This review article has two parts, published in separate issues of this journal, which consider
the stress singularities that occur in linear elastostatics. In the present Part I, after a brief …

This review article gives a historical overview of some topics related to the classical 2D
biharmonic problem. This problem arises in many physical studies concerning bending of …

Scaling (power-type) laws reveal the fundamental property of the phenomena--self similarity.
Self-similar (scaling) phenomena repeat themselves in time and/or space. The property of …

Exact analytical solutions in some areas of solid mechanics, in particular problems in the
theory of plates, have long been regarded as bottlenecks in the development of elasticity. In …

This review article (Part II) is a sequel to an earlier one (Part I) that dealt with means of
removal and interpretation of stress singularities in elasticity, as well as their asymptotic and …

This paper proposes a definition of generalized stress intensity factors that includes classical
definitions for crack problems as special cases. Based on the semi-analytical solution …

The stress singularity at the vertex of an anistropic wedge has the form r− ϵ F (r, θ) as r→ 0
where 0< ξ< 1 and F is a real function of the polar coordinates (r, θ). In many cases, F is …

The scaled boundary finite-element method is extended to analyze the in-plane singular
stress fields at cracks and multi-material corners. A complete singular stress field is …

The complex potential method of England is used to formulate the eigenvalue problem for a
V-notched crack in a bi-material. The reciprocal work contour integral method of Stern is …

Joining of different materials is a situation frequently observed in mechanical engineering
and in materials science. Due to the difference in the elastic properties of the constituent …