1989
DOI: 10.1177/002199838902300503
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Strain Energy Release Rates of an Interfacial Crack Between Two Orthotropic Solids

Abstract: Mode I and Mode II strain energy release rates for a crack lying along the interface of two dissimilar orthotropic elastic solids are investigated analytically and also by the finite element method. It is shown that due to the violent oscillatory crack tip stress behavior, the strain energy release rates for Mode I and Mode II do not converge to definite values. Both GI and GII can be expressed in terms of ½G (G is the total strain energy release rate) plus oscillatory terms. However, the total strain energy r… Show more

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Cited by 62 publications
(21 citation statements)
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“…Because of the oscillating behavior, the mode-separated energy release rates G I and G II are D-dependent; hence, the convergence should be determined. Actually, it has been known in the computational mechanics community [2,12,19,21,26] that G I and G II of bimaterial interface cracks do not converge. Conventional methods to compute the energy release rates use nodal forces ahead of the crack tip and relative displacements behind the crack tip (IrwinÕs argument) with quarter-point singular elements in the framework of the h-FEM.…”
Section: D-dependence Of the Numerical Definitions Of Mode-separated mentioning
confidence: 99%
“…Because of the oscillating behavior, the mode-separated energy release rates G I and G II are D-dependent; hence, the convergence should be determined. Actually, it has been known in the computational mechanics community [2,12,19,21,26] that G I and G II of bimaterial interface cracks do not converge. Conventional methods to compute the energy release rates use nodal forces ahead of the crack tip and relative displacements behind the crack tip (IrwinÕs argument) with quarter-point singular elements in the framework of the h-FEM.…”
Section: D-dependence Of the Numerical Definitions Of Mode-separated mentioning
confidence: 99%
“…By [1], variational methods were used for evaluation of ERR. The ERR approach was later extended by [2].…”
Section: Introductionmentioning
confidence: 99%
“…Chai and Babcock [8] have reported that low-velocity impact-induced delamination has a shape of a peanut or dumbbell and observed that the major axis of the delamination is usually parallel to the direction of fiber of the lower ply in the stacking sequence at the interface. Sun and Manoharan [9] have analyzed an interfacial crack between two orthotropic solids with strain energy release rates (SERRs) as characterizing parameters of crack instability. Quadratic stress-based criterions have already been proposed to predict failure of composite laminates [10].…”
Section: Introductionmentioning
confidence: 99%