2D steady-state general solution and fundamental solution for fluid-saturated, orthotropic, poroelastic materials

Pan, Ling; Hou, Peng; Chen, Jia-Yun

doi:10.1007/s00033-016-0677-4

Cited by 4 publications

(1 citation statement)

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“…Şeremet [23] derived new constructive formulas in thermoelastic Green's functions for a boundary value problem of thermoelasticity in a steady state case and also expressed the constructive formulas in terms of Green's functions for Poisson's equation. Pan et al [24] derived the general solution and fundamental solution for fluid-saturated, orthotropic, poroelastic materials in case of a steady state problem. Chawla et al [25] constructed a general solution and fundamental solution for a two dimensional problem in micropolar thermoelastic material.…”

Section: Introductionmentioning

confidence: 99%

A General Study of Fundamental Solutions in Aniotropicthermoelastic Media with Mass Diffusion and Voids

Chawla¹,

Kamboj²

2020

International Journal of Applied Mechanics and Engineering

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The present paper deals with the study of a fundamental solution in transversely isotropic thermoelastic media with mass diffusion and voids. For this purpose, a two-dimensional general solution in transversely isotropic thermoelastic media with mass diffusion and voids is derived first. On the basis of the obtained general solution, the fundamental solution for a steady point heat source on the surface of a semi-infinite transversely isotropic thermoelastic material with mass diffusion and voids is derived by nine newly introduced harmonic functions. The components of displacement, stress, temperature distribution, mass concentration and voids are expressed in terms of elementary functions and are convenient to use. From the present investigation, some special cases of interest are also deduced and compared with the previous results obtained, which prove the correctness of the present result.

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Section: Introductionmentioning

confidence: 99%