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Structural and Multidisciplinary Optimization

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23-11-2018 | Educational Article

A 213-line topology optimization code for geometrically nonlinear structures

Authors: Qi Chen, Xianmin Zhang, Benliang Zhu

Published in: Structural and Multidisciplinary Optimization | Issue 5/2019

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Abstract

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.

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Title: A 213-line topology optimization code for geometrically nonlinear structures
Authors: Qi Chen
Xianmin Zhang
Benliang Zhu
Publication date: 23-11-2018
Publisher: Springer Berlin Heidelberg
Published in: Structural and Multidisciplinary Optimization / Issue 5/2019
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-018-2138-5

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