25 citations · 112 across the 7 of their papers we have counts for
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Eshelbian dislocation mechanics: -, -, and -integrals of straight dislocations
Markus Lazar, Eleni Agiasofitou
In this work, using the framework of (three-dimensional) Eshelbian dislocation mechanics, we derive the -, -, and -integrals of a single (edge and screw) dislocation in is…
Micromechanics of dislocations in solids: -, -, and -integrals and their fundamental relations
Eleni Agiasofitou, Markus Lazar
The aim of the present work is the unification of incompatible elasticity theory of dislocations and Eshelbian mechanics leading naturally to Eshelbian dislocation mechanics. In su…
Eshelbian mechanics of novel materials: Quasicrystals
Markus Lazar, Eleni Agiasofitou
In this work, the so-called Eshelbian or configurational mechanics of quasicrystals is presented. Quasicrystals are considered as a prototype of novel materials. Material balance l…
Fundamentals in generalized elasticity and dislocation theory of quasicrystals: Green tensor, dislocation key-formulas and dislocation loops
Markus Lazar, Eleni Agiasofitou
The present work provides fundamental quantities in generalized elasticity and dislocation theory of quasicrystals. In a clear and straightforward manner, the three-dimensional Gre…
On the equations of motion of dislocations in quasicrystals
Eleni Agiasofitou, Markus Lazar
In this work we investigate the theory of dynamics of dislocations in quasicrystals. We consider three models: the elastodynamic model of wave type, the elasto-hydrodynamic model,…
Generalized dynamics of moving dislocations in quasicrystals
Eleni Agiasofitou, Markus Lazar, Helmut Kirchner
A theoretical framework for dislocation dynamics in quasicrystals is provided according to the continuum theory of dislocations. Firstly, we present the fundamental theory for movi…