Topology optimization of finite strain viscoplastic systems under transient loads

被引:35
|
作者
Ivarsson, Niklas [1 ]
Wallin, Mathias [1 ]
Tortorelli, Daniel [2 ]
机构
[1] Lund Univ, Div Solid Mech, Box 118, SE-22100 Lund, Sweden
[2] Lawrence Livermore Natl Lab, Ctr Design & Optimizat, Livermore, CA USA
基金
瑞典研究理事会;
关键词
crashworthiness; discrete adjoint sensitivity analysis; finite strain; rate-dependent plasticity; topology optimization; INTERPOLATION SCHEME; DESIGN;
D O I
10.1002/nme.5789
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A transient finite strain viscoplastic model is implemented in a gradient-based topology optimization framework to design impact mitigating structures. The model's kinematics relies on the multiplicative split of the deformation gradient, and the constitutive response is based on isotropic hardening viscoplasticity. To solve the mechanical balance laws, the implicit Newmark-beta method is used together with a total Lagrangian finite element formulation. The optimization problem is regularized using a partial differential equation filter and solved using the method of moving asymptotes. Sensitivities required to solve the optimization problem are derived using the adjoint method. To demonstrate the capability of the algorithm, several protective systems are designed, in which the absorbed viscoplastic energy is maximized. The numerical examples demonstrate that transient finite strain viscoplastic effects can successfully be combined with topology optimization.
引用
收藏
页码:1351 / 1367
页数:17
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