Homogenization and multiscale stability analysis in finite magneto‐electro‐elasticity
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Publication:6078530
DOI10.1002/gamm.201510017zbMath1525.74173OpenAlexW2163312040MaRDI QIDQ6078530
Christian Miehe, S. Teichtmeister, D. Vallicotti
Publication date: 24 October 2023
Published in: GAMM-Mitteilungen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/gamm.201510017
homogenizationelectroactive polymersmagnetorheological elastomersmultiscale stabilitymagneto-electric effectmagneto-electro-elastic composites
Electromagnetic effects in solid mechanics (74F15) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Homogenization-based constitutive models for magnetorheological elastomers at finite strain
- Dielectric elastomer composites
- Microscopic and macroscopic instabilities in finitely strained fiber-reinforced elastomers
- Instabilities in multilayered soft dielectrics
- A rate-dependent incremental variational formulation of ferroelectricity
- Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity
- Mechanics of deformation-triggered pattern transformations and superelastic behavior in periodic elastomeric structures
- On uniqueness and stability in the theory of finite elastic strain
- Fiber-constrained, dielectric-elastomer composites: finite-strain response and stability analysis
- Multi-scale computational homogenization: trends and challenges
- Nonlinear electroelastostatics: a variational framework
- 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
- Computational micro-to-macro transitions for discretized micro-structures of heterogeneous materials at finite strains based on the minimization of averaged incremental energy.
- \(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials
- A constrained theory of magnetoelasticity
- Two-scale computational homogenization of electro-elasticity at finite strains
- Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals.
- Computational micro-to-macro transitions of discretized microstructures undergoing small strains
- Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction.
- Two-scale homogenization of electromechanically coupled boundary value problems
- Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials
- Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling
- Computational homogenization in dissipative electro-mechanics of functional materials
- Mixed variational principles in nonlinear electroelasticity
- On finitely strained magnetorheological elastomers
- Quasi-convexity and the lower semicontinuity of multiple integrals
- Multiscale instabilities in soft heterogeneous dielectric elastomers
- Unified magnetomechanical homogenization framework with application to magnetorheological elastomers
- Variational principles in dissipative electro-magneto-mechanics: A framework for the macro-modeling of functional materials
- Computational structural and material stability analysis in finite electro-elasto-statics of electro-active materials
- On Variational Formulations in Nonlinear Magnetoelastostatics
- On the Comparison Between Microscopic and Macroscopic Instability Mechanisms in a Class of Fiber-Reinforced Composites
- A new finite-element formulation for electromechanical boundary value problems
- Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation
- On a vector potential formulation for 3D electromechanical finite element analysis
- Direct methods in the calculus of variations
- An approach to micro-macro modeling of heterogeneous materials
- A class of general algorithms for multi-scale analyses of heterogeneous media
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