#5657. Structural stability and artificial buckling modes in topology optimization

July 2026publication date
Proposal available till 22-05-2025
4 total number of authors per manuscript0 $

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Journal’s subject area:
Control and Optimization;
Computer Graphics and Computer-Aided Design;
Computer Science Applications;
Control and Systems Engineering;
Software;
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Abstract:
This paper demonstrates how a strain energy transition approach can be used to remove artificial buckling modes that often occur in stability constrained topology optimization problems. To simulate the structural response, a nonlinear large deformation hyperelastic simulation is performed, wherein the fundamental load path is traversed using Newton’s method and the critical buckling load levels are estimated by an eigenvalue analysis. The goal of the optimization is to minimize displacement, subject to constraints on the lowest critical buckling loads and maximum volume. The topology optimization problem is regularized via the Helmholtz PDE-filter and the method of moving asymptotes is used to update the design. The stability and sensitivity analyses are outlined in detail. The effectiveness of the energy transition scheme is demonstrated in numerical examples.
Keywords:
Artificial buckling modes; Eigenvalue problem; Energy transition; Nonlinear elasticity; Stability; Topology optimization

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