A mixed boundary value problem of a transversely-isotropic half-space under torsion by a flat annular rigid stamp

1981 ◽  
Vol 41 (3-4) ◽  
pp. 289-297 ◽  
Author(s):  
G. K. Dhawan
Keyword(s):  
Boundary Value Problem ◽  
Half Space ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Transversely Isotropic ◽  
Mixed Boundary Value Problem ◽  
Rigid Stamp

scholarly journals An Asymmetric Mixed Boundary Value Problem of the Elastic Half-Space Subjected to Moment by an Annular Rigid Punch

1978 ◽  
Vol 21 (154) ◽  
pp. 566-571 ◽  
Author(s):  
Toshiaki HARA ◽  
Toshikazu SHIBUYA ◽  
Takashi KOIZUMI ◽  
Ichiro NAKAHARA
Keyword(s):  
Boundary Value Problem ◽  
Half Space ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Elastic Half Space ◽  
Rigid Punch ◽  
Mixed Boundary Value Problem

Rocking forced displacement of a rigid disc embedded in a functionally graded transversely isotropic half-space

2020 ◽  
pp. 108128652097935
Author(s):  
Maziar Kalantari ◽  
Naser Khaji ◽  
Morteza Eskandari-Ghadi
Keyword(s):  
Boundary Value Problem ◽  
Integral Equations ◽  
Half Space ◽  
Soil Structure ◽  
Mixed Boundary ◽  
Transversely Isotropic ◽  
Integral Transforms ◽  
Soil Structure Interaction ◽  
Mixed Boundary Value Problem ◽  
Structure Interaction

Recent studies have confirmed that rockable structures have beneficial effects in earthquakes due to uniform dynamic behavior of the structure. For these kinds of structures, an equivalent static analysis is accurate enough, as the rocking motion is the dominant mode of their interaction with the surrounding soil (i.e. soil–structure interaction problem). In this study, the soil–structure interaction problems are extended to consider the effect of elastic non-homogeneities as well as changing the elasticity constants with depth in an exponential manner for the rocking loads. This paper analytically investigates the mixed boundary value problem regarding the forced rocking interaction of a rigid foundation embedded in a finite depth of an exponentially graded transversely isotropic half-space. The potential function method accompanied by Hankel integral transforms is applied to solve the system of the equations of motion of the media. Due to integral transforms used in the solving procedure, the mixed boundary value problem raised may be apt to be transformed to dual integral equations, which in turn, could be reduced to Fredholm integral equation of the second kind. To evaluate the solution of the integral equations, a robust numerical procedure has been developed for different anisotropic materials. Regarding the complicated integrand functions, the integrals are numerically and graphically presented to cover the effect of degree of change of material properties that plays a key role.

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