A refined analysis for the transversely isotropic plate under normal loads with the 3D Green’s function

Hou, Peng; Chen, Jia-Yun

doi:10.1007/s00707-018-2185-4

Cited by 2 publications

(1 citation statement)

References 26 publications

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“…However, due to the complexity of matrixes caused by the increase of the number of layers, it is difficult to derive the results of the inverse integral transformation. The general solution method is a valuable approach to solve partial differential equations to derive the analytical solutions, based on harmonic functions, governing equations and boundary conditions [39–41]. Xu and Mutoh [42] derived the three-dimensional (3D) theoretical solution in the coated system: a normal force loading on the coating face.…”

Section: Introductionmentioning

confidence: 99%

The electro-mechanics of a coating/substrate system under charged spherical contact

Hou

2019

Mathematics and Mechanics of Solids

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A general theory of the piezo-electric contact mechanics for a transversely isotropic piezo-electric elasticity coated system (TIPECS) under charged spherical contact is presented. Three-dimensional exact solutions for the stresses, displacements, electric displacements and electric potential are derived. The contact radius versus the total load relation is obtained to guide the indentation experiments. The relations of coating thickness versus voltage and coating thickness versus voltage are studied. The optimal thickness can be determined with an optimization procedure. The interfacial delamination area of the TIPECS can be predicted with the interfacial failure criterion. The theoretical results are helpful for the prediction of some transient electrical effects, which can be combined with experiments to estimate some elastic constants, dielectric constants and piezo-electric constants in the indentation process.

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Section: Introductionmentioning

confidence: 99%

The electro-mechanics of a coating/substrate system under charged spherical contact

Hou

2019

Mathematics and Mechanics of Solids

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Study on parameter measurement of elastic thin films with substrate effect based on contact mechanics

Zhang

2023

International Journal of Solids and Structures

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A refined analysis for the transversely isotropic plate under normal loads with the 3D Green’s function

Cited by 2 publications

References 26 publications

The electro-mechanics of a coating/substrate system under charged spherical contact

The electro-mechanics of a coating/substrate system under charged spherical contact

Study on parameter measurement of elastic thin films with substrate effect based on contact mechanics

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