Characteristics of the process zone at sharp notch roots

Hills, D.A.; Dini, Daniele

doi:10.1016/j.ijsolstr.2011.03.023

Cited by 45 publications

(40 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The applicability of this mode I analysis to mixed-mode loading has also been explored. It is shown to be applicable if the mode I critical crack length is much less than a parameter d 0 defined by Hills and Dini (2011). …”

Section: Discussionmentioning

confidence: 99%

“…Recently Hills and Dini (2011) have investigated the asymptotic stress field in mixed-mode loading close to a notch tip. In particular a length scale (d 0 ) was defined by…”

Section: Mixed-mode Loadingmentioning

confidence: 99%

“…The link between the radius of this volume and the dimension of the cohesive zone model became evident. The singular state of stress near the tip of a notch has also been investigated by Hills and Dini (2011) for mixed-mode loading. They observed that because the order of the mode I singularity was greater than that of the mode II, then as the notch tip is approached mode I will eventually dominate the purely elastic solution.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Analytical representation of the non-square-root singular stress field at a finite angle sharp notch

Adams

Hills

2014

International Journal of Solids and Structures

View full text Add to dashboard Cite

a b s t r a c tThe stress field near the tip of a finite angle sharp notch is singular. However, unlike a crack, the order of the singularity at the notch tip is less than one-half. Under tensile loading, such a singularity is characterized by a generalized stress intensity factor which is analogous to the mode I stress intensity factor used in fracture mechanics, but which has order less than one-half. By using a cohesive zone model for a notional crack emanating from the notch tip, we relate the critical value of the generalized stress intensity factor to the fracture toughness. The results show that this relation depends not only on the notch angle, but also on the maximum stress of the cohesive zone model. As expected the dependence on that maximum stress vanishes as the notch angle approaches zero. The results of this analysis compare very well with a numerical (finite element) analysis in the literature. For mixed-mode loading the limits of applicability of using a mode I failure criterion are explored.

show abstract

Section: Discussionmentioning

confidence: 99%

“…Recently Hills and Dini (2011) have investigated the asymptotic stress field in mixed-mode loading close to a notch tip. In particular a length scale (d 0 ) was defined by…”

Section: Mixed-mode Loadingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analytical representation of the non-square-root singular stress field at a finite angle sharp notch

Adams

Hills

2014

International Journal of Solids and Structures

View full text Add to dashboard Cite

show abstract

“…We can normalize the length and stress field of the system with the scales defined based on the solution of an infinite large wedge [51,52] to make the results general. In such a case the detailed loading and geometry of the model are not important; what matters are the stress-intensity factors.…”

Section: Scaling Of the Systemmentioning

confidence: 99%

Contact around a Sharp Corner with Small Scale Plasticity

Hu¹

2017

View full text Add to dashboard Cite

Abstract:Owing to elastic singularity, the contact stress around a sharp corner is highly sensitive to the boundary conditions and local geometrical details. Determination of such stress is critical in predicting failures such as wear, fretting fatigue and crack initiation. In this paper, the stress around such corner is analyzed based on linear elasticity and small scale plasticity. The stress on the contact interface is generalized in a way that the results can be easily converted to represent another corner with different dimensions or boundary conditions. An example is presented to show the determination of the stress scale and the formulation of a generalized solution. It is shown that the generalized macro stress field away from the corner dominates the contact behaviors around the corner.

show abstract

“…The strength of the singularity depends on the details of the geometry, and is the same for both the shear stress and the pressure [14][15][16]. This means that the ratio of the shear to normal stress is constant near the corner, no matter how high the stresses are.…”

Section: Introductionmentioning

confidence: 99%

Slip and wear at a corner with Coulomb friction and an interfacial strength

Thouless

2015

Wear

View full text Add to dashboard Cite

a b s t r a c tTraditional analyses of slip at corners of contacts, based on linear elasticity and a Coulomb friction law, are very sensitive to the details of local geometries, owing to the effects of elastic singularities. Following the use of cohesive-zone models to address such issues in mode-II fracture, we present analyses of slip and wear at corners of contacts when a finite interfacial shear strength is incorporated with a Coulomb friction law. We show that the concept of an instantaneous cohesive-length scale, borrowed from the field of fracture mechanics, can be used to describe the nature of stress fields around corners, and defines when linear-elasticity and Coulomb friction can provide an accurate description of the interfacial behavior. We also show that the sensitivity of slip analyses to geometrical details decreases when the cohesive-length scale increases. We also show that the cohesive strength of an interface plays a crucial role in the propagation of a wear scar across an interface. If only Coulomb slip is assumed to occur, a wear scar may not progress beyond the original stick-slip boundary. If a finite interfacial shear strength is introduced into the analysis, the wear scar can propagate along the interface.

show abstract

Characteristics of the process zone at sharp notch roots

Cited by 45 publications

References 42 publications

Analytical representation of the non-square-root singular stress field at a finite angle sharp notch

Analytical representation of the non-square-root singular stress field at a finite angle sharp notch

Contact around a Sharp Corner with Small Scale Plasticity

Slip and wear at a corner with Coulomb friction and an interfacial strength

Contact Info

Product

Resources

About