论文标题
有限应变拓扑优化的内部接触模型
Internal contact modeling for finite strain topology optimization
论文作者
论文摘要
目前的工作提出了第三种媒介接触方法的扩展，以解决涉及和利用自我接触的结构拓扑优化问题。空隙区域的新正规化充当接触培养基，使该方法适用于非常大变形的病例。提出的接触方法以二阶拓扑优化框架实现，该框架采用了机械，设计更新和伴随问题的同时解决方案。所有三个问题均以弱形式得出和呈现，并以适当顺序的有限元素离散。在拓扑优化问题中证明了开发方法的功能和准确性，以实现所需的非线性力 - 置换路径。
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.
