Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics

By G. Rozvany. 2001

592 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/9c556c7ce84e97c65a01ec94c73953c2ad38a8b7

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

A critical review of established methods of structural topology optimization (2009, methodology): “As explained in a review article (Rozvany 2001a), in numerical finite element (FE)-based optimization, we may deal with various types of topologies involving possibly several materials that may be isotropic, anisotropic, and/or porous.”
Large‐scale topology optimization using preconditioned Krylov subspace methods with recycling (2007, methodology): “Topology optimization is a powerful structural optimization method that combines a numerical solution method, usually the finite element method (FEM), with an optimization algorithm to find the optimal material distribution inside a given domain [7, 8, 9, 10, 11, 12].”
Single-loop system reliability-based topology optimization considering statistical dependence between limit-states (2011, methodology): “Topology optimization methods have been successfully applied to a wide range of practical engineering problems (Rozvany 2001; Bendsøe and Sigmund 2003).”
Improving the efficiency of large scale topology optimization through on‐the‐fly reduced order model construction (2015, background): “Over the last two decades topology optimization has undergone a rapid period of growth both in industry and academia spurred by a large number of theoretical, practical and algorithmic developments [1]-[3].”
Phase Field: A Variational Method for Structural Topology Optimization (2004, methodology): “The suppression technique becomes quite popular, especially with the “solid isotropic material with penalization” (SIMP) approach for its conceptual and practical simplicity (Bendsoe (2003); Rozvany (2001); Sigmund (1998)).”
Structural shape and topology optimization in a level-set-based framework of region representation (2004, methodology): “A number of variations of the homogenization method have been investigated to deal with these issues by penalizing intermediate densities, the “solid isotropic material with penalization” (SIMP) approach, in particular, for its conceptual and practical simplicity (Bendsoe 1989; Rozvany and Zhou 1991”
Optimality Conditions of the Hybrid Cellular Automata for Structural Optimization (2007, methodology): “One of the most efficient techniques to achieve this condition is the so-called penalized proportional stiffness model or SIMP model [6].”
Structural Shape and Topology Optimization Using an Implicit Free Boundary Parametrization Method (2006, background): “…as a conceptual design tool has the highest importance in the developing process of all structural optimization methods because of its ability in achieving greatest savings [Rozvany (2001); Bendsøe and Kikuchi (1988); Xie and Steven (1993); Wang, Tai, and Wang (2006); Wang and Wang (2005c)].”