A review of Finite Fracture Mechanics: crack initiation at singular and non-singular stress raisers

Weißgraeber, Philipp; Leguillon, Dominique; Becker, Wilfried

doi:10.1007/s00419-015-1091-7

Cited by 183 publications

(96 citation statements)

References 193 publications

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“…The present work provides a physically sound failure model for crack onset at open-holes applying the coupled criterion originally proposed by Leguillon [1]. This finite fracture mechanics model has been applied successfully to various structural situations [2], in particular to open-hole plates subject to uniaxial tension [3,4]. Using an efficient numerical modeling approach the extension to combined tensile and in-plane bending loading and thus asymmetric cracks patterns is possible.…”

Section: Introductionmentioning

confidence: 99%

Assessment of asymmetric crack initiation in open‐hole plates using a coupled stress and energy criterion

Rosendahl

Weißgraeber

Stein

et al. 2016

Proc Appl Math and Mech

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An application of the finite fracture mechanics concept to open-hole plates subject to combined tensile and bending loading is presented. In finite fracture mechanics, the simultaneous satisfaction of both, a stress and an energy criterion, is enforced as a condition for crack initiation. Efficient modeling and closed-form expressions for the dependence of the stress and energy quantities on governing structural and material parameters allow for a comprehensive numerical analysis of the onset of asymmetric crack patterns. The obtained failure load predictions are found to agree well with a cohesive zone model and experimental data from literature.

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Section: Introductionmentioning

confidence: 99%

Assessment of asymmetric crack initiation in open‐hole plates using a coupled stress and energy criterion

Rosendahl

Weißgraeber

Stein

et al. 2016

Proc Appl Math and Mech

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“…For these joint geometries stress singularities exist at the intersection of the interface with a free surface or at the intersection of two or more interfaces. Following Williams [7] pioneering work on stress singularity near the tip of a crack in a monolithic material, the stress distribution near the interface corner of bi-material joints made from linear elastic materials has been shown to scale as Hr 1 , see for example [8][9][10][11][12][13]. Here r is the radial distance from the interface corner,  is the order of the stress singularity which depends on the local geometry at the interface corner and on the materials combination, and H is the interface corner stress intensity factor (sometimes referred to as the generalised stress intensity factor).…”

Section: Introductionmentioning

confidence: 99%

“…This asymptotic solution is valid when the radial distance r is small in comparison to other characteristic lengths of the geometry. Solutions for  exist in the literature for a wide range of interface corner geometries and material combinations; see for example [8][9][10][11][12][13][14];…”

Section: Introductionmentioning

confidence: 99%

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Fracture initiation in bi-material joints subject to combined tension and shear loading

Akisanya

2017

Journal of Adhesion Science and Technology

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Linear elastic solution of the stress field near an interface corner of bi-material joints is of the form Hr -1 , where r is the radial distance from the corner, H is the stress intensity factor and 1 is the order of the singularity. Finite element analysis is used to determine the magnitude of H for a butt joint subject to remote shear; the obtained solution complements existing solution for remote tension and uniform change in temperature. The theoretical solution of the singular shear stress is shown to be in good agreement with the corresponding finite element solution. The effect of combined remote tension, remote shear and uniform change in temperature on the failure loads and failure mechanisms is experimentally determined for brass/araldite/brass butt joint. It is shown that the failure envelope in tensile stress -shear stress space is elliptical and the failure loads decrease with increasing cure temperature due to thermal residual stress associated with the curing process. The application of the results to the assessment of onset of failure in composite patch repair is discussed.

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“…In the present work, the coupled criterion proposed by Leguillon [1] in the framework of finite fracture mechanics is employed in order to study crack onset at these stress singularities. Its application in order to study crack initiation at stress singularities has been proven to be successful [2].…”

Section: Introductionmentioning

confidence: 99%

A coupled stress and energy failure model for crack initiation in arbitrarily shaped adhesive lap joints

Stein

Weißgraeber

Becker

2016

Proc Appl Math and Mech

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In this work, crack initiation in adhesive lap joints of arbitrary joint configuration is studied by means of a finite fracture mechanics approach. The analysis is based on a general stress solution for adhesive joints combined with a coupled stress and energy criterion. The instantaneous formation of a crack of finite size is predicted if a stress and energy criterion are satisfied simultaneously. The closed-form analytical solution of the stress field allows for an efficient evaluation of the crack initiation load and corresponding finite crack length. A comparison to experimental results from literature and to numerical results obtained with a cohesive zone model approach shows a good agreement.

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A review of Finite Fracture Mechanics: crack initiation at singular and non-singular stress raisers

Cited by 183 publications

References 193 publications

Assessment of asymmetric crack initiation in open‐hole plates using a coupled stress and energy criterion

Assessment of asymmetric crack initiation in open‐hole plates using a coupled stress and energy criterion

Fracture initiation in bi-material joints subject to combined tension and shear loading

A coupled stress and energy failure model for crack initiation in arbitrarily shaped adhesive lap joints

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