TY - JOUR

T1 - Stress analysis for an elastic half space containing an embedded rigid block

AU - Haritos, G. K.

AU - Keer, L. M.

N1 - Funding Information:
Acknowledgements-The authors are grateful for support from the U.S. Air Force (G.K.H.) and from the National Science Foundation, Grant ENG 77-22155 (L.M.K.).

PY - 1980

Y1 - 1980

N2 - The plane elasticity problem of a finite, rigid rectangular block partially embedded in, and perfectly bonded to an elastic half space is investigated. The problem is formulated by the superposition of the solutions to the problems of horizontal and vertical line inclusions beneath an elastic half space. Substitution of these results into the boundary conditions appropriate for the embedded block problem leads to a system of coupled singular integral equations, whose unknowns are the normal and shear stress discontinuities between the bonded surfaces. Two distinct sets of loads are applied to the embedded block, so that it either translates without rotation in the y-direction, or rotates about an axis in the z-direction. Several important physical quantities are computed, e.g. the diffusion of the load from the block into the elastic half space for vertical translation and the rotational stiffness.

AB - The plane elasticity problem of a finite, rigid rectangular block partially embedded in, and perfectly bonded to an elastic half space is investigated. The problem is formulated by the superposition of the solutions to the problems of horizontal and vertical line inclusions beneath an elastic half space. Substitution of these results into the boundary conditions appropriate for the embedded block problem leads to a system of coupled singular integral equations, whose unknowns are the normal and shear stress discontinuities between the bonded surfaces. Two distinct sets of loads are applied to the embedded block, so that it either translates without rotation in the y-direction, or rotates about an axis in the z-direction. Several important physical quantities are computed, e.g. the diffusion of the load from the block into the elastic half space for vertical translation and the rotational stiffness.

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U2 - 10.1016/0020-7683(80)90093-1

DO - 10.1016/0020-7683(80)90093-1

M3 - Article

AN - SCOPUS:0018923917

VL - 16

SP - 19

EP - 40

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

IS - 1

ER -