Nonlinear magnetoelastostatics: Energy functionals and their second variations

DOI10.1177/1081286512448347OpenAlexW2135608060MaRDI QIDQ5137420

R. Bustamante, Ray W. Ogden

Publication date: 2 December 2020

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286512448347

zbMATH Keywords

second variationvariational formulationsenergy functionmagnetoelasticityfree space

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Related Items (2)

Modelling of iron-filled magneto-active polymers with a dispersed chain-like microstructure ⋮ Variational principles of nonlinear magnetoelastostatics and their correspondences

Cites Work

• Quasiconvexity at the boundary, positivity of the second variation and elastic stability
• Equilibrium theory for magnetic elastomers and magnetoelastic membranes
• Field matter interactions in thermoelastic solids. A unification of existing theories of electro-magneto-mechanical interactions
• A nonlinear magnetoelastic tube under extension and inflation in an axial magnetic field: numerical solution
• Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity
• Some problems in nonlinear magnetoelasticity
• On finitely strained magnetorheological elastomers
• Numerical modelling of non-linear electroelasticity
• On Variational Formulations in Nonlinear Magnetoelastostatics
• Nonlinear magnetoelastic deformations
• On the spatial and material motion problems in nonlinear electro-elastostatics with consideration of free space
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