期刊
ADVANCES IN ENGINEERING SOFTWARE
卷 123, 期 -, 页码 25-37出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.advengsoft.2018.05.006
关键词
Topology optimization; Element-free Galerkin method; Directly coupled method; Hyperelastic material; Large deformation
类别
资金
- National Natural Science Foundation of China [51375383]
- Natural Science Basic Research Plan in Shaanxi Province of China [2017JM500]
Meshless methods can solve large classes of problems where grid-based methods are awkward to handle, such as the discretizing of complicated structures, the remeshing in large displacement problems and so on. In this study, a meshless-based topology optimization is proposed for large displacement problems of nonlinear hyperelastic structure. In order to circumvent nonlinear numerical instabilities, the linear and nonlinear analyses are set in the low- and high-stiffness region, respectively. Thus, an interpolation scheme is adopted for hybridizing the linearity and nonlinearity in the structure analysis. A directly coupled finite element and meshless method is introduced to reduce the computational cost of meshless methods and an auto-coupling strategy is proposed for the adaptive arrangement of finite element and meshless regions. Several numerical examples are given to demonstrate the effectiveness of the proposed method.
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