期刊
CHINESE JOURNAL OF AERONAUTICS
卷 23, 期 1, 页码 46-53出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/S1000-9361(09)60186-2
关键词
non-local theory; gradient dependence; softening behavior; mesh-dependence; Hermitian element; finite element method
The issue of mesh-dependence emerges when the conventional continuum damage model is applied to handling the softening behavior. In order to circumvent the mesh-dependence, the non-local theory is introduced into the conventional damage model and the finite element formulas are derived for two-dimensional gradient-enhanced damage model. A new element is proposed in which the basic unknown quantities are displacement, non-local equivalent strain and the gradient of non-local equivalent strain. The element and constitutive equation proposed in this article are added to the finite element software ABAQUS through user subroutine UEL. Numerical results show that the gradient-enhanced damage model can eliminate the mesh-dependence and is effective for dealing with the issue of softening behavior.
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