@Article{cmc.2007.003.025,
AUTHOR = {Lingfei  Gao, Xiaoping  Zheng, Zhenhan  Yao},
TITLE = {Numerical Simulation of Elastic Behaviour and Failure Processes in Heterogeneous Material},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {3},
YEAR = {2006},
NUMBER = {1},
PAGES = {25--36},
URL = {http://www.techscience.com/cmc/v3n1/22371},
ISSN = {1546-2226},
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.},
DOI = {10.3970/cmc.2007.003.025}
}