期刊
APPLIED MATHEMATICAL MODELLING
卷 126, 期 -, 页码 67-84出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2023.10.032
关键词
Hyperelasticity; Frictionless contact; Strength constraint; Topology optimization; Node-to-segment
This paper developed a strength constrained topology optimization method for hyperelastic structures with large deformation-induced frictionless contact and validated the proposed method with several benchmark examples.
This paper developed a strength constrained topology optimization method for hyperelastic structures with large deformation-induced frictionless contact. The Neo-Hookean hyperelastic constitutive equation is adopted as the material model that incorporates both material and geometric nonlinearity. The large deforming contact is described by the node-to-segment algorithm. The topology optimization model is developed under the SIMP framework. Given the SIMP-related fictitious domain, we develop a nodal variable-based interpolation scheme to build smooth correlation between the contact force and nodal density variables, thus enabling the smooth transition and variation of contact conditions. Moreover, to guarantee the structure strength, local strain energy constraints are formulated and aggregated by the P-norm function. The details of sensitivity analysis are explicitly explained. At last, several benchmark examples are conducted that validate the proposed method.
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