Generating optimal topologies in structural design using a homogenization method
Computer Methods in Applied Mechanics and Engineering
Methods of engineering mathematics
Methods of engineering mathematics
Optimal 3D stiffener design with frequency considerations
Advances in Engineering Software
Structural and Multidisciplinary Optimization
Structural-acoustic optimization of a rectangular plate: A tabu search approach
Finite Elements in Analysis and Design
Structural topology synthesis with dynamics and nonlinearities using equivalent linear systems
Structural and Multidisciplinary Optimization
Topology optimization of hyperelastic bodies including non-zero prescribed displacements
Structural and Multidisciplinary Optimization
Robust topology optimisation of bi-modulus structures
Computer-Aided Design
A survey of structural and multidisciplinary continuum topology optimization: post 2000
Structural and Multidisciplinary Optimization
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In this paper, topology optimization of both geometrically and materially nonlinear structure is studied using a general displacement functional as the objective function. In order to consider large deformation, effective stress and strain are expressed in terms of 2nd Piolar-Kirchhoff stress tensor and Green-Lagrange strain tensor, and constitutive equation is derived from the relation between the effective stress and strain. Sensitivity analysis of the general displacement functional is derived using the adjoint method. Numerical results of mean compliance design are compared under linear analysis, geometrical nonlinear analysis, material nonlinear analysis, and combined nonlinear analysis.