Asymptotic Justification of the Models of Thin Inclusions in an Elastic Body in the Antiplane Shear Problem

2021 ◽  
Vol 15 (1) ◽  
pp. 129-140
Author(s):  
E. M. Rudoy ◽  
H. Itou ◽  
N. P. Lazarev
1998 ◽  
Vol 3 (3) ◽  
pp. 319-330
Author(s):  
Peter Schiavone ◽  
Xiaofeng Shen

1997 ◽  
Vol 64 (1) ◽  
pp. 32-38 ◽  
Author(s):  
L. Cui ◽  
A. H-D. Cheng ◽  
Y. Abousleiman

The analytical solution for an infinitely long borehole in an isotropic, poroelastic medium, inclined to the far-field principal stresses, is presented. The solution utilizes a loading decomposition scheme which leads to three fundamental problems: a poroelastic plane-strain, an elastic uni-axial, and an elastic antiplane shear problem.


1986 ◽  
Vol 53 (4) ◽  
pp. 814-818 ◽  
Author(s):  
N. Hasebe ◽  
T. Sugimoto ◽  
T. Nakamura

A semi-infinite elastic body with an arbitrary shape and an infinite one with a hole under uniform longitudinal shear load are investigated. These bodies have a boundary with two fixed parts. The respective complex stress functions are obtained in closed form by using a conformal mapping function. Doubly connected elastic bodies with symmetry can also be treated. Examples of the stress distribution and expressions for the stress intensity factor are shown.


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