Journal ArticleDOI
Exact Solutions for Laminated Piezoelectric Plates in Cylindrical Bending
Paul R. Heyliger,Stephen Brooks +1 more
TLDR
In this paper, exact solutions for the problem of piezoelectric laminates in cylindrical bending under an applied surface traction or potential are presented for several representative cases, with resulting displacement, potential, stress, and electric displacement distributions shown to demonstrate the effects of the electroelastic coupling.Abstract:
Exact solutions are presented for the problem of piezoelectric laminates in cylindrical bending under an applied surface traction or potential. An arbitrary number of elastic or piezoelectric layers can be considered in this analysis. Example problems are considered for several representative cases, with resulting displacement, potential, stress, and electric displacement distributions shown to demonstrate the effects of the electroelastic coupling.read more
Citations
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Journal ArticleDOI
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.
Journal ArticleDOI
Free vibration response of two-dimensional magneto-electro-elastic laminated plates
TL;DR: In this article, an approximate solution for the free vibration problem of two-dimensional magneto-electro-elastic laminates is presented to determine their fundamental behavior, which is composed of linear homogeneous elastic, piezoelectric, or magnetostrictive layers with perfect bonding between each interface.
Journal ArticleDOI
Exact Solutions for Simply Supported Laminated Piezoelectric Plates
TL;DR: In this paper, exact solutions for the static behavior of laminated piezoelectric plates with simple support are presented for the components of displacement, stress, electric displacement, and potential through the thickness of the laminate.
Journal ArticleDOI
A BEM analysis of fracture mechanics in 2D anisotropic piezoelectric solids
TL;DR: In this paper, the authors presented a single-domain boundary element method (BEM) analysis of fracture mechanics in 2D anisotropic piezoelectric solids, where the extended displacement (elastic displacement and electrical potential) and extended traction integral equations are collocated on the outside boundary (no-crack boundary) of the problem and on one side of the crack surface.
Journal ArticleDOI
Exact solutions for magneto-electro-elastic laminates in cylindrical bending
Ernian Pan,Paul R. Heyliger +1 more
TL;DR: In this article, the cylindrical bending of multilayered, linear, and anisotropic magneto-electro-elastic plates under simple-supported edge conditions is studied.
References
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Book
Physical properties of crystals
TL;DR: In this paper, the physical properties of crystals systematically in tensor notation are presented, presenting tensor properties in terms of their common mathematical basis and the thermodynamic relations between them.
Journal ArticleDOI
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.
Journal ArticleDOI
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.