Year: 2026
Type: article
Abstract: We present a code for modelling and topology optimization of hyperelastic structures, including contact modelled by the Third Medium Contact (TMC) approach. By using the so-called -regularization we penalize the skew distortion of the bilinear finite elements discretizing void regions, thus promoting convergence of the nonlinear solver. First, we show how this method is implemented in a compact code, allowing to simulate contact and force transfer in hyperelastic structures. We then solve two topology optimization problems for minimum end-compliance of structures exhibiting contact. In the first example, contact happens at the supported boundary, while the second features self-contact. The scripts that replicate the results are included, and we discuss some possible extensions to more general problems.
Authors: Andreas Henrik Frederiksen, Ole Sigmund, Federico Ferrari
Institution: Technical University of Denmark
Language: English
Subfield: Civil and Structural Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,990
Funder: Villum Fonden
Award: G4798185640
OpenAlex ID: W4416932958
FWCI:
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