Stresses in an orthotropic strip containing A Griffith Crack

Satapathy, Pratyashi; Parhi, H.

doi:10.1016/0020-7225(78)90088-5

Cited by 33 publications

(10 citation statements)

References 5 publications

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“…) denotes the Gamma function and ~( Hence, ~(tl) has the following form: The kernel of (33) is the same as that obtained by [9]. (1) is obtained.…”

Section: And (26) To a Fredholm Integral Equation Of The Second Kindmentioning

confidence: 78%

“…In terms of ¢i (i = 1,2) the stresses can be expressed as: 1,2), are governed by the (9) (lO) (11) (12)…”

Section: Basic Equationsmentioning

confidence: 99%

“…They assumed that the edges of the crack are normal to the faces of the strip. The stresses and displacement field in an orthotropic strip was considered by Satapathy and Parhi [9] when the edges of the strip are constrained. The problem discussed here can be solved by complex potential methods as discussed by Muskhelishvili [10] for generalized plane elasticity problems.…”

Section: Introductionmentioning

confidence: 99%

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Plastic zones in an orthotropic plate of finite width containing a Griffith crack

1996

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The problem of an orthotropic infinite plate of finite width containing a centrally located stressed Griffith crack is considered. The crack is located perpendicular to the edges of the orthotropic plate. The crack tips are fully yielded and in the inelastic zones the material carries only constant normal stresses equal to the yield stress. Dugdale's model is employed to find the effects of the material anisotropy on the size of the plastic zones around the crack tips. Graphical results showing the effects of anisotropy on the length of the plastic zone are also presented.

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“…) denotes the Gamma function and ~( Hence, ~(tl) has the following form: The kernel of (33) is the same as that obtained by [9]. (1) is obtained.…”

Section: And (26) To a Fredholm Integral Equation Of The Second Kindmentioning

confidence: 78%

“…In terms of ¢i (i = 1,2) the stresses can be expressed as: 1,2), are governed by the (9) (lO) (11) (12)…”

Section: Basic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Plastic zones in an orthotropic plate of finite width containing a Griffith crack

1996

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“…A recent paper by Yum and Hong [15] uses the same method for the mixed mode fracture problem, where an inclined crack parallel to the fiber direction is considered. Satapathy and Parhi [17] determined stress and displacement fields for the case of a crack situated symmetrically and oriented normal to the edges of an orthotropic elastic strip by using a reduction to Fredholm integral equations. A similar study is provided by Gyekenyesi and Mendelson [16] for a rectangular orthotropic center-cracked plate.…”

Section: Reviewmentioning

confidence: 99%

Edge function analysis of stress intensity factors in cracked anisotropic plates

Dwyer

Pan

1995

Int J Fract

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The edge function method, which involves the use of analytic solutions to model field behavior in the various parts of an elastic region, is applied to the analysis of a finite anisotropic plate with a single crack. Analytical solutions for the stress singularities at each crack tip facilitate the inexpensive calculation of accurate values of the stress intensity factors. A boundary Galerkin variational principle is used to match the boundary conditions. The method is applicable to isotropic and anisotropic materials and is demonstrated for a number of fracture problems involving variation of the crack position, crack orientation and material orientation. For the range of geometries examined in this paper, the calculated values of the stress intensity factors do not show a major dependence on the material anisotropy. The formulation of the method makes it easily applicable to the study of the interaction of several cracks and also to a limited study of crack propagation or damage development in a composite laminate.

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“…Problems with Griffith cracks in orthotropic elastic materials were considered by Erdogan et al [7], Dhaliwal [6], Satpathy and Parhi [18], Piva and Viola [13], Cinar and Erdogan [3], Lowengrub and Srivastava [11], De and Patra [5], Kassir and Tse [9], and others. Analytical studies of crack interaction problems can be found in Sneddon and Lowengrub [19], Rose [14], Lam et al [10], Brencich and Carpinteri [1], Chudnovsky and Kachanov [2], Rubinstein [16], Horii and Nasser [8], and so forth.…”

Section: Introductionmentioning

confidence: 99%

Interaction between line cracks in an orthotropic layer

Das¹

2000

International Journal of Mathematics and Mathematical Sciences

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We deal with the interaction between three coplanar Griffith cracks located symmetrically in the mid plane of an orthotropic layer of finite thickness 2h. The Fourier transform technique is used to reduce the elastostatic problem to the solution of a set of integral equations which have been solved by using the finite Hilbert transform technique and Cooke's result. The analytical expressions for the stress intensity factors at the crack tips are obtained for large h. Numerical values of the interaction effect have been computed for and results show that interaction effects are either shielding or amplification depending on the location of each crack with respect to each other and crack tip spacing as well as the thickness of the layer.

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Stresses in an orthotropic strip containing A Griffith Crack

Cited by 33 publications

References 5 publications

Plastic zones in an orthotropic plate of finite width containing a Griffith crack

Plastic zones in an orthotropic plate of finite width containing a Griffith crack

Edge function analysis of stress intensity factors in cracked anisotropic plates

Interaction between line cracks in an orthotropic layer

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