A 213-line topology optimization code for geometrically nonlinear structures

• DOI: 10.1007/s00158-018-2138-5
• Publication Date: 2018-11-22T23:33:54Z
• Authors: Qi Chen; Xianmin Zhang; Benliang Zhu
• Keywords: Topology optimization; Hyperelastic material; Line (geometry); Code (set theory); Compliant mechanism

This paper presents a 213-line MATLAB code for topology optimization of geometrically nonlinear structures. It is developed based on the density method. The code adopts the ANSYS parametric design language (APDL) that provides convenient access to advanced finite element analysis (FEA). An additive hyperelasticity technique is employed to circumvent numerical difficulties in solving the material density-based topology optimization of elastic structures undergoing large displacements. The sensitivity information is obtained by extracting the increment of the element strain energy. The validity of the code is demonstrated by the minimum compliance problem and the compliant inverter problem.