Effects of secondary diffractions on the stress intensity factors generated for a finite crack by a shear wave

Stress intensity factors are represented by path independent integrals for linear elastic materials. Two types of representation are given. The first type of integrals are expressed by integration over contours surrounding a crack tip. Those of the second type are integrated over contours enclosing a finite crack. The path independent integrals are applied to determine the stress intensity factors due to a body force and a dislocation for a finite crack in an infinite anisotropic body.

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Stress Intensity Factors for Finite Interface Cracks Between a Special Pair of Transversely Isotropic Materials

Journal of Applied Mechanics ◽

10.1115/1.1459067 ◽

2002 ◽

Vol 69 (3) ◽

pp. 230-239 ◽

Cited By ~ 8

Author(s):

V. Boniface ◽

L. Banks-Sills

Keyword(s):

Finite Element ◽

Stress Intensity ◽

Stress Intensity Factors ◽

Transversely Isotropic ◽

Complex Stress ◽

Intensity Factors ◽

Isotropic Materials ◽

Analytic Expressions ◽

Finite Crack ◽

Transversely Isotropic Materials

An infinite bimaterial system made of two dissimilar, transversely isotropic materials bonded together (with the lower material being mathematically degenerate) and subject to remote loads is considered. An analytical expression for the complex stress intensity factor of a finite crack along the interface between these two materials is obtained. This result is extended to the case of an infinite array of collinear cracks along a similar interface. Next, the finite element method is employed to analyze these geometries for specific material properties. An area M-integral is used to extract stress intensity factors from the finite element results, which compare well with those obtained from the analytic expressions. Different types of loads are considered.

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Stress Intensity Factors for Plate Bending and Shearing Problems

Journal of Applied Mechanics ◽

10.1115/1.2901522 ◽

1994 ◽

Vol 61 (3) ◽

pp. 719-722 ◽

Cited By ~ 12

Author(s):

A. T. Zehnder ◽

Chung-Yuen Hui

Keyword(s):

Stress Intensity ◽

Stress Intensity Factors ◽

Plate Theory ◽

Infinite Plate ◽

Bending Moment ◽

Far Field ◽

Intensity Factors ◽

Arbitrary Angle ◽

Cracked Plate ◽

Finite Crack

Stress intensity factors for a finite crack in an infinite plate are calculated assuming Kirchhoff plate theory. Two problems are considered: a cracked plate subjected to uniform far-field shearing, and a cracked plate subjected to uniform far-field bending moment. In both cases the crack is oriented at an arbitrary angle to the axis of loading.

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Effect of Orthotropy on Singular Stresses for a Finite Crack

Journal of Applied Mechanics ◽

10.1115/1.3423011 ◽

1973 ◽

Vol 40 (2) ◽

pp. 491-497 ◽

Cited By ~ 19

Author(s):

T. Ohyoshi

Keyword(s):

Stress Intensity ◽

Stress Intensity Factors ◽

Stress Distributions ◽

Intensity Factors ◽

Singular Stress ◽

Dynamic Stress Intensity Factors ◽

P Waves ◽

Finite Crack ◽

Symmetric Surface ◽

P And Sv Waves

The diffraction of P and SV-waves by a finite crack located on a symmetric surface of orthotropy is considered. By obtaining the singular stress distributions near the crack tip and dynamic stress-intensity factors, we show the influences of orthotropy on the stress distributions with orthotropic parameters, κα and κβ, and on the stress-intensity factors for P-waves in graph. The solution is presented in the form of integral equation having the kernel of a finite integration which is derived under some restrictions among the elastic constants. The conditions are satisfied for many orthotropic solids.

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Thermal Weight Functions and Stress Intensity Factors for Bonded Dissimilar Media Using Body Analogy

Journal of Applied Mechanics ◽

10.1115/1.4003911 ◽

2011 ◽

Vol 78 (6) ◽

Cited By ~ 3

Author(s):

Ratnesh Khandelwal ◽

J. M. Chandra Kishen

Keyword(s):

Stress Intensity ◽

Stress Intensity Factors ◽

The Other ◽

Weight Functions ◽

Two Dimensional ◽

Intensity Factors ◽

Analogy Method ◽

Elastic Bodies ◽

Crack Problems ◽

Finite Crack

In this study, an analytical method is presented for the computation of thermal weight functions in two dimensional bi-material elastic bodies containing a crack at the interface and subjected to thermal loads using body analogy method. The thermal weight functions are derived for two problems of infinite bonded dissimilar media, one with a semi-infinite crack and the other with a finite crack along the interface. The derived thermal weight functions are shown to reduce to the already known expressions of thermal weight functions available in the literature for the respective homogeneous elastic body. Using these thermal weight functions, the stress intensity factors are computed for the above interface crack problems when subjected to an instantaneous heat source.

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Conservation laws in anisotropic elasticity II. Extension and application to thermoelasticity

Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences ◽

10.1098/rspa.1993.0137 ◽

1993 ◽

Vol 443 (1917) ◽

pp. 153-161 ◽

Cited By ~ 3

Keyword(s):

Stress Intensity ◽

Conservation Laws ◽

Stress Intensity Factors ◽

Thermal Conditions ◽

Anisotropic Elasticity ◽

Integral Representations ◽

Intensity Factors ◽

Closed Form Solutions ◽

Finite Crack ◽

Crack Faces

The conservation laws in anisotropic elasticity developed in an accompanying paper are extended to include steady-state thermal elasticity. The conservation laws proposed in this paper lead to integrals that do not contain area integration and are path-independent. In addition to the extended J - and M -integrals of J. K. Knowels and E. Sternberg, also derived are path-independent contour integrals that yield directly the stress intensity factors when evaluated over contours enclosing a crack. The path-independent integral representations of the stress intensity factors are used to obtain closed form solutions for a finite crack in an unbounded thermoelastic medium subject to arbitrary thermal conditions on the crack faces.

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