Numerical analysis of the magnetic shape memory effect based on the absolute nodal coordinate formulation

DOI10.1007/S00707-022-03189-4zbMath1490.74114OpenAlexW4225165327MaRDI QIDQ2141540

Marko K. Matikainen, Aki M. Mikkola, Alexander S. Nemov, Teng-fei Wang

Publication date: 25 May 2022

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-022-03189-4

zbMATH Keywords

large deformationmixed finite element methodsingle crystaltwo-loop iteration procedure

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Crystalline structure (74E15) Finite element methods applied to problems in solid mechanics (74S05) Electromagnetic effects in solid mechanics (74F15)

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Cites Work

• Absolute nodal coordinate formulation of large-deformation piezoelectric laminated plates
• A new SMA shell element based on the corotational formulation
• A constrained theory of magnetoelasticity
• Two new triangular thin plate/shell elements based on the absolute nodal coordinate formulation
• A finite element for soft tissue deformation based on the absolute nodal coordinate formulation
• On the modeling of equilibrium twin interfaces in a single-crystalline magnetic shape memory alloy sample. II: Numerical algorithm
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
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