Abstract
In this paper, a two-dimensional model to describe the non-planar features of crack morphologies is presented. The model accounts for frictional tractions along the crack surfaces by considering an elastic-plastic-like constitutive interface law. Dilatancy effect due to crack roughness is described by the model, leading to a Mode I/II coupling between displacements and tractions along the crack surfaces. The non-linear solution of the rough and frictional crack under general remote scenarios is obtained using the Distributed Dislocation Technique (DDT). By considering a linear piecewise periodic profile of the interface crack, the influence of roughness and friction of interface cracks is examined in relation to both the resulting near-tip stress field and the fracture resistance under monotonic mixed-mode loading. The present model is able to quantify the increase of the fracture resistance due to roughnessand friction-induced crack tip shielding and to correlate it with a dimensionless crack size parameter.
Highlights
Traction-free and planar cracks represent a rather idealized picture of the physical reality, commonly used in fracture mechanics problems
Failure of structural components under shear loading may occur at larger critical loads than those predicted by Linear Elastic Fracture Mechanics (LEFM); the crack path kinks with respect to the direction predicted and its interfaces appear rough and irregular
By considering a linear piecewise periodic profile of the interface crack, the present model is employed to quantify the increase of the fracture resistance due to crack tip shielding for given values of the relative crack size, measured as the ratio between the crack length and the periodic length of the crack roughness, and various loading scenarios
Summary
Traction-free and planar cracks represent a rather idealized picture of the physical reality, commonly used in fracture mechanics problems. Failure of structural components under shear loading may occur at larger critical loads than those predicted by Linear Elastic Fracture Mechanics (LEFM); the crack path kinks with respect to the direction predicted and its interfaces appear rough and irregular. A non-linear model is presented where an elastic-plastic-like constitutive interface law [4] is adopted to describe the Mode I/II coupling between displacements and tractions along the crack surfaces. By considering a linear piecewise periodic profile of the interface crack, the present model is employed to quantify the increase of the fracture resistance due to crack tip shielding (e.g. see [6]) for given values of the relative crack size, measured as the ratio between the crack length and the periodic length of the crack roughness, and various loading scenarios
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