Correlating elasticity and crack formation
| dc.creator | Lazar, Petr | |
| dc.creator | Podloucky, Raimund | |
| dc.creator | Wolf, Walter | |
| dc.date | 2005-04-06 | |
| dc.date.accessioned | 2026-07-07T03:04:27Z | |
| dc.date.available | 2026-07-07T03:04:27Z | |
| dc.description | For solving the longstanding materials science problem of correlating elastic properties of a solid material to the formation of cracks we present a new general concept. This concept is applied to the technologically most important cracks of loading mode I for which we establish exact correlations by introducing a localization length as a new material parameter. We study two limiting cases of crack formation making use of analytic models determining the material and direction dependent parameters by comparison to {\em ab initio} density functional results. This is done for a variety of real materials in order to test our approach for different types of bonding. For the most interesting ideal brittle cleavage we find that the localization length is -within a reasonable approximation- of constant value, which results in a simple relation for the critical stress, presumably being useful for materials engineering. Our results confirm that the proposed general concept results in meaningful physical models which -for the first time- allow a rigorous and simple correlation between elastic and mechanical properties. | |
| dc.description | 4 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0504129 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0504129 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/26144 | |
| dc.subject | Materials Science | |
| dc.title | Correlating elasticity and crack formation | |
| dc.type | text |