Journal article
Design of composite structures with programmable elastic responses under finite deformations
We systematically design composite structures using multi-material topology optimization to achieve tunable elastic responses under finite deformations. We formulate an inverse problem where the errors between the actual (numerical) and the prescribed force-displacement curves are minimized. The framework harnesses multiple hyperelastic materials with distinct constitutive relations, which enlarge the design space of programmable structures compared to the single-material setting.
A stress constraint for multi-material structures is proposed to control the levels of stress and deformation in the optimized composite structures with distinct stress limits. Through several numerical design scenarios, we design multi-material structures that achieve a variety of programmed load-displacement curves, some of which are physically unattainable with single materials.
The optimized structures exhibit unconventional geometries and multi-material distributions and reveal distinct mechanisms, such as converting deformation modes from exure-dominated to stretch-dominated. Multiple designs achieving the same target response are identified, demonstrating the effectiveness of the proposed methodology to explore various composite structures with programmable responses.
Language: | English |
---|---|
Year: | 2021 |
Pages: | 104356 |
ISSN: | 18734782 and 00225096 |
Types: | Journal article |
DOI: | 10.1016/j.jmps.2021.104356 |
ORCIDs: | Wang, Fengwen , Sigmund, Ole and 0000-0003-4878-8637 |
Finite deformation Force-displacement relations Multi-material Programmable structures Stress constraint Topology optimization