Analytical layer element solutions for deformations of transversely isotropic multilayered elastic media under nonaxisymmetric loading

Zhi Yong Ai; Dong Liang Feng; Nai Rui Cang

doi:10.1002/nag.2272

Analytical layer element solutions for deformations of transversely isotropic multilayered elastic media under nonaxisymmetric loading

International Journal for Numerical and Analytical Methods in Geomechanics ◽

10.1002/nag.2272 ◽

2014 ◽

Vol 38 (15) ◽

pp. 1585-1599 ◽

Cited By ~ 10

Author(s):

Zhi Yong Ai ◽

Dong Liang Feng ◽

Nai Rui Cang

Keyword(s):

Transversely Isotropic ◽

Elastic Media ◽

Nonaxisymmetric Loading

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Propagation of Rayleigh waves of sv type in transversely isotropic elastic media

Journal of Mathematical Sciences ◽

10.1007/bf02434003 ◽

1998 ◽

Vol 91 (2) ◽

pp. 2883-2893

Author(s):

Z. A. Yanson

Keyword(s):

Rayleigh Waves ◽

Transversely Isotropic ◽

Elastic Media

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Extended displacement discontinuity Green's functions for three-dimensional transversely isotropic magneto-electro-elastic media and applications

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2006.11.002 ◽

2007 ◽

Vol 31 (6) ◽

pp. 547-558 ◽

Cited By ~ 25

Author(s):

MingHao Zhao ◽

CuiYing Fan ◽

Tong Liu ◽

Feng Yang

Keyword(s):

Green's Functions ◽

Green’S Functions ◽

Three Dimensional ◽

Transversely Isotropic ◽

Displacement Discontinuity ◽

Elastic Media

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Stress Analysis of Multilayered Anisotropic Elastic Media

Journal of Applied Mechanics ◽

10.1115/1.2897197 ◽

1991 ◽

Vol 58 (2) ◽

pp. 382-387 ◽

Cited By ~ 30

Author(s):

Hyung Jip Choi ◽

S. Thangjitham

Keyword(s):

Stress Analysis ◽

Stiffness Matrix ◽

Transversely Isotropic ◽

Solution Procedure ◽

Plane Elasticity ◽

Elastic Media ◽

Surface Traction ◽

Anisotropic Elastic ◽

The Fourier Transform ◽

Infinite Media

The stress analysis of multilayered anisotropic media subjected to applied surface tractions is performed within the framework of linear plane elasticity. The solutions are obtained based on the Fourier transform technique together with the aid of the stiffness matrix approach. A general solution procedure is introduced such that it can be uniformly applied to media with transversely isotropic, orthotropic, and monoclinic layers. As an illustrative example, responses of the semi-infinite media composed of unidirectional and angle-ply layers to a given surface traction are presented.

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