On Variational Formulations in Nonlinear Magnetoelastostatics
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Publication:3630026
DOI10.1177/1081286507079832zbMath1175.74033OpenAlexW1974805616MaRDI QIDQ3630026
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Publication date: 2 June 2009
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1081286507079832
Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Electromagnetic effects in solid mechanics (74F15)
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Cites Work
- Unnamed Item
- Unnamed Item
- A program toward rediscovering the rational mechanics of the age of reason
- Equilibrium theory for magnetic elastomers and magnetoelastic membranes
- Magnetoelastic modelling of elastomers
- Mathematical modeling of magneto-sensitive elastomers.
- Nonlinear magnetoelastic deformations of elastomers
- Some problems in nonlinear magnetoelasticity
- On finitely strained magnetorheological elastomers
- Numerical modelling of non-linear electroelasticity
- Nonlinear magnetoelastic deformations
- A Modified Theory of Magnetic Effects in Elastic Materials
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