scholarly journals Erratum: “Elastic Field of a Partially Debonded Elliptic Inhomogeneity in an Elastic Matrix (Plane-Strain)” (Journal of Applied Mechanics, 1985, 52, pp. 835–840)

1986 ◽  
Vol 53 (3) ◽  
pp. 735-735 ◽  
Author(s):  
B. L. Karihaloo ◽  
K. Viswanathan
Keyword(s):  
Plane Strain ◽  
Elastic Field ◽  
Elastic Matrix ◽  
Applied Mechanics ◽  
Elliptic Inhomogeneity

Elastic Field of a Partially Debonded Elliptic Inhomogeneity in an Elastic Matrix (Plane-Strain)

1985 ◽  
Vol 52 (4) ◽  
pp. 835-840 ◽  
Author(s):  
B. L. Karihaloo ◽  
K. Viswanathan
Keyword(s):  
Stress Intensity ◽  
Stress Field ◽  
Plane Strain ◽  
Elastic Field ◽  
Intensity Factors ◽  
Common Boundary ◽  
Equivalent Inclusion ◽  
General Plane ◽  
Derivatives Of ◽  
Elliptic Inhomogeneity

The problem of the stress-field of an elliptic inhomogeneity that has debonded over an arc of its common boundary with a different elastic material is studied under plane-strain conditions. Eshelby’s method of equivalent inclusion is employed. The “equivalence relation” is solved by a method that is applicable to any general plane-strain situation. Further, the relative displacements of the debonded faces are derived from the discontinuous behavior of individual terms associated with the derivatives of Green’s function. Numerical results are presented for the stress-intensity factors at the tips of the debonded arc and the relative displacements across the debond.

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.

The Problem of Minimizing Stress Concentration at a Rigid Inclusion

1985 ◽  
Vol 52 (1) ◽  
pp. 83-86 ◽  
Author(s):  
L. Wheeler
Keyword(s):  
Stress Concentration ◽  
Variational Problem ◽  
Plane Strain ◽  
Rigid Inclusion ◽  
Elastic Matrix ◽  
Optimum Shape ◽  
Plane Strain Problem ◽  
Elementary Problem ◽  
Conventional Methods

With the objective of minimizing stress concentration, the plane-strain problem of the optimum shape for a rigid inclusion in an elastic matrix of unbounded extent is investigated. It is shown rigorously that the underlying variational problem is reducible to a more elementary problem which can be solved by conventional methods to arrive at the optimum shape, which is a suitably proportioned ellipse.

Elastic Field of an Elliptic Inhomogeneity With Debonding Over an Arc (Antiplane Strain)

1985 ◽  
Vol 52 (1) ◽  
pp. 91-97 ◽  
Author(s):  
B. L. Karihaloo ◽  
K. Viswanathan
Keyword(s):  
Stress Intensity ◽  
Elastic Material ◽  
Stress Intensity Factors ◽  
Elastic Field ◽  
Numerical Results ◽  
Antiplane Strain ◽  
Intensity Factors ◽  
Common Boundary ◽  
Equivalent Inclusion ◽  
Elliptic Inhomogeneity

This paper describes the elastic field of an elliptic inhomogeneity that has debonded over an arc of its common boundary with a different elastic material in which it is embedded. Eshelby’s method of equivalent inclusion with a stress-free eigens train is employed. The solution is facilitated by the properties of Green’s functions. Only the antiplane strain case is treated for illustrating the procedure. Numerical results are presented for the stress intensity factors at the tips of the debonded arc, as well as for the relative displacements across the debond.

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