Homogenization-based constitutive models for magnetorheological elastomers at finite strain
From MaRDI portal
Publication:361295
DOI10.1016/j.jmps.2010.11.004zbMath1270.74075OpenAlexW2027119152MaRDI QIDQ361295
E. Galipeau, Pedro Ponte Castañeda
Publication date: 29 August 2013
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0022509610002383
Nonlinear elasticity (74B20) Electromagnetic effects in solid mechanics (74F15) Homogenization in equilibrium problems of solid mechanics (74Q05)
Related Items
Modified SFEM for computational homogenization of heterogeneous materials with microstructural geometric uncertainties ⋮ Multiplicative magneto-elasticity of magnetosensitive polymers incorporating micromechanically-based network kernels ⋮ Homogenization in micro-magneto-mechanics ⋮ Surface magnetoelasticity theory ⋮ Analytic and numeric solution of a magneto-mechanical inclusion problem ⋮ Electromechanical instabilities in fiber-constrained, dielectric-elastomer composites subjected to all-around dead-loading ⋮ Мезоскопические модели для определения упругих характеристик мягких магнитных эластомеров ⋮ Magnetic force and torque on particles subject to a magnetic field ⋮ A principal axis formulation for nonlinear magnetoelastic deformations: isotropic bodies ⋮ Acceleration of the spectral stochastic FEM using POD and element based discrete empirical approximation for a micromechanical model of heterogeneous materials with random geometry ⋮ XFEM modeling and homogenization of magnetoactive composites ⋮ On periodic boundary conditions and ergodicity in computational homogenization of heterogeneous materials with random microstructure ⋮ A computational framework for magnetically hard and soft viscoelastic magnetorheological elastomers ⋮ Homogenization and multiscale stability analysis in finite magneto-electro-elasticity. Application to soft matter EE, ME and MEE composites ⋮ Curing spurious magneto‐mechanical coupling in soft non‐magnetic materials ⋮ A multiscale approach to the computational characterization of magnetorheological elastomers ⋮ Variational modeling and homogenization in dissipative magneto‐mechanics ⋮ Homogenization and multiscale stability analysis in finite magneto‐electro‐elasticity ⋮ Neural network-based multiscale modeling of finite strain magneto-elasticity with relaxed convexity criteria ⋮ On stochastic FEM based computational homogenization of magneto-active heterogeneous materials with random microstructure ⋮ Soft elastic composites: microstructure evolution, instabilities and relaxed response by domain formation ⋮ Smart electro-magneto-viscoelastomer minimum energy structures with particle-reinforcements: theoretical equilibrium and nonlinear dynamics of actuated configurations ⋮ Fiber-constrained, dielectric-elastomer composites: finite-strain response and stability analysis ⋮ Instability of a magnetoelastic layer resting on a non-magnetic substrate ⋮ Finite deformations and incremental axisymmetric motions of a magnetoelastic tube ⋮ Dynamic viscoelastic modeling of magnetorheological elastomers ⋮ Finite-Strain Homogenization Models for Anisotropic Dielectric Elastomer Composites ⋮ Computational stability analysis of periodic electroactive polymer composites across scales ⋮ Analytical estimation of non-local deformation-mediated magneto-electric coupling in soft composites ⋮ Constitutive modeling of magneto-viscoelastic polymers, demagnetization correction, and field-induced Poynting effect ⋮ Two reduction methods for stochastic FEM based homogenization using global basis functions ⋮ Variational principles of nonlinear magnetoelastostatics and their correspondences ⋮ Unified magnetomechanical homogenization framework with application to magnetorheological elastomers ⋮ Stochastic local FEM for computational homogenization of heterogeneous materials exhibiting large plastic deformations ⋮ Macroscopic response of particle-reinforced elastomers subjected to prescribed torques or rotations on the particles
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Microscopic and macroscopic instabilities in finitely strained fiber-reinforced elastomers
- Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity
- A nonlinear field theory of deformable dielectrics
- The effective mechanical properties of nonlinear isotropic composites
- Nonlinear electro- and magneto-elastostatics: material and spatial settings
- Microscopic and macroscopic instabilities in finitely strained porous elastomers
- Homogenization of nonconvex integral functionals and cellular elastic materials
- Convexity conditions and existence theorems in nonlinear elasticity
- Periodic solutions and homogenization of non linear variational problems
- Overall potentials and extremal surfaces of power law or ideally plastic composites
- The elasticity tensor of a residually stressed material
- Energy minimizers for large ferromagnetic bodies
- Constitutive models for porous materials with evolving microstructure
- The effect of spatial distribution on the effective behavior of composite materials and cracked media
- Mathematical modeling of magneto-sensitive elastomers.
- Exact second-order estimates for the effective mechanical properties of nonlinear composite materials.
- A general constitutive theory for linear and nonlinear particulate media with microstructure evolution
- A constrained theory of magnetoelasticity
- Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory
- A second-order homogenization method in finite elasticity and applications to black-filled elastomers
- On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations. I: Theory
- On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations. II: Application to cylindrical fibers
- Magnetostrictive composites in the dilute limit
- Magneto-elastic modeling of composites containing chain-structured magnetostrictive particles
- On finitely strained magnetorheological elastomers
- The determination of the elastic field of an ellipsoidal inclusion, and related problems
- On Variational Formulations in Nonlinear Magnetoelastostatics
- On the Comparison Between Microscopic and Macroscopic Instability Mechanisms in a Class of Fiber-Reinforced Composites
- Variational Principles for Inhomogeneous Non-linear Media
- Variational second-order estimates for nonlinear composites
- The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites. I. Theory
- Nonlinear magnetoelastic deformations
- Bounds and estimates for the properties of nonlinear heterogeneous systems
- Coupled Magnetomechanical Equations for Magnetically Saturated Insulators
- Variational linear comparison bounds for nonlinear composites with anisotropic phases. I. General results
- On constitutive macro-variables for heterogeneous solids at finite strain
- On the magneto-elastic properties of elastomer-ferromagnet composites