In the framework of the simplified linear Gurtin–Murdoch surface elasticity we discuss a
singularity of stresses and displacements in the vicinity of a mode III crack. We show that …

A thermodynamically-consistent phase field approach for crack propagation which includes
the following novel features is presented.(1) Scale dependency was included by relating the …

Surface effects usually remarkably affect the mechanical response of ultra-thin micro-/nano-
structures. However, the mechanisms of surface effects on the fracture characteristics of ultra …

We consider plane deformations of a linearly elastic solid in the case where either a mode-I
or mode-II crack is present but, perhaps more significantly, when surface effects are included …

We examine the role of crack-tip conditions in the reduction of stress at a crack tip in a theory
of linear elasticity with surface effects. The maximum number of allowable end conditions for …

One of the assumptions of Linear Elastic Fracture Mechanics is that the crack faces are
traction-free or, at most, loaded by bounded tractions. The standard Irwin's crack closure …

The main purpose of this study is to establish the existence of a weak solution to the anti-
plane stress problem on V-notch domains for a class of recently proposed new models that …

An axisymmetric problem for a frictionless contact of a rigid stamp with a semi-space in the
presence of surface energy in the Steigmann–Ogden form is studied. The method of …

A problem for a nanosized penny-shaped material surface attached to the boundary of an
elastic isotropic semi-space is considered. An axisymmetric normal traction is applied to a …

When the defects are at the nanoscale, the failure characteristics of the piezoelectric
quasicrystals are different from the macroscale case. The mode-III fracture problem of four …