Computational design of metamaterials with self contact

Dalklint, Anna; Sjövall, Filip; Wallin, Mathias; Watts, Seth; Tortorelli, Daniel

doi:10.1016/j.cma.2023.116424

Title: Computational design of metamaterials with self contact

Journal Article · 13 September 2023 · Computer Methods in Applied Mechanics and Engineering

DOI: https://doi.org/10.1016/j.cma.2023.116424 · OSTI ID:2281472

^[1]; Sjövall, Filip ^[1];

^[1];

^[2]; Tortorelli, Daniel ^[3]

Lund University (Sweden)
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States). Center for Design and Optimization
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States). Center for Design and Optimization; University of Illinois at Urbana-Champaign, IL (United States)

Inverse homogenization in combination with contact modeling, topology optimization and shape optimization is used to design metamaterials with optimized macroscopic response. The homogenization assumes length scale separation which allows the non-linear macroscopic behavior to be obtained by analyzing a single unit cell in a lattice structure. Self contact in the unit cell, which is modeled using a third medium contact method, is leveraged to obtain a complex homogenized response. The inverse homogenization problem is initially formulated as a topology optimization problem, where the macroscopic stress–strain behavior is tuned to our liking. However, it is well known that boundary phenomena are difficult to model in topology optimization and that interface modeling is crucial to accurately analyze contact. For that reason, the boundary representation of the topology optimized design is extracted and used as initial design in a subsequent shape optimization. The behaviors of our designs are verified by performing rigorous post-processing analyzes using conforming meshes and conventional contact formulations.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); Swedish Energy Agency; Swedish Research Council; e-Science Collaboration

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 2281472

Report Number(s):: LLNL--JRNL-846488; 1070889

Journal Information:: Computer Methods in Applied Mechanics and Engineering, Journal Name: Computer Methods in Applied Mechanics and Engineering Journal Issue: A Vol. 417; ISSN 0045-7825

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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42 ENGINEERING
topology optimization
shape optimization
internal contact
third medium contact method
tunable material properties
finite strain

Title: Computational design of metamaterials with self contact

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