An Analysis of Crystal Cleavage in the Passage from Atomistic Models to Continuum Theory
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| 024 | 7 | 0 | |a 10.1007/s00205-014-0833-y |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-014-0833-y | ||
| 245 | 0 | 3 | |a An Analysis of Crystal Cleavage in the Passage from Atomistic Models to Continuum Theory |h [Elektronische Daten] |c [Manuel Friedrich, Bernd Schmidt] |
| 520 | 3 | |a We study the behavior of brittle atomistic models in general dimensions under uniaxial tension and investigate the system for critical fracture loads. We rigorously prove that in the discrete-to-continuum limit the minimal energy satisfies a particular cleavage law with quadratic response to small boundary displacements followed by a sharp constant cut-off beyond some critical value. Moreover, we show that the minimal energy is attained by homogeneous elastic configurations in the subcritical case and that beyond critical loading cleavage along specific crystallographic hyperplanes is energetically favorable. In particular, our results apply to mass spring models with full nearest and next-to-nearest pair interactions and provide the limiting minimal energy and minimal configurations. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 700 | 1 | |a Friedrich |D Manuel |u Institut für Mathematik, Universität Augsburg, Universitätsstr. 14, 86159, Augsburg, Germany |4 aut | |
| 700 | 1 | |a Schmidt |D Bernd |u Institut für Mathematik, Universität Augsburg, Universitätsstr. 14, 86159, Augsburg, Germany |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/1(2015-07-01), 263-308 |x 0003-9527 |q 217:1<263 |1 2015 |2 217 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-014-0833-y |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-014-0833-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Friedrich |D Manuel |u Institut für Mathematik, Universität Augsburg, Universitätsstr. 14, 86159, Augsburg, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Schmidt |D Bernd |u Institut für Mathematik, Universität Augsburg, Universitätsstr. 14, 86159, Augsburg, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/1(2015-07-01), 263-308 |x 0003-9527 |q 217:1<263 |1 2015 |2 217 |o 205 | ||