On the Influence of Adhesive Stress-Separation Laws on Elastic Stress Singularities

Sinclair, G. B.

doi:10.1007/s10659-014-9493-2

Cited by 8 publications

(5 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Specifically, focusing on layered composite materials, several studies have deeply investigated the role of the elastic mismatch of the components, see [8,6,4] and the references therein given. Mentionable contributions analyzing the singularity of the stress field have been carried out by using asymptotic methodologies for perfectly bonded [9,10,11,12,13] and cohesive interfaces [15]. The effect of the mismatch in the plastic behaviour of two bonded similar elastic materials on crack-tip shielding and amplification for fracture perpendicular to a bi-material interface has also been experimentally analyzed in [14].…”

Section: Introductionmentioning

confidence: 99%

Revisiting the problem of a crack impinging on an interface:A modeling framework for the interaction between the phase field approach for brittle fracture and the interface cohesive zone model

Paggi

Reinoso

2017

Computer Methods in Applied Mechanics and Engineering

202

View full text Add to dashboard Cite

The problem of a crack impinging on an interface has been thoroughly investigated in the last three decades due to its important role in the mechanics and physics of solids. In this investigation, this problem is revisited in view of the recent progresses on the phase field approach to brittle fracture. In this concern, a novel formulation combining the phase field approach for modeling brittle fracture in the bulk and a cohesive zone model for pre-existing adhesive interfaces is herein proposed to investigate the competition between crack penetration and deflection at an interface. The model, implemented within the finite element method framework using a monolithic fully implicit solution strategy, is applied to provide a further insight into the understanding of the role of model parameters on the above competition. In particular, in this study, the role of the fracture toughness ratio between the interface and the adjoining bulks and the characteristic fracturelength scales of the dissipative models are analyzed. In the case of a brittle interface, the asymptotic predictions based on linear elastic fracture mechanics criteria for crack penetration, single deflection or double deflection are fully captured by the present method. Moreover, by increasing the size of the process zone along the interface, or by varying the internal length scale of the phase field model, new complex phenomena are emerging, such as simultaneous crack penetration and deflection and the transition from single crack penetration to deflection and penetration with subsequent branching into the bulk. The obtained computational trends are in very good agreement with previous experimental observations and the theoretical considerations on the competition and interplay between both fracture mechanics models opens new research perspectives for the simulation and understanding of complex fracture patterns.Keywords: Crack penetration or deflection at an interface; Bi-material systems; Phase field approach to fracture; Cohesive interface; Finite element method.

show abstract

Section: Introductionmentioning

confidence: 99%

Revisiting the problem of a crack impinging on an interface:A modeling framework for the interaction between the phase field approach for brittle fracture and the interface cohesive zone model

Paggi

Reinoso

2017

Computer Methods in Applied Mechanics and Engineering

202

View full text Add to dashboard Cite

show abstract

“…Recent reviews of such asymptotic identifications are available . Additional recent asymptotic identifications are also available …”

Section: Discussionmentioning

confidence: 99%

“…Often these additional identifications are for more complex local configurations than those in the references in the cited reviews: sometimes they simply fill in a gap in the literature. For classical elasticity with local configurations comprised of isotropic and piecewise homogeneous, linear elastic materials, all the stress singularities asymptotically identified that have been found to date since 2004 are discussed in the studies . Examples of stress singularities identified since 2004 for anisotropic elastic materials are given in the previous studies ; for functionally graded elastic materials; for finite strain in elastic materials; and for varying size scales …”

Section: Stress Singularity Identification: Asymptotic Analysismentioning

confidence: 94%

“…With this introduction, asymptotic analysis shows that the stresses are free from singularities . This can be confirmed with finite element analysis, which shows converging stresses instead of diverging…”

Section: Stress Singularity Removal: Butt Jointsmentioning

confidence: 99%

“…62 With this introduction, asymptotic analysis shows that the stresses are free from singularities. 62 This can be confirmed with finite element analysis, which shows converging stresses instead of diverging. 120 Some representative results are set out in Table 5 for material pairs with varying moduli mismatches.…”

Section: S T R E S S S I N G U L a R I T Y R E M O V A L : B U T T J mentioning

confidence: 99%

See 2 more Smart Citations

On ensuring structural integrity for configurations with stress singularities: a review

Sinclair

2016

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

At the outset in attempting to ensure structural integrity for configurations with stress singularities, it is important to recognize their presence. In addition to the asymptotic identifications of stress singularities available in the literature, the engineer can use divergence checks in numerical stress analysis to this end. After a review of the current state of the art of asymptotic identifications, this paper outlines some divergence checks that can also be effective in this role. Once singularities are recognized, there are four options open to engineers for attempting to ensure structural integrity: relying solely on experimental testing, drawing on the experience of others for like configurations, employing a fracture mechanics approach and removing singular stresses via improved modelling. This paper focuses on the last of these options. With suitable care, the requisite improved modelling can be realized by the introduction of stress‐separation laws. Resulting stresses then offer the potential of comparing with appropriate strengths to obtain structural integrity.

show abstract

Singular elastic solutions in corners with spring boundary conditions under anti-plane shear

2020

View full text Add to dashboard Cite

On the Influence of Adhesive Stress-Separation Laws on Elastic Stress Singularities

Cited by 8 publications

References 36 publications

Revisiting the problem of a crack impinging on an interface:A modeling framework for the interaction between the phase field approach for brittle fracture and the interface cohesive zone model

Revisiting the problem of a crack impinging on an interface:A modeling framework for the interaction between the phase field approach for brittle fracture and the interface cohesive zone model

On ensuring structural integrity for configurations with stress singularities: a review

Singular elastic solutions in corners with spring boundary conditions under anti-plane shear

Contact Info

Product

Resources

About