The fundamental equations for Form II of Mindlin's second strain gradient elasticity theory for
isotropic materials are first derived. A corresponding simplified formulation is then proposed …

This book uses asymptotic methods to obtain simple approximate analytic solutions to
various problems within mechanics, notably wave processes in heterogeneous materials …

In this study, we derive the dispersion relations for anti-plane waves in the second gradient
electroelasticity theory considering the electric field, strain, and inertia gradient effects …

We consider the equilibrium problem in the relaxed linear model of micromorphic elastic
materials. The basic kinematical fields of this extended continuum model are the …

In this paper, we derive the Green tensor of anisotropic gradient elasticity with separable
weak non-locality, a special version of Mindlin's form II anisotropic gradient elasticity theory …

This paper is devoted to a gradient-elastic stress analysis of an infinite plate weakened by a
cylindrical hole and subjected to two perpendicular and independent uni-axial tensions at …

We consider the generic gradient elasticity theory of Mindlin-Tupin and try to establish a
class of applied models of gradient elasticity, for which the boundary value problems of the …

The existence of torsional and SH surface waves in a half-space of a homogeneous and
isotropic material is shown to be possible in the context of the complete Toupin–Mindlin …

In this paper, we derive closed form solutions for the quasi-stationary problems of moving
heat sources within the gradient theory of heat transfer. This theory can be formally deduced …

Non-singular dislocation continuum theories are studied. A comparison between Peierls–
Nabarro dislocations and straight dislocations in strain gradient elasticity is given. The non …