions of any arbitrary shapes and with any eigenstrain distributions as the integration of a set of such cuboidal inclusions. The fast Fourier transform (FFT) is applied for efficient computation. The developed method and results are implemented to analyze the elastic field in a transversely isotropic full-space material containing inclusions of different shapes, different eigenstrain distributions, and multiple cuboids of different densities. Furthermore, the effect of material anisotropy on the stress field subjected to a spherical inclusion with pure dilatant eigenstrains is explored by comparing the behavior of a transversely isotropic material with that of a corresponding isotropic one. The numerical results show that the induced stresses are drastically influenced by the Young's moduli of transversely isotropic materials, and that material constant C-33 has a large influence on normal stress sigma(33). (C) 2020 Elsevier Ltd. All rights reserved.

【 授权许可】

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