Outputs (6)

The Dynamics of Folding Instability in a Constrained Cosserat Medium (2017)
Journal Article
Gourgiotis, P., & Bigoni, D. (2017). The Dynamics of Folding Instability in a Constrained Cosserat Medium. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 375(2093), Article 20160159. https://doi.org/10.1098/rsta.2016.0159

Different from Cauchy elastic materials, generalized continua, and in particular constrained Cosserat materials, can be designed to possess extreme (near a failure of ellipticity) orthotropy properties and in this way to model folding in a three-dime... Read More about The Dynamics of Folding Instability in a Constrained Cosserat Medium.

Interaction of cracks with dislocations in couple-stress elasticity. Part I: Opening mode (2017)
Journal Article
Baxevanakis, K., Gourgiotis, P., & Georgiadis, H. (2017). Interaction of cracks with dislocations in couple-stress elasticity. Part I: Opening mode. International Journal of Solids and Structures, 118-119, 179-191. https://doi.org/10.1016/j.ijsolstr.2017.03.019

In the present work the interaction of a finite-length crack with a discrete climb dislocation is studied within the framework of the generalized continuum theory of couple-stress elasticity. The climb dislocation is placed on the crack plane resulti... Read More about Interaction of cracks with dislocations in couple-stress elasticity. Part I: Opening mode.

Folding and faulting of an elastic continuum (2016)
Journal Article
Bigoni, D., & Gourgiotis, P. (2016). Folding and faulting of an elastic continuum. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472(2187), Article 20160018. https://doi.org/10.1098/rspa.2016.0018

Folding is a process in which bending is localized at sharp edges separated by almost undeformed elements. This process is rarely encountered in Nature, although some exceptions can be found in unusual layered rock formations (called ‘chevrons’) and... Read More about Folding and faulting of an elastic continuum.

Stress channelling in extreme couple-stress materials Part I: Strong ellipticity, wave propagation, ellipticity, and discontinuity relations (2015)
Journal Article
Gourgiotis, P., & Bigoni, D. (2016). Stress channelling in extreme couple-stress materials Part I: Strong ellipticity, wave propagation, ellipticity, and discontinuity relations. Journal of the Mechanics and Physics of Solids, 88, 150-168. https://doi.org/10.1016/j.jmps.2015.09.006

Materials with extreme mechanical anisotropy are designed to work near a material instability threshold where they display stress channeling and strain localization, effects that can be exploited in several technologies. Extreme couple stress solids... Read More about Stress channelling in extreme couple-stress materials Part I: Strong ellipticity, wave propagation, ellipticity, and discontinuity relations.

Macroscopic stress and strain in a doubly periodic array of dislocation dipoles (2014)
Journal Article
Gourgiotis, P., & Stupkiewicz, S. (2014). Macroscopic stress and strain in a doubly periodic array of dislocation dipoles. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 470(2171), Article 20140309. https://doi.org/10.1098/rspa.2014.0309

It is known that in two-dimensional periodic arrays of dislocations the summation of the periodic image fields is conditionally convergent. This is due to the long-range character of the elastic fields of dislocations. As a result, the stress field o... Read More about Macroscopic stress and strain in a doubly periodic array of dislocation dipoles.

Steady-state propagation of a mode II crack in couple stress elasticity (2014)
Journal Article
Gourgiotis, P., & Piccolroaz, A. (2014). Steady-state propagation of a mode II crack in couple stress elasticity. International Journal of Fracture, 188(2), 119-145. https://doi.org/10.1007/s10704-014-9950-8

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 response of the body is governed by the theory of couple-stress elastici... Read More about Steady-state propagation of a mode II crack in couple stress elasticity.