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Internal contact modeling for finite strain topology optimization
arXiv - CS - Computational Engineering, Finance, and Science Pub Date : 2020-10-27 , DOI: arxiv-2010.14277 Gore Lukas Bluhm, Ole Sigmund, Konstantinos Poulios
arXiv - CS - Computational Engineering, Finance, and Science Pub Date : 2020-10-27 , DOI: arxiv-2010.14277 Gore Lukas Bluhm, Ole Sigmund, Konstantinos Poulios
The present work proposes an extension of the third medium contact method for
solving structural topology optimization problems that involve and exploit
self-contact. A new regularization of the void region, which acts as the
contact medium, makes the method suitable for cases with very large
deformations. The proposed contact method is implemented in a second order
topology optimization framework, which employs a coupled simultaneous solution
of the mechanical, design update, and adjoint problems. All three problems are
derived and presented in weak form, and discretized with finite elements of
suitable order. The capabilities and accuracy of the developed method are
demonstrated in a topology optimization problem for achieving a desired
non-linear force-displacement path.
中文翻译:
有限应变拓扑优化的内部接触建模
目前的工作提出了第三种介质接触方法的扩展,用于解决涉及和利用自接触的结构拓扑优化问题。作为接触介质的空隙区域的新规则化使该方法适用于变形非常大的情况。所提出的接触方法在二阶拓扑优化框架中实现,该框架采用机械、设计更新和伴随问题的耦合同步解决方案。所有三个问题都以弱形式导出和呈现,并用适当阶次的有限元离散化。所开发方法的能力和准确性在拓扑优化问题中得到了证明,以实现所需的非线性力-位移路径。
更新日期:2020-10-28
中文翻译:
有限应变拓扑优化的内部接触建模
目前的工作提出了第三种介质接触方法的扩展,用于解决涉及和利用自接触的结构拓扑优化问题。作为接触介质的空隙区域的新规则化使该方法适用于变形非常大的情况。所提出的接触方法在二阶拓扑优化框架中实现,该框架采用机械、设计更新和伴随问题的耦合同步解决方案。所有三个问题都以弱形式导出和呈现,并用适当阶次的有限元离散化。所开发方法的能力和准确性在拓扑优化问题中得到了证明,以实现所需的非线性力-位移路径。