Abstract
We present a novel method for computational design of adaptive shape-memory alloy (SMA) structures via topology optimization. By optimally distributing a SMA within the prescribed design domain, the proposed algorithm seeks to tailor the two-way shape-memory effect (TWSME) and pseudoelasticity response of the SMA materials. Using a phenomenological material model, the thermomechanical response of the SMA structure is solved through inelastic finite element analysis, while assuming a transient but spatially uniform temperature distribution. The material distribution is parameterized via a SIMP formulation, with gradient-based optimization used to perform the optimization search. We derive a transient, bilevel adjoint formulation for analytically computing the design sensitivities. We demonstrate the proposed design framework using a series of two-dimensional thermomechanical benchmark problems. These examples include design for optimal displacement due to the TWSME, and design for maximum mechanical advantage while accounting for pseudoelasticity.
Original language | English (US) |
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Pages (from-to) | 2558-2580 |
Number of pages | 23 |
Journal | International Journal for Numerical Methods in Engineering |
Volume | 121 |
Issue number | 11 |
DOIs | |
State | Published - Jun 15 2020 |
Keywords
- computational inelasticity
- pseudoelasticity
- shape-memory alloys
- topology optimization
- transient adjoint sensitivity analysis
- two-way shape-memory effects
ASJC Scopus subject areas
- Numerical Analysis
- Engineering(all)
- Applied Mathematics