43 citations · 115 across the 8 of their papers we have counts for
8 papers
The problem of sharp notch in microstructured solids governed by dipolar gradient elasticity
P. A. Gourgiotis, M. D. Sifnaiou, H. G. Georgiadis
In this paper, we deal with the asymptotic problem of a body of infinite extent with a notch (re-entrant corner) under remotely applied plane-strain or anti-plane shear loadings. T…
Scattering of Antiplane Shear Waves by Fractals in Strain Gradient Elasticity
E. Alevras, Th. Zisis, P. A. Gourgiotis
Wave manipulation is essential in various applications, including seismic wave protection, sound isolation, and acoustic device design. This study examines the scattering and trapp…
An approach based on distributed dislocations and disclinations for crack problems in couple-stress elasticity
P. A. Gourgiotis, H. G. Georgiadis
The technique of distributed dislocations proved to be in the past an effective approach in studying crack problems within classical elasticity. The present work is intended to ext…
Stress channelling in extreme couple-stress materials Part II: Localized folding vs faulting of a continuum in single and cross geometries
Panos A. Gourgiotis, Davide Bigoni
The antiplane strain Green's functions for an applied concentrated force and moment are obtained for Cosserat elastic solids with extreme anisotropy, which can be tailored to bring…
Torsional and SH surface waves in an isotropic and homogenous elastic half-space characterized by the Toupin-Mindlin gradient theory
P. A. Gourgiotis, H. G. Georgiadis
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 theory…
Stress channelling in extreme couple-stress materials Part I: Strong ellipticity, wave propagation, ellipticity, and discontinuity relations
Panos A. Gourgiotis, Davide Bigoni
Materials with extreme mechanical anisotropy are designed to work near a material instability threshold where they display stress channelling and strain localization, effects that…
The Boussinesq Problem in Dipolar Gradient Elasticity
H. G. Georgiadis, P. A. Gourgiotis, D. S. Anagnostou
The three-dimensional axisymmetric Boussinesq problem of an isotropic half-space subjected to a concentrated normal quasi-static load is studied within the framework of linear dipo…
Steady-State Propagation of a Mode II Crack in Couple Stress Elasticity
P. A. Gourgiotis, A. Piccolroaz
The present work deals with the problem of a semi-infinite crack steadily propagating in an elastic body subject to plane-strain shear loading. It is assumed that the mechanical re…