Journal Article10.1115/1.1380385
Exact Solution for Simply Supported and Multilayered Magneto-Electro-Elastic Plates
TL;DR: In this paper, exact solutions for three-dimensional, anisotropic, linearly magneto-electroelastic, simply-supported, and multilayered rectangular plates under static loadings are derived.
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Abstract: Exact solutions are derived for three-dimensional, anisotropic, linearly magneto-electroelastic, simply-supported, and multilayered rectangular plates under static loadings. While the homogeneous solutions are obtained in terms of a new and simple formalism that resemble the Stroh formalism, solutions for multilayered plates are expressed in terms of the propagator matrix. The present solutions include all the previous solutions, such as piezoelectric, piezomagnetic, purely elastic solutions, as special cases, and can therefore serve as benchmarks to check various thick plate theories and numerical methods used for the modeling of layered composite structures. Typical numerical examples are presented and discussed for layered piezoelectric/piezomagnetic plates under surface and internal loads.
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Citations
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Size-dependent effect on functionally graded multilayered two-dimensional quasicrystal nanoplates under patch/uniform loading
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Three dimensional numerical solution for the bending study of magneto-piezo-elastic spherical and cylindrical shells
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TL;DR: In this paper, an exact solution for the static analysis of magneto-electro-elastic simply supported shallow shells panels is presented, where mechanical equations are derived via equilibrium elasticity relations and electrical and magnetic governing equations are obtained by electrostatic and magnetostatic equilibrium relations.
Conical Indentation Over a Transversely Isotropic and Layered Elastic Half-Space
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Exact solutions for rectangular bidirectional composites and sandwich plates
TL;DR: In this article, three-dimensional elasticity solutions for rectangular laminates with pinned edges are constructed for three dimensional elasticity problems, including a sandwich plate, and compared to the analogous results in classical laminated plate theory.
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Dislocations and Cracks in Anisotropic Elasticity
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Exact solutions for composite laminates in cylindrical bending
TL;DR: In this article, the limitations of classical laminated plate theory are investigated by comparing solutions of several specific boundary value problems in this theory to the corresponding theory of elasticity solutions, and it is shown that conventional plate theory leads to a very poor description of laminate response at low span-to-depth ratios.
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Ce-Wen Nan,Ce-Wen Nan +1 more
TL;DR: A generalized theoretical framework based on a Green's function method and perturbation theory is proposed to treat the coupled magnetoelectric behavior in the composites, and the theoretical estimates are shown to be in agreement with available experimental results.
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