Open Access

ARTICLE

Numerical Simulation of Elastic Behaviour and Failure Processes in Heterogeneous Material

Lingfei Gao¹, Xiaoping Zheng^1,2, Zhenhan Yao¹

1 Department of Engineering Mechanics, Tsinghua University, Beijing, 100084 China.
2 Corresponding author: E-mail:zhengxp@mail.tsinghua.edu.cn

Computers, Materials & Continua 2006, 3(1), 25-36. https://doi.org/10.3970/cmc.2007.003.025

Abstract

A general numerical approach is developed to model the elastic behaviours and failure processes of heterogeneous materials. The heterogeneous material body is assumed composed of a large number of convex polygon lattices with different phases. These phases are locally isotropic and elastic-brittle with the different lattices displaying variable material parameters and a Weibull-type statistical distribution. When the effective strain exceeds a local fracture criterion, the full lattice exhibits failure uniformly, and this is modelled by assuming a very small Young modulus value. An auto-select loading method is employed to model the failure process. The proposed hybrid approach is applied to plane stress problems with fracture patterns and effective load-displacement curves presented to illustrate the full failure process.

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Keywords

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