Linear and Nonlinear Fracture Mechanics

Asymptotic fields at frictionless and frictional cohesive crack tips in quasibrittle materials

“…In the cohesive crack tip fields some of the terms can be dependent and not controlled by independent coefficients. Such a dependence also exists in the higher order terms of the crack tip fields in elastoplastic power-law hardening materials (see [Xia et al 1993;Yang et al 1993;1996;Chao and Yang 1996] and a review by Karihaloo and Xiao [2003a]). …”

Fourier basis for the engineering assessment of cracks in residual stress fields

“…As such they add to (or subtract from) applied stresses and are often the cause of unexpected failure. The science of fracture mechanics [2] has developed rapidly since the mid-1950s and provides methods [3], [4] for engineers to assess whether flaws or crack-like defects in structures will progress through various mechanisms, including corrosion, creep and fatigue, and ultimately become unstable. Fracture mechanics studies involve both stress analysis aspects and the resistance behaviour of the material to the stresses imposed.…”

Fatigue analysis of multiaxially loaded crane runway structures including welding residual stress effects

“…Fatigue cracks already measure lengths of at least a ¼ 7 mm [11] where the local stress state is mainly influenced by the crack tip and not the notch ligament. The separation of the crack initiation and the crack propagation stage is evident for an integral fatigue assessment of welded joints being characterized by pronounced crack growth stages [37]. Besides, the effect of welding residual stresses on fatigue crack propagation has to be investigated separately.…”