Characteristics of the elastic field of a rigid line inhomogeneity in two-phase isotropic medium

1991 ◽  
Vol 47 (2) ◽  
pp. R23-R28
Author(s):  
He Rui ◽  
Gao Fei
Keyword(s):  
Isotropic Medium ◽  
Elastic Field ◽  
Two Phase ◽  
Rigid Line

Line Force in a Two-Phase Orthotropic Medium

1982 ◽  
Vol 49 (1) ◽  
pp. 55-61 ◽  
Author(s):  
R. S. Wu ◽  
Y. T. Chou
Keyword(s):  
Free Surface ◽  
Elastic Field ◽  
Space Application ◽  
Orthotropic Medium ◽  
Method Of Images ◽  
Two Phase ◽  
Special Cases ◽  
Line Force ◽  
Technological Interest

Based on the generalized method of images, the elastic field of an in-plane line force acting in a two-phase orthotropic medium is analyzed. Several special cases of technological interest are deduced from the general solution, including the case of a line force applied on the free surface of a half space. Application of the results to the determination of the elastic field of an edge dislocation in a semi-infinite orthotropic medium is illustrated.

Antiplane Strain Problems of an Elliptic Inclusion in an Anisotropic Medium

1977 ◽  
Vol 44 (3) ◽  
pp. 437-441 ◽  
Author(s):  
H. C. Yang ◽  
Y. T. Chou
Keyword(s):  
Anisotropic Medium ◽  
Strain Energy ◽  
Elastic Field ◽  
Antiplane Strain ◽  
Elliptic Inclusion ◽  
Rigid Line ◽  
Uniform Stress Field ◽  
Elliptic Cavity ◽  
Stress Magnification ◽  
Elliptic Inhomogeneity

The antiplane strain problem of an elliptic inclusion in an anisotropic medium with one plane of symmetry is solved. Explicit expressions of compact form are obtained for the elastic field inside the inclusion, the stress at the boundary, and the strain energy of the system. The perturbation of an otherwise uniform stress field due to an elliptic inhomogeneity is studied, and explicit solutions are given for the extreme cases of an elliptic cavity and a rigid elliptic inhomogeneity. It is found that both the stress magnification at the edge of the inhomogeneity and the increase of strain energy depend only on the component P23A of the applied stress for an elongated cavity; and depend only on the component E13A of the applied strain for a rigid line inhomogeneity.

20.—Some Results for Two-phase Elastic Planes

1973 ◽  
Vol 71 (3) ◽  
pp. 249-262
Author(s):  
K. Aderogba
Keyword(s):  
Harmonic Function ◽  
Body Force ◽  
Elastic Field ◽  
Elastic Response ◽  
Elastic Displacement ◽  
Infinite Plane ◽  
Two Phase ◽  
All Solutions ◽  
Moving Body ◽  
Circular Inhomogeneity

SynopsisThe first part of this paper is concerned with the elastic response of an isotropie infinite plane containing a central circular inhomogeneity to a deformation such that in the homogeneous infinite plane the associated elastic displacement is the gradient of a harmonic function. Based upon the Papkovich stress-function approach, it is shown that it is possible to represent all solutions to such problems by means of only one family of equations. The second part of the paper is concerned with the elastokinetics of two bonded dissimilar half-planes subjected to any uniformly moving body force. It is again shown that there exist simple relations between components of the elastic field in the composite plane and those of a particular field in the homogeneous infinite plane.

Characteristics of the Elastic Field of a Rigid Line Inhomogeneity

1985 ◽  
Vol 52 (4) ◽  
pp. 818-822 ◽  
Author(s):  
Z. Y. Wang ◽  
H. T. Zhang ◽  
Y. T. Chou
Keyword(s):  
Stress Field ◽  
Elastic Field ◽  
Square Root ◽  
Displacement Fields ◽  
Stress And Displacement Fields ◽  
Rigid Line ◽  
Square Root Singularity ◽  
Inclined Loading ◽  
Explicit Expressions

Explicit expressions are obtained for the stress and displacement fields near the tip of a rigid line inhomogeneity subjected to an inclined loading. It is shown that the tip stress field, with a square-root singularity, differs in characteristics from that of a slit crack. New designations for the mode of deformation based on the fracture concept are presented and the inhomogeneity extension forces are calculated and discussed.

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