Three-dimensional Green's functions of thermoporoelastic axisymmetric cones

Wu, Di; Yang, Lianzhi; Gao, Yang

doi:10.1016/j.apm.2016.10.023

Cited by 5 publications

(2 citation statements)

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“…Considering a semi-infinite HTMP cone with apex angle 2 q 0 (0\2q 0 ł p) acted by a point moisture source Θ and a point heat source < at the vertex (see Figure 1). For non-axisymmetric torsional problems, we assume that the quasi-harmonic functions have the form as follows [38]:…”

Section: D Green's Functions Of Htmp Conesmentioning

confidence: 99%

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Green’s functions of steady-state transversely isotropic hygro-thermo-magneto-piezoelectric cones

Zhang

Fan

Han³

et al. 2022

Mathematics and Mechanics of Solids

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Green’s functions of transversely isotropic hygro-thermo-magneto-piezoelectric (HTMP) cones are established. The governing equations of transversely isotropic HTMP media are first simplified by introducing two displacement functions. Steady-state general solutions of transversely isotropic HTMP media expressed by seven quasi-harmonic functions are obtained by the operator theory, superposition principle, and generalized Almansi’s theorem. Furthermore, the three-dimensional problems of a semi-infinite HTMP cone subjected to a point moisture source and a point heat source are analyzed by introducing the potential functions which are determined by moisture, thermal, electric, magnetic equilibrium relationships and boundary conditions. Furthermore, the fundamental solutions of the HTMP cones under the action of the point sources are obtained. The numerical examples and the contours of the coupled fields of HTMP cones are presented, and the variation regularity of stress, electric displacement, and magnetic induction are discussed. The effects of different apex angles of cones on the coupled fields are also analyzed.

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Section: D Green's Functions Of Htmp Conesmentioning

confidence: 99%

“…For non-axisymmetric torsional problems, we assume that the quasi-harmonic functions have the form as follows [38]:…”

Section: 3d Green’s Functions Of Htmp Conesmentioning

confidence: 99%