A fracture criterion for sharp V-notched samples

Gómez, Fernando Calle; Elices, M.

doi:10.1023/b:frac.0000007374.80996.a2

Cited by 180 publications

(95 citation statements)

References 26 publications

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“…Similarly, Adams & Hills [15] related the critical value of the generalized stress intensity factor to the fracture toughness (critical value of K IC ) using an analytical procedure based on Mellin transforms. The results agreed very well (within 1%) with the finite-element results of Gómez & Elices [13] which, in turn, agreed very well with experiments.…”

Section: Introductionsupporting

confidence: 86%

Adhesion and pull-off force of an elastic indenter from an elastic half-space

Adams

2014

Proc. R. Soc. A.

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The adhesion between an elastic punch and an elastic half-space is investigated for plane and axisymmetric geometries. The pull-off force is determined for a range of material combinations. This configuration is characterized by a generalized stress intensity factor which has an order less than one-half. The critical value of this generalized stress intensity factor is related to the work of adhesion, under tensile loading, by using a cohesive zone model in an asymptotic analysis of the separation near the elastic punch corner. These results are used in conjunction with existing results in the literature for the frictionless contact between an elastic semi-infinite strip and halfspace in both plane and axisymmetric configurations. It is found that the value of the pull-off force includes a dependence on the maximum stress of the cohesive zone model. As expected, this dependence vanishes as the punch becomes rigid in that case the order of the singularity approaches one-half. At the other limit, when the half-space becomes rigid, the stresses become bounded and uniform and the pull-off force depends linearly on the cohesive stress and is independent of the work of adhesion. Thus, the transition from fracture-dominated adhesion to strength-dominated adhesion is demonstrated.

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Section: Introductionsupporting

confidence: 86%

Adhesion and pull-off force of an elastic indenter from an elastic half-space

Adams

2014

Proc. R. Soc. A.

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“…Notch stress intensity factors (NSIFs) proved to correlate the static strength of components made of brittle or quasi-brittle materials and weakened by sharp V-notches [18][19][20][21][22][23], as well as the medium and high-cycle fatigue strength of notched components made of structural materials [24,25]. Concerning welded joints, NSIFs have been used to analyze the fatigue strength both under uniaxial [26][27][28][29][30] and multiaxial cyclic loadings [31].…”

Section: Analytical Background Of the Peak Stress Methodsmentioning

confidence: 99%

Rapid Calculation of Residual Notch Stress Intensity Factors (R- NSIFs) by Means of the Peak Stress Method

Colussi¹,

Ferro²,

Berto³

et al. 2018

Residual Stress Analysis on Welded Joints by Means of Numerical Simulation and Experiments

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The intensity of the residual singular stress distribution can be quantified by the residual notch stress intensity factor (R-NSIF), which might be a useful stress parameter to include in local approaches for fatigue strength assessments of welded joints. In order to calculate the residual stress fields by means of welding process simulations, the mesh adopted in numerical models has necessarily to be very fine. Unfortunately, the nonlinear and transient behavior of the welding simulation makes numerical analyses extremely demanding in terms of computational time, particularly, if large welded structures and/or multipass welds have to be simulated. In this scenario, the use of methods aimed at reducing the computational effort to estimate local stresses and strains in welded structures can be effective. Among these, the peak stress method has been proposed to estimate the notch stress intensity factors (NSIFs) at sharp V-notches, using coarse finite element patterns. In this work, the peak stress method (PSM) has been used to calculate the R-NSIF of a full penetration welded T-joint. It has been shown that the PSM can successfully be used to estimate R-NSIFs values, provided that the stress redistribution induced by plasticity in the zone very close to the notch tip is negligible.

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“…Gómez and Elices [11] report the values of that is dependent on the V-notch angle and that is well known as the strength of stress singularity. The values of with respect to opening angle are tabulated in Table 1.…”

Section: V-notched Platesmentioning

confidence: 99%

Implementation of Virtual Crack Closure Technique for Damaged Composite Plates Using Higher-Order Layerwise Model

Woo

Ahn

2015

Advances in Materials Science and Engineering

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A higher-order layerwise model is proposed to determine stress intensity factors using virtual crack closure technique for singleedge-crack aluminum plates with patch repairs. The present method is based on -convergent approach and adopts the concept of subparametric elements. In assumed displacement fields, strain-displacement relations and three-dimensional constitutive equations of layers are obtained by combination of two-and one-dimensional shape functions. Thus, it allows independent implementation of -refinement for in-plane and transversal displacements. In the proposed elements, the integrals of Legendre polynomials and Gauss-Lobatto technique are employed to interpolate displacement fields and to implement numerical quadrature, respectively. For verification of the present model, not only single-edge-crack plates but also V-notch aluminum plates are first analyzed. For patched aluminum plate with behavior of complexity, the accuracy and simplicity of the present model are shown with comparison of the results with previously published papers using the conventional three-dimensional finite elements based on ℎ-refinement.

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A fracture criterion for sharp V-notched samples

Cited by 180 publications

References 26 publications

Adhesion and pull-off force of an elastic indenter from an elastic half-space

Adhesion and pull-off force of an elastic indenter from an elastic half-space

Rapid Calculation of Residual Notch Stress Intensity Factors (R- NSIFs) by Means of the Peak Stress Method

Implementation of Virtual Crack Closure Technique for Damaged Composite Plates Using Higher-Order Layerwise Model

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