Modeling large deformations of thin-walled SMA structures by shell finite elements
Porenta, Luka (Author), Lavrenčič, Marko (Author), Dujc, Jaka (Author), Brojan, Miha (Author), Tušek, Jaka (Author), Brank, Boštjan (Author)

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Many shape memory alloy (SMA) applications, such as biomedical devices, electromechanical actuators, and elastocaloric cooling devices, are based on thin-walled flat or shell-like structures. An advanced design of such structures requires the development of an efficient and accurate numerical tool for simulations of very thin and curved SMA structures that may experience large deformations and even buckling upon thermo-mechanical loading. So far, finite element models for finite strain deformations of SMA structures have been based on 3D solid formulations, which are relatively inefficient for solving (thin) shell problems. In this paper, we present a finite element model for the analysis of shape memory alloy shells. Our model is based on a 7-parameter, large-rotation, one-director shell formulation, which takes into account a fully three-dimensional form of the constitutive equations for the isothermal transformations of isotropic superelasticity, as well as the shape-memory effect in a simplified way. In fact, we present three 4-node shell finite elements for SMAs. Two of them use the assumed natural strain concepts for the transverse shear strains, through-the-thickness normal strain, and membrane strains. The third element is a combination of the assumed natural strain and the enhanced assumed strain concepts, applied to satisfy the zero through-the-thickness-normal-stress condition for thin geometries to a high degree of accuracy. After a detailed description of the SMA finite element models for shells in the first part of the paper, numerical examples in the second part illustrate the approach. Compared to 3D solid SMA formulations, our results show excellent accuracy, even with a significantly reduced number of degrees of freedom, which consequently translates into a reduction in the computational time.

Keywords:smart memory alloys, superlasticity, large strains, thin-walled structures, finite strains, seven-parameter shell model
Work type:Article (dk_c)
Tipology:1.01 - Original Scientific Article
Organization:FS - Faculty of Mechanical Engineering
Submitted for review:16.02.2021
Article acceptance date:17.05.2021
Article publication date:01.10.2021
Number of pages:Str. 1-38
Numbering:Vol. 101, art. 105897
ISSN on article:1007-5704
DOI:10.1016/j.cnsns.2021.105897 This link opens in a new window
COBISS.SI-ID:64322307 This link opens in a new window
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Record is a part of a journal

Title:Communications in Nonlinear Science and Numerical Simulation
COBISS.SI-ID:1454101 This link opens in a new window

Document is financed by a project

Funder:EC - European Commission
Funding Programme:H2020
Project no.:803669
Name:Superelastic Porous Structures for Efficient Elastocaloric Cooling

Funder:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije (ARRS)
Project no.:J2-1722
Name:Numerično modeliranje širjenja razpok v krhkih in duktilnih konstrukcijah

Funder:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije (ARRS)
Project no.:J2-2490
Name:Podatkovno podprto modeliranje obnašanja gradbenih konstrukcij


License:CC BY 4.0, Creative Commons Attribution 4.0 International
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:28.05.2021

Secondary language

Keywords:zlitine z oblikovnim spominom, superelastičnost, velike specifične deformacije

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