Electromechanical instabilities in fiber-constrained, dielectric-elastomer composites subjected to all-around dead-loading

DOI10.1177/1081286514551501zbMath1327.74048OpenAlexW2314878231MaRDI QIDQ3453624

Morteza Hakimi Siboni, Pedro Ponte Castañeda, Reza Avazmohammadi

Publication date: 27 November 2015

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

Full work available at URL: https://doi.org/10.1177/1081286514551501

zbMATH Keywords

bifurcationlocalizationelectroelasticitylimit loaddielectric elastomerloss of ellipticityuniqueness and stability

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Bifurcation and buckling (74G60) Electromagnetic effects in solid mechanics (74F15)

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Cites Work

• Homogenization-based constitutive models for magnetorheological elastomers at finite strain
• Dielectric elastomer composites
• Nonlinear electroelastostatics: incremental equations and stability
• Micromechanics of ferroelectric polymer-based electrostrictive composites
• Microscopic and macroscopic instabilities in finitely strained fiber-reinforced elastomers
• Instabilities in multilayered soft dielectrics
• Stability of anisotropic electroactive polymers with application to layered media
• Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity
• Local and global bifurcation phenomena in plane-strain finite elasticity
• On uniqueness and stability in the theory of finite elastic strain
• Fiber-constrained, dielectric-elastomer composites: finite-strain response and stability analysis
• Onset of macroscopic instabilities in fiber-reinforced elastomers at finite strain
• Nonlinear electroelastostatics: a variational framework
• Acceleration waves in solids
• Bifurcation phenomena in the plane tension test
• The effect of spatial distribution on the effective behavior of composite materials and cracked media
• Nonlinear electroelasticity
• Tangent second-order estimates for the large-strain, macroscopic response of particle-reinforced 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
• Nonlinear electroelastic deformations
• Electrostatic Forces and Stored Energy for Deformable Dielectric Materials
• Electroelastic waves in a finitely deformed electroactive material
• On the Comparison Between Microscopic and Macroscopic Instability Mechanisms in a Class of Fiber-Reinforced Composites
• On the theory of plane strain in finitely deformed compressible materials
• On constitutive macro-variables for heterogeneous solids at finite strain

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