Journal ArticleDOI
Topology optimization of non-linear elastic structures and compliant mechanisms
T.E. Bruns,Daniel A. Tortorelli +1 more
TLDR
In this paper, the material density field is filtered to enforce a length scale on the field variation and is penalized to remove less effective intermediate densities to resolve the non-existent solution to the solid void topology problem.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2001-03-16. It has received 1125 citations till now. The article focuses on the topics: Topology optimization & Optimization problem.read more
Citations
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Journal ArticleDOI
Multiscale eigenfrequency optimization of multimaterial lattice structures based on the asymptotic homogenization method
TL;DR: A multiscale topology optimization method was utilized to optimize the fundamental frequency of multimaterial lattice structures in this study, resulting in novel microstructural configurations with remarkably improved vibration resistance.
Journal ArticleDOI
Truncated hierarchical B-spline–based topology optimization
TL;DR: Compared with global refinement, the number of degree of freedoms (DOFs) and design variables are largely decreased for 2D and 3D cases by THB-TO, which demonstrates that the proposed THB -TO is a promising approach to solving 2D & 3D TO problems.
Journal ArticleDOI
Topology optimization of hyperelastic structures with anisotropic fiber reinforcement under large deformations
TL;DR: A general topology optimization framework for the computational optimized design of hyperelastic structures with nonlinear and anisotropic fiber reinforcements under large deformations, which simultaneously optimizes both the material distribution in the matrix phase and the orientations of the underlying fiber reinforcements.
Journal ArticleDOI
Design and analysis adaptivity in multi‐resolution topology optimization
TL;DR: In this paper, the authors proposed an adaptive multiresolution topology optimization (MTO) method, which involves locally increasing/decreasing the polynomial degree of the shape functions and the design resolution.
Journal ArticleDOI
Topology optimization by a time‐dependent diffusion equation
Atsushi Kawamoto,Tadayoshi Matsumori,Tsuyoshi Nomura,Tsuguo Kondoh,Shintaro Yamasaki,Shinji Nishiwaki +5 more
TL;DR: A way to describe, using a Heaviside projection-based representation, a time-dependent diffusion equation that addresses two issues: the treatment of multiple constraints and the extra re-initialization steps that interrupt the time integration from time to time.
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Journal ArticleDOI
Generating optimal topologies in structural design using a homogenization method
Martin P. Bendsøe,Noboru Kikuchi +1 more
TL;DR: In this article, the authors present a methodology for optimal shape design based on homogenization, which is related to modern production techniques and consists of computing the optimal distribution in space of an anisotropic material that is constructed by introducing an infimum of periodically distributed small holes in a given homogeneous, i.i.
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The method of moving asymptotes—a new method for structural optimization
TL;DR: In this article, a new method for non-linear programming in general and structural optimization in particular is presented, in which a strictly convex approximating subproblem is generated and solved.
Journal ArticleDOI
Material interpolation schemes in topology optimization
Martin P. Bendsøe,Ole Sigmund +1 more
TL;DR: In this article, the authors analyze and compare the various approaches to this concept in the light of variational bounds on effective properties of composite materials, and derive simple necessary conditions for the possible realization of grey-scale via composites, leading to a physical interpretation of all feasible designs as well as the optimal design.