Anti-plane inclusion problem in the second gradient electroelasticity theory
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Publication:2335406
DOI10.1016/j.ijengsci.2019.103129zbMath1476.74128OpenAlexW2964559156WikidataQ127399463 ScholiaQ127399463MaRDI QIDQ2335406
Publication date: 14 November 2019
Published in: International Journal of Engineering Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijengsci.2019.103129
size effectsMori-Tanaka schemepiezoelectricityanti-plane problemgeneralized self consistent schemegradient electroelasticity
Electromagnetic effects in solid mechanics (74F15) Homogenization in equilibrium problems of solid mechanics (74Q05)
Related Items (6)
Linear theory of micropolar media with internal nonlocal potential interactions ⋮ Refined analysis of piezoelectric microcantilevers in gradient electroelasticity theory ⋮ Effects of strain gradient and electromagnetic field gradient on potential and field distributions of multiferroic fibrous composites ⋮ On the dispersion relations for the anti-plane surface wave in the second gradient electroelasticity ⋮ On thermomechanics of multilayered beams ⋮ Torsional stability capacity of a nano-composite shell based on a nonlocal strain gradient shell model under a three-dimensional magnetic field
Cites Work
- Unnamed Item
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- Exact solution of Eshelby-Christensen problem in gradient elasticity for composites with spherical inclusions
- The effective medium and the average field approximations vis-à-vis the Hashin-Shtrikman bounds. I: The self-consistent scheme in matrix-based composites
- Solutions for effective shear properties in three phase sphere and cylinder models
- Micromechanics predictions of the effective electroelastic moduli of piezoelectric composites
- On material equations in second-gradient electroelasticity
- Evaluation of the effective elastic and conductive properties of a material containing concave pores
- Revisiting bending theories of elastic gradient beams
- Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity
- Eshelby's inclusion problem in the gradient theory of elasticity: applications to composite materials
- Linear pantographic sheets: existence and uniqueness of weak solutions
- A theory of thermopiezoelectricity with strain gradient and electric field gradient effects
- Effects of electric field and strain gradients on cracks in piezoelectric solids
- Spheroidal inhomogeneity in a transversely isotropic piezoelectric medium
- Variational formulation of a simplified strain gradient elasticity theory and its application to a pressurized thick-walled cylinder problem
- A new homogenization method based on a simplified strain gradient elasticity theory
- On first strain-gradient theories in linear elasticity
- The theory of multipoles in classical electromagnetism
- Electric field gradient effects in anti-plane problems of polarized ceramics
- The theoretical connection between Mori-Tanaka's theory and the Hashin- Shtrikman-Walpole bounds
- Analysis of Composite Materials—A Survey
- Strain gradient solution for Eshelby’s ellipsoidal inclusion problem
- Higher-gradient continua: The legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives
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