Contour integrals for mixed-mode crack analysis: effect of nonsingular terms

Sládek, J.; Sládek, V.; Fedeliński, P.

doi:10.1016/s0167-8442(97)00013-x

Cited by 41 publications

(16 citation statements)

References 13 publications

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“…In conformity with Sládek et al [3], the M integral in local coordinates is expressed by the relation …”

Section: T-stress Assessmentmentioning

confidence: 64%

Two-parameter concept for anisotropic cracked structures

Brož¹

2007

WIT Transactions on Modelling and Simulation, Vol 44

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For two-dimensional anisotropic elasticity the M-integral was evolved, in terms of the boundary element method serving for numerical determination of the T stress which represents a notable parameter for fracture evaluation of cracked solid bodies on top of the stress intensity factor. T-stress issues for the crack face pressure instances are employed as the reference solutions to infer weight functions, e.g. to obtain T-stress results for thick-walled cylinders weakened by an internal edge crack subject to any complicated loading. Some examples are demonstrated.

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“…In conformity with Sládek et al [3], the M integral in local coordinates is expressed by the relation …”

Section: T-stress Assessmentmentioning

confidence: 64%

Two-parameter concept for anisotropic cracked structures

Brož¹

2007

WIT Transactions on Modelling and Simulation, Vol 44

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“…Following the work of Sladek et al 13 for isotropy, and that of Kim and Paulino 28 for orthotropy, the path‐independent mutual M integral to evaluate T stress is extended here to the generally anisotropic case in two dimensions. In the analytical treatment of the anisotropic case, Lekhnitskii's formalism is used.…”

Section: The M Integral For T‐stress Evaluationmentioning

confidence: 99%

“…Several analytical and numerical schemes to evaluate T stress in isotropic materials have been proposed over the years 11–19 . Many of these schemes were developed for use in conjunction with the finite‐element method (FEM) and are based on Eshelby's path‐independent contour integral, 20 or the interaction (domain) integral proposed by Nakamura and Parks 12 .…”

Section: Introductionmentioning

confidence: 99%

“…Many of these schemes were developed for use in conjunction with the finite‐element method (FEM) and are based on Eshelby's path‐independent contour integral, 20 or the interaction (domain) integral proposed by Nakamura and Parks 12 . Following Eshelby's approach, Sladek et al 13 have also developed and implemented a path independent, 'mutual' or M integral to determine T stress in conjunction with the boundary element method (BEM) for which it is more well suited. Using these different numerical methods, Ayatollahi et al 14 and Tan and Wang 15 have also computed T‐stress solutions directly from the crack flank nodal displacements, while Yang and Chandar 16 have used a stress difference method.…”

Section: Introductionmentioning

confidence: 99%

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T‐stress solutions for two‐dimensional crack problems in anisotropic elasticity using the boundary element method

Shah

Tan

Wang

2006

Fatigue Fract Eng Mat Struct

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A B S T R A C TThe importance of a two-parameter approach in the fracture mechanics analysis of many cracked components is increasingly being recognized in engineering industry. In addition to the stress intensity factor, the T stress is the second parameter considered in fracture assessments. In this paper, the path-independent mutual M-integral method to evaluate the T stress is extended to treat plane, generally anisotropic cracked bodies. It is implemented into the boundary element method for two-dimensional elasticity. Examples are presented to demonstrate the veracity of the formulations developed and its applicability. The numerical solutions obtained show that material anisotropy can have a significant effect on the T stress for a given cracked geometry.

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“…Path independent integrals were employed by Olsen [20] and Sladek et al [21], to compute the T-stress for mixed mode loading using the boundary element technique. Seed and Nowell [22], to determine T for mixed modes I and II, represented a crack as a continuous distribution of edge dislocations.…”

Section: Introductionmentioning

confidence: 99%

Numerical Evaluation of T-stress under Mixed Mode Loading Through the Use of Coarse Meshes

et al. 2018

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The present paper investigates the employment of coarse meshes in evaluating the T-stress with the displacement method. Several finite element analyses have been carried out with different mesh refinements and accuracies. Mode I and mixed mode I/II loadings have been considered in finite element analyses. Under mode I loading, single and double edge notched geometries have been considered, while plate with central crack has been considerd for mixed mode loading condition. The analyses are compared with the results by the wellnown stress based approach, and showed that the displacement method permits the evaluation of the T-stress with the employment of coarse meshes. By the way, several precautions must be taken when dealing with coarse and very coarse meshes.Keywords: T-stress, displacement method, coarse mesh, mixed mode loading Êëþ÷åâûå ñëîâà: Ò-íàïðÿaeåíèå, ìåòîä ïåðåìåùåíèé, ãðóáàÿ ñåòêà, íàãðóaeåíèå ñìåøàííîãî òèïà

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Contour integrals for mixed-mode crack analysis: effect of nonsingular terms

Cited by 41 publications

References 13 publications

Two-parameter concept for anisotropic cracked structures

Two-parameter concept for anisotropic cracked structures

T‐stress solutions for two‐dimensional crack problems in anisotropic elasticity using the boundary element method

Numerical Evaluation of T-stress under Mixed Mode Loading Through the Use of Coarse Meshes

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