Lie symmetry and conservation laws for magneto-static magnetic shape memory alloys system
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Publication:5161039
DOI10.1098/rspa.2020.0168zbMath1472.74037OpenAlexW3047086276WikidataQ99404151 ScholiaQ99404151MaRDI QIDQ5161039
Krishnendu Haldar, Dimitris C. Lagoudas
Publication date: 29 October 2021
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7482205
conservation lawssymmetry breakingmechanicsmathematical physicsLie symmetrymechanical engineeringmagnetic shape memory alloys
Electromagnetic effects in solid mechanics (74F15) Linear constitutive equations for materials with memory (74D05) Technical applications of optics and electromagnetic theory (78A55)
Cites Work
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- Symmetries and nonlocal conservation laws of the general magma equation
- Applications of symmetry methods to partial differential equations
- Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity
- Computational inelasticity
- Single crystal anisotropy and coupled stability analysis for variant reorientation in Magnetic Shape Memory Alloys
- Conservation laws in elasticity. I: General results
- Constitutive modelling of magnetic shape memory alloys with discrete and continuous symmetries
- Comparing symmetries and conservation laws of nonlinear telegraph equations
- Conservation laws in anisotropic elasticity I. Basic framework
- Conservation laws in anisotropic elasticity II. Extension and application to thermoelasticity
- Conservation laws in transversely isotropic linear elastic materials
- Direct Construction of Conservation Laws from Field Equations
- Direct construction method for conservation laws of partial differential equations Part II: General treatment
- Numerical implementation of a shape memory alloy thermomechanical constitutive model using return mapping algorithms
- Conservation laws of linear elasticity in stress formulations
- Non-convex entropies for conservation laws with involutions