Stiffness design of geometrically nonlinear structures using topology optimization

By Thomas Buhl, C. Pedersen, Ole Sigmund. 2000

534 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/3ddaaf9f36bc12898207811fb09c41d0931aae74

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In Civil and Structural Engineering

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models (2009, unknown): “[11] studied the topology optimization problem for maximizing the structural stiffness using a large displacement formulation.”
Conceptual design of reinforced concrete structures using topology optimization with elastoplastic material modeling (2012, background): “When nonlinear response is taken into account, one may define several different objectives that are related to the maximization of the structural stiffness (see for example [29], [18], [8]).”
Systematic design of 3D auxetic lattice materials with programmable Poisson’s ratio for finite strains (2018, background): “The numerical instabilities are induced by excessive deformations in the low stiffness regions appearing in the topology optimization process [33].”
On the modelling and solving of the truss design problem with global stability constraints (2002, background): “The problem of optimal structural design including stability constraints is, however, very difficult, and there are not many references in the literature (see, e.g. Birker 1994; Buhl et al. 2000; Gerdes 1994).”
A simple scheme to prevent checkerboard patterns and one-node connected hinges in topology optimization (2002, background): “This can not be justified (as emphasized in Buhl et al. (2000) , Bruns and Tortorelli (2001)), but the emphasis in this work is on the effects of this method, not on actual design of mechanisms.”
A level set method for shape and topology optimization of large‐displacement compliant mechanisms (2008, methodology): “The large-displacement finite element analysis based on the Green– Lagrange strain measure will experience convergence difficulty mainly caused by the indefiniteness of the tangent stiffness matrix [46, 49].”
Topology optimization of nonlinear structures (2004, background): “Buhl, et al. [ 14 ] studied topology optimization with geometrically nonlinearity and showed the solutions of linear analysis may di2er from those of nonlinear analysis.”