期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 291, 期 -, 页码 216-239出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2015.03.024
关键词
Hyperelastic model; Cauchy-Born rule; Face centered cubic; Diamond cubic; Strain invariants; Finite element method
资金
- National Research Foundation of Korea (NRF) grant - Korea government [2012R1A3A2048841]
A new hyperelastic model for a crystal structure with face-centered cubic or diamond cubic system is proposed. The proposed model can be simply embedded into a nonlinear finite element analysis framework and does not require information of the crystal structure. The hyperelastic constitutive relation of the model is expressed as a polynomial-based strain energy density function. Nine strain invariants of the crystal structure are directly used as polynomial bases of the model. The hyperelastic material constants, which are the coefficients of the polynomials, are determined through a numerical simulation using the least square method. In the simulation, the Cauchy-Born rule and interatomic potentials are utilized to calculate reference data under various deformation conditions. As the fitting result, the hyperelastic material constants for silicon, germanium, and six transition metals (Ni, Pd, Pt, Cu, Ag, and Au) are provided. Furthermore, numerical examples are performed using the proposed hyperelastic model. (C) 2015 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据