[13] Topology optimization of material‐nonlinear continuum structures by the element connectivity parameterization
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날짜 2023-12-20 18:25:04
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G. H. Yoon and Y. Y. Kim. International journal for numerical methods in engineering 69, no. 10 (2007): 2196-2218.
The application of the element density-based topology optimization method to nonlinear continuum structures is limited to relatively simple problems such as bilinear elastoplastic material problems. Furthermore, it is very difficult to use analytic sensitivity when a commercial nonlinear finite element code is used. As an alternative to the element density formulation, the element connectivity parameterization (ECP) formulation is developed for the topology optimization of isotropic-hardening elastoplastic or hyperelastic continua by using commercial software. ECP varies the stiffness of zero-length linear elastic links that connect design domain-discretizing finite elements. Unloading was not considered. But the advantages of ECP in material-nonlinear problems were demonstrated: considerably simple analytic sensitivity calculation using a commercial code and simple link stiffness penalization regardless of nonlinear material behaviour.