论文标题
定期微观结构材料的拓扑优化，用于量身定型的本构特性
Topology optimization of nonlinear periodically microstructured materials for tailored homogenized constitutive properties
论文作者
论文摘要
提出了一种拓扑优化方法，用于设计具有有限应变范围的规定同质非线性本构特性的定期微结构材料。机械模型假设线性弹性各向同性材料，有限应变时的几何非线性和准静态响应。通过非线性编程方法和通过伴随方法计算的灵敏度解决了优化问题。与数值预测的行为相比，使用此优化方法鉴定的二维结构是加性制造的，其单轴拉伸应变响应。本文的优化方法使具有规定的非线性有效特性的晶格样材料的设计和开发用于无数潜在的应用，从应力波和缓解振动到软机器人技术。
A topology optimization method is presented for the design of periodic microstructured materials with prescribed homogenized nonlinear constitutive properties over finite strain ranges. The mechanical model assumes linear elastic isotropic materials, geometric nonlinearity at finite strain, and a quasi-static response. The optimization problem is solved by a nonlinear programming method and the sensitivities computed via the adjoint method. Two-dimensional structures identified using this optimization method are additively manufactured and their uniaxial tensile strain response compared with the numerically predicted behavior. The optimization approach herein enables the design and development of lattice-like materials with prescribed nonlinear effective properties, for use in myriad potential applications, ranging from stress wave and vibration mitigation to soft robotics.
