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Autor:
Lazar, Markus, Agiasofitou, Eleni
Publikováno v:
Mechanics Research Communications 93, 89-95 (2018)
In this work, using the framework of (three-dimensional) Eshelbian dislocation mechanics, we derive the $J$-, $M$-, and $L$-integrals of a single (edge and screw) dislocation in isotropic elasticity as a limit of the $J$-, $M$-, and $L$-integrals bet
Externí odkaz:
http://arxiv.org/abs/1709.01836
Autor:
Agiasofitou, Eleni, Lazar, Markus
Publikováno v:
International Journal of Engineering Science 114 (2017) 16-40
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 such a unified framework, we explore the utility of the $J$-, $M$-, and
Externí odkaz:
http://arxiv.org/abs/1702.00363
Autor:
Lazar, Markus1 (AUTHOR) markus.lazar@kit.edu, Agiasofitou, Eleni1 (AUTHOR)
Publikováno v:
Acta Mechanica. Aug2023, Vol. 234 Issue 8, p3131-3159. 29p.
Autor:
Lazar, Markus, Agiasofitou, Eleni
Publikováno v:
J. Micromech. Mol. Phys. 01, 1640008 (2016) [39 pages]
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 laws for quasicrystalline materials with dislocations are derived in th
Externí odkaz:
http://arxiv.org/abs/1611.02146
The Comment by Aifantis that criticizes the article 'On non-singular crack fields in Helmholtz type enriched elasticity theories' [Lazar, M., Polyzos, D., 2014. Int. J. Solids Struct. doi: 10.1016/j.ijsolstr.2014.01.002] is refuted by means of clear
Externí odkaz:
http://arxiv.org/abs/1504.00869
Autor:
Lazar, Markus, Agiasofitou, Eleni
Publikováno v:
Philosophical Magazine 94 (35), 4080-4101 (2014)
The present work provides fundamental quantities in generalized elasticity and dislocation theory of quasicrystals. In a clear and straightforward manner, the three-dimensional Green tensor of generalized elasticity theory and the extended displaceme
Externí odkaz:
http://arxiv.org/abs/1410.7322
Autor:
Agiasofitou, Eleni, Lazar, Markus
Publikováno v:
Mechanics Research Communications 57, 27-33 (2014)
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, and the elastodynamic model of wave-telegraph type. Similarities and d
Externí odkaz:
http://arxiv.org/abs/1401.4968
Autor:
Agiasofitou, Eleni, Lazar, Markus
Publikováno v:
International Journal of Solids and Structures 51 (5), 923-929 (2014)
In this work we propose the elastodynamic model of wave-telegraph type for the description of dynamics of quasicrystals. Phonons are represented by waves, and phasons by waves damped in time and propagating with finite velocity. Therefore, the equati
Externí odkaz:
http://arxiv.org/abs/1311.5095