Denda and Marante [1] have developed the boundary element method for the mixed mode fracture analysis of multiple curvilinear cracks in the general anisotropic solids in two dimensions for which in-plane Mode I, II, and out-of-plane Mode III, of fracture are coupled. They have developed the crack tip singular element (CTSE) to model any curvilinear cracks, including center and edge cracks. The ...

A dynamic crack tip equation of motion is proposed based on the autonomy of the near-tip nonlinear zone of scale l(nl), symmetry principles, causality, and scaling arguments. Causality implies that the asymptotic linear-elastic fields at time t are determined by the crack path at a retarded time t-tau(d), where the delay time tau(d) scales with the ratio of l(nl) and the typical wave speed c(nl...

Fracture analysis of orthotropic cracked media is investigated by applying the recently developed extended isogeometric analysis (XIGA) (Ghorashi et al., 2012) using the T-spline basis functions. The signed distance function and orthotropic crack tip enrichment functions are adopted for extrinsically enriching the conventional isogeometric analysis approximation for representation of strong dis...

ull-field analysis of optical data is routinely carried out for extracting crack tip parameters.'-6 Typically, surface or thickness average measurements are analyzed using overdeterministic least-squares procedure with two-dimensional plane stress asymptotic field equations as basis functions. Commonly used linear and nonlinear algorithms in such analyses have been reviewed by Sanford.' Experim...

Interfacial fracture of adhesive bonds undergoing large-scale yielding is studied using a combined experimental/ finite-element approach. The full range of in-plane mode mixity is produced over bond thickness ranging from 30 to 500 lm using the scarf and the ENF joint geometries. Novel techniques for introducing pre-cracks and surface decoration, together with in situ observations, facilitate a...

Crack-tip behaviour in metals is among the most basic problems in mechanics of materials. Yet, long-standing experimental evidence suggests that crack-tip twinning in face-centred-cubic (f.c.c.) metals is highly dependent on the material, temperature and loading rate, and previous simulations and models predict twinning in aluminium, where it has never been observed. Here, this discrepancy betw...

We study a model of interfacial crack in which contact of the crack faces obeys a Coulomb law of friction. For such cracks, the possibility that the stress has a stronger singularity than rÿ1=2 near the tip has been reported. In this paper, we demonstrate that these strong singularities can, in fact, be discarded, because they would assume a backward propagation of the crack. In passing, we pro...

We present a modi cation to the quarter-point crack tip element and employ this element in two-dimensional boundary integral fracture analysis. The standard singular element is adjusted so that the near-tip crack opening displacement satis es a known constraint: the coe cient of the term which is linear in the distance to the tip must vanish. Stress intensity factors calculated with the Displac...

We present a modification to the quarter-point crack tip element and employ this element in two-dimensional boundary integral fracture analysis. The standard singular element is adjusted so that the near-tip crack opening displacement satisfies a known constraint: the coefficient of the term which is linear in the distance to the tip must vanish. Stress intensity factors calculated with the dis...

Peridynamics (PD) is a nonlocal continuum theory based on integro-differential equations without spatial derivatives. The elongation fracture criterion is implicitly incorporated in the PD theory, and fracture is a natural outcome of the simulation. On the other hand, a new fracture criterion based on the crack opening displacement combined with peridynamic (PD-COD) is proposed. When the relati...