Homogenization of an elastodynamic system with a strong magnetic field and soft inclusions inducing a viscoelastic effective behavior
DOI10.1016/j.jmaa.2020.124472zbMath1447.74040arXiv1910.01328OpenAlexW3047985955MaRDI QIDQ2199305
Publication date: 16 September 2020
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.01328
Inhomogeneity in solid mechanics (74E05) Electromagnetic effects in solid mechanics (74F15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)
Cites Work
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- Mathematical methods in electro-magneto-elasticity
- Non-homogeneous media and vibration theory
- On gaps in the spectrum of the operator of elasticity theory on a high contrast periodic structure
- Multiscale Modeling of Elastic Waves: Theoretical Justification and Numerical Simulation of Band Gaps
- MEMORY EFFECT IN HOMOGENIZATION OF A VISCOELASTIC KELVIN–VOIGT MODEL WITH TIME-DEPENDENT COEFFICIENTS
- Homogenization and Two-Scale Convergence
- Oscillations and Energy Densities in the Wave Equation
- On the convergence of solutions of hyperbolic equations
- A General Convergence Result for a Functional Related to the Theory of Homogenization
- Two-scale homogenization for a general class of high contrast PDE systems with periodic coefficients
- Homogenization and correctors for the wave equation with periodic coefficients
- On modifications of Newton's second law and linear continuum elastodynamics
