Variational Thermomechanically Coupled Shape Memory Alloy Material Model and Optimization of Shape Memory Alloy Based Out‐of‐Plane Bistable Microactuator.

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Title: Variational Thermomechanically Coupled Shape Memory Alloy Material Model and Optimization of Shape Memory Alloy Based Out‐of‐Plane Bistable Microactuator.
Authors: Babar Shamim, Muhammad1 (AUTHOR), Goldbeck, Hauke1 (AUTHOR) hago@tf.uni-kiel.de, Wulfinghoff, Stephan1 (AUTHOR)
Source: International Journal for Numerical Methods in Engineering. 2/15/2026, Vol. 127 Issue 3, p1-31. 31p.
Subjects: Shape memory alloys, Microactuators, Thermomechanical properties of metals, Conservation of energy, Martensitic transformations, Newton-Raphson method
Abstract: This work presents a fully thermomechanically coupled material model for shape memory alloys (SMAs), capable of predicting shape memory effect, superelasticity, stress and strain recovery, and martensite reorientation. Formulated within the Generalized Standard Material (GSM) framework, the model employs a rate potential, whose variations yield the governing equations, including linear momentum balance, energy balance, and evolution of internal variables. A potential‐based line search method integrated with a Newton–Raphson scheme enhances the robustness and convergence of the solution algorithm. Extending the Sedlák [14] model's energy and dissipation formulations, we apply the proposed framework to an SMA‐based out‐of‐plane bistable microactuator design. The actuator features two antagonistically coupled SMA microbridges and exhibits bistable behavior, snapping between stable states under thermomechanical loading and using constrained recovery forces to perform work. Results demonstrate the model's efficiency and accuracy in capturing the complex thermomechanical response of SMA devices, highlighting its potential for advanced bistable actuator design. [ABSTRACT FROM AUTHOR]
Copyright of International Journal for Numerical Methods in Engineering is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: <searchLink fieldCode="DE" term="%22Shape+memory+alloys%22">Shape memory alloys</searchLink><br /><searchLink fieldCode="DE" term="%22Microactuators%22">Microactuators</searchLink><br /><searchLink fieldCode="DE" term="%22Thermomechanical+properties+of+metals%22">Thermomechanical properties of metals</searchLink><br /><searchLink fieldCode="DE" term="%22Conservation+of+energy%22">Conservation of energy</searchLink><br /><searchLink fieldCode="DE" term="%22Martensitic+transformations%22">Martensitic transformations</searchLink><br /><searchLink fieldCode="DE" term="%22Newton-Raphson+method%22">Newton-Raphson method</searchLink>
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  Data: This work presents a fully thermomechanically coupled material model for shape memory alloys (SMAs), capable of predicting shape memory effect, superelasticity, stress and strain recovery, and martensite reorientation. Formulated within the Generalized Standard Material (GSM) framework, the model employs a rate potential, whose variations yield the governing equations, including linear momentum balance, energy balance, and evolution of internal variables. A potential‐based line search method integrated with a Newton–Raphson scheme enhances the robustness and convergence of the solution algorithm. Extending the Sedlák [14] model's energy and dissipation formulations, we apply the proposed framework to an SMA‐based out‐of‐plane bistable microactuator design. The actuator features two antagonistically coupled SMA microbridges and exhibits bistable behavior, snapping between stable states under thermomechanical loading and using constrained recovery forces to perform work. Results demonstrate the model's efficiency and accuracy in capturing the complex thermomechanical response of SMA devices, highlighting its potential for advanced bistable actuator design. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal for Numerical Methods in Engineering is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1002/nme.70263
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      – Code: eng
        Text: English
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        PageCount: 31
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    Subjects:
      – SubjectFull: Shape memory alloys
        Type: general
      – SubjectFull: Microactuators
        Type: general
      – SubjectFull: Thermomechanical properties of metals
        Type: general
      – SubjectFull: Conservation of energy
        Type: general
      – SubjectFull: Martensitic transformations
        Type: general
      – SubjectFull: Newton-Raphson method
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      – TitleFull: Variational Thermomechanically Coupled Shape Memory Alloy Material Model and Optimization of Shape Memory Alloy Based Out‐of‐Plane Bistable Microactuator.
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            NameFull: Babar Shamim, Muhammad
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            NameFull: Goldbeck, Hauke
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            NameFull: Wulfinghoff, Stephan
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            – D: 15
              M: 02
              Text: 2/15/2026
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              Y: 2026
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              Value: 127
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            – TitleFull: International Journal for Numerical Methods in Engineering
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