Topology optimization of structures with geometrical nonlinearities

By Hae Chang Gea, J. Luo. 2001

138 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/61e70315b83d4d747511fc20ddfda4d45ba798cb

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Topological Synthesis of Compliant Mechanisms Using Nonlinear Beam Elements (2004, methodology): “Luo and Gea (2000) extended technique to more complicated problems.”
Topology optimization of nonlinear structures under displacement loading (2008, methodology): “Using the sensitivity/gradient based optimization methods, a number of papers have considered topology optimization of geometrically nonlinear structures [5–8].”
Large deformations and stability in topology optimization (2005, unknown): “Jog (1996), Gea and Luo (2001) , Cho and Jung (2003),”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, background): “Gea and Luo (2001) investigated geometric nonlinearity for minimum compliance in 2D structures while Kemmler et al. (2005) did so with consideration of buckling stability.”
Towards the stabilization of the low density elements in topology optimization with large deformation (2013, background): “In the literature related to GNL TOM [11,13,14,16,20,23,24,39,43], however, distinction is not made about what 2D hypothesis is being used, and whether they influence or not the optimal pseudo-densities topology and the objective function values.”
Topology optimization of nonlinear structures (2004, result): “[16] also found similar results from their studies.”
CONTINUUM TOPOLOGY OPTIMIZATION OF BUCKLING-SENSITIVE STRUCTURES (2002, result): “compression members. These results agree with those of [5] and [ 7 ].”
Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models (2009, unknown): “Gea and Luo [12] compared the optimal solutions obtained by linear design and nonlinear design, and showed that the linear finite element analysis may lead to ‘‘phony optimal designs”.”