Large deformations and stability in topology optimization

By R. Kemmler, A. Lipka, Ekkehard Ramm. 2005

105 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/4557c4239f27d6bd69ac117017339421c9f24395

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Towards the stabilization of the low density elements in topology optimization with large deformation (2013, background): “3 by numerical experiments, where it is shown that for an initial value ofβ = 1 the value of the objective function is lower than for the initial value of β = 2, and it can lead to a local minimum, contradicting the β values that have been used for GNL TOM [25,31].”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “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.”
Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models (2009, unknown): “[13] investigated the influence of the geometrical nonlinearity of the structural behaviour in the topology optimization process.”
Topology optimization of continuum structures under buckling constraints (2015, background): “Geometrically nonlinear models have also been introduced into the optimization of continuum structures against buckling [11-15].”
Buckling strength topology optimization of 2D periodic materials based on linearized bifurcation analysis (2018, background): “Other studies have employed more elaborate stability models which account for large deformations through geometrical non-linearities for both solid structures [41] and composites [42].”
Current and future trends in topology optimization for additive manufacturing (2018, methodology): “Some important applications in this field include maximization of the critical load of a continuum structure with large displacement by Kemmler et al. (2005), consideration of hyperelastic bodies with non-zero prescribed displacement by Klarbring and Strömberg (2013) and topology optimization of…”