This book presents recent advances related to the following two topics: how mechanical
fields close to material or geometrical singularities such as cracks can be determined; how …

A novel fast multipole boundary element method (BEM) is developed to analyze the stress
fields of plane structures with multiple V-notches. To accurately evaluate the singular …

An analytical solution of the nonlinear eigenvalue problem arising from the fatigue crack
growth problem in a damaged medium in coupled formulation is obtained. The perturbation …

The traditional brittle fracture criteria for V-notched structures are established on the base of
the singular stress field at a V-notch tip where only two singular stress terms are adopted …

To describe the physical fields of the V-notch structure accurately, the structure is first
divided into two parts, the notch tip sector containing singular stress field and the non …

In this paper, the extended boundary element method (XBEM) is employed to evaluate the
singular stress fields of plane V-notched/cracked structures based on the linear elastic …

A new algorithm coupling the boundary element technique with the characteristic expansion
method is proposed for the computation of the singular stress field in the V-notched bi …

The complete stress distribution around the tip of angularly heterogeneous material V-notch
includes singular stress term and higher order non-singular stress term. The latter has …

The aim of this paper is to analyze the plastic stress singularities of the V-shaped notches
and cracks under the plane stress conditions and mixed mode. Based on the formulation of …

It is the singular term dominating the stress field near the vertex of a sharp notch, while the
non-singular terms also play a non-ignorable role on the complete stress field. The non …