Topology Optimization of Shape Memory Alloy Actuators using Element Connectivity Parameterization

Matthijs Langelaar, Gil Ho Yoon, Yoon Young Kim, Fred van Keulen

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

This paper presents the first application of topology optimization to the design of shape memory alloy actuators. Shape memory alloys (SMA’s) exhibit strongly nonlinear, temperature-dependent material behavior. The complexity in the constitutive behavior makes the topology design of SMA structures intractable by the conventional element density-based topology optimization. Therefore, in the present study, the recently developed element connectivity parameterization (ECP) formulation is applied, which offers important advantages for complex nonlinear topology optimization problems. A history-independent constitutive model of SMA’s is employed which allows efficient adjoint sensitivity analysis. The effectiveness of the proposed technique is illustrated by several numerical examples.In terms of computation time, the I-ECP method, a newly-developed version of ECP, is much more efficient because the degrees of freedom of the element-connectivity parameterizing links are eliminated in element level before the total system matrix is assembled. In terms of implementation, however, the E-ECP is easier to use because the sensitivity analysis in E-ECP does not require the explicit expression of the (tangent) stiffness matrix of continuum finite elements. Therefore, any finite element code, including commercial codes, can be readily used for the ECP implementation. The key ideas and characteristics of these methods will be presented in this paper.
Original languageEnglish
Title of host publication6th World Congress on Structural and Multidisciplinary Optimization
Number of pages10
VolumeCD-ROM
Publication date2005
ISBN (Print)85-28-50070-5
Publication statusPublished - 2005
Event6th World Congress on Structural and Multidisciplinary Optimization - Rio de Janeiro, Brazil
Duration: 30 May 20053 Jun 2005
Conference number: 3

Conference

Conference6th World Congress on Structural and Multidisciplinary Optimization
Number3
Country/TerritoryBrazil
CityRio de Janeiro
Period30/05/200503/06/2005

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