Correlating elasticity and crack formation

@misc{citeulike:1234085, abstract = {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.}, author = {Lazar, Petr and Podloucky, Raimund and Wolf, Walter }, citeulike-article-id = {1234085}, eprint = {cond-mat/0504129}, keywords = {cohesive, crack}, month = {Apr}, posted-at = {2007-04-18 14:49:04}, priority = {2}, title = {Correlating elasticity and crack formation}, url = {http://arxiv.org/abs/cond-mat/0504129}, year = {2005} }

TY - ELEC ID - citeulike:1234085 L3 - citeulike-article-id:1234085 TI - Correlating elasticity and crack formation N2 - 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. KW - cohesive KW - crack AU - Lazar, Petr AU - Podloucky, Raimund AU - Wolf, Walter PY - 2005/Apr/06/ UR - http://arxiv.org/abs/cond-mat/0504129 ER -