Sentence examples for representation of cracks from inspiring English sources

The mathematical representation of cracks with a bilateral behaviour (i.e. always open) via Dirac delta functions is extended by introducing a convenient switching variable, which allows each crack to be open or closed depending on the sign of the axial strain at the crack centre.

A novel representation of crack by level set is proposed.

Short theoretical background information on the XFEM is provided, as well as the representation of crack and the stress intensity factors computation.

Conventional representation of crack growth rates, da/dN, as a function of a single driving force, ΔK, is considered as inadequate.

This study presents an improved representation of cracked slender beams, based on a general class of gradient elasticity with both stress and strain gradient, which allows smoothing the singularities in the flexibility crack model.

This method, called the "projection" method, uses both a classical discretization of the surface of the crack (segments for 2d cracks and triangles for 3d cracks) and a level set representation of the crack.

This indicates that the representation of a crack by the rotational spring is reasonably accurate.

The analysis is based on energy method and representation of a crack by a rotational spring.

In this method, damage and discontinuity are treated from a weak discontinuity to a strong one without additional degree of freedom and without explicit representation of the crack.

These distributions derive from an accurate representation of the crack opening displacements using power series basis terms obtained through wedge eigenvalue analysis, which leads to both polynomial and non-polynomial power series.

It is generally accepted that an adequate representation of intermediate crack debonding can be achieved by considering only mode-II (shear) fracture along the interfacial bond, a problem that can be solved by accounting for one-dimensional fields of elastic stress and strain in the substrate and plate, and nonlinear interfacial slip and shear stress along the bond.