Written by a well-known group of researchers from Moscow, this book is a study of the
asymptotic approximations of the 3-D dynamical equations of elasticity in the case of thin …

The elastic stress and strain fields of finite thickness large plate containing a hole are
systematically investigated using 3D finite element method. It is found that the stress and …

This comprehensive text provides all information necessary for an introductory course on the
calculus of variations and optimal control theory. Following a thorough discussion of the …

Abstract Linear TR theories (Timoshenko-Reissner theories) of isotropic plates and shells
are discussed. These theories take into account the transversal shear deformation and …

This paper presents analytical solutions for the three-dimensional stress distribution around
typical stress concentrators in an isotropic plate of arbitrary thickness. Based on the …

The stress intensity factor (SIF) distribution along the front of a through‐the‐thickness crack
is significantly influenced by the presence of the 3D corner (vertex) singularities. All past 3D …

Abstract 3D crack problems are area where a further intensive research is required. 3D
solutions can shed more light on fracture and fatigue phenomena, provide a more accurate …

The aim of this contribution is to provide a brief overview of three-dimensional linear-elastic
fracture mechanics (3D LEFM) as well as the latest advances in this area. The primary focus …

On the occasion of the 100th anniversary of AEH Love's fundamental paper on thin elastic
shell theory, the present article summarizes a line of developments on shells of revolution …

In this study, a theoretical model is proposed to analyze the stress concentration in a plate of
finite thickness containing a circular hole under remote biaxial loading. The stresses in a …