Abstract The forces in the ‘arms’ joining particles a peridynamic analysis depend upon state of stress equivalent continuum and orientation, length density arms. Short long arms carry less force than medium as controlled by weighting kernel. We introduce an intermediate step imagining mat fibres which fibre only stress, orientation per unit volume without added complexity arm lengths. effect le...

In the present paper, we investigate the influence of corrosion driving forces and interfacial toughness for a coated material subjected to mechanical loading. If the protective coating is cracked, the substrate material may become exposed to a corrosive media. For a stress corrosion sensitive substrate material, this may lead to detrimental crack growth. A crack is assumed to grow by anodic di...

A careful examination of a dynamic mode I crack problem leads to the conclusion that the commonly used boundary conditions do not always hold in the case of an applied crack face loading, so that a modification is required to satisfy the equations. In particular, a transient compressive stress wave travels along the crack faces, moving outward from the loading region on the crack face. This doe...

Abstract In this paper, a framework for the simulation of crack propagation in brittle and ductile materials is proposed. The derived by extending eigenerosion approach Pandolfi Ortiz (Int J Numer Methods Eng 92(8):694–714, 2012. 10.1002/nme.4352 ) to finite strains connecting it with generalized energy-based, Griffith-type failure criterion fracture. To model elasto-plastic response, classical...