Yield initiation of compressible material with a central void under dynamic load

Ming-Chun Cai; Hui-Ji Shi; Xian-Feng Ma

doi:10.1016/j.crme.2010.03.010

Yield initiation of compressible material with a central void under dynamic load
[Limite d'élasticité d'un matériau compressible à cavité centrale sous contrainte dynamique]

Ming-Chun Cai ^1,² ; Hui-Ji Shi ¹ ; Xian-Feng Ma ¹

¹ AML, School of Aerospace, Tsinghua University, 100084 Beijing, China
² Department of Engineering Physics, Tsinghua University, 100084 Beijing, China

Comptes Rendus. Mécanique, Volume 338 (2010) no. 4, pp. 207-211.

Résumé
Abstract

Une solution analytique rigoureuse est présentée pour un solide compressible comportant une cavité centrale sous une tension dynamique hydrostatique. Pour un solide muni d'une cavité centrale pré-existante, la limite d'élasticité est obtenue préférentiellement dans une zone proche de la cavité plutôt qu'à sa surface. Pour une cavité formée sous charge dynamique, la limite d'élasticité résultante apparaîtra toujours dans une zone dont la distance à la cavité ne dépasse pas 1/4 de la longueur d'onde longitudinale du matériau.

A rigorous analytical solution is presented for a compressible solid with a central void under dynamic hydrostatic tension. It is revealed that for a solid with a preexisting central void under the dynamic loading, the yielding is nucleated preferentially in the zone near the void surface rather than on the void surface. For a void forming under the dynamic load, the subsequent yielding will always initiate in the region with the depth below 1/4 longitudinal wavelength from the void surface.

Reçu le : 2009-12-14
Accepté le : 2010-03-29
Publié le : 2010-04-01

DOI : 10.1016/j.crme.2010.03.010

Keywords: Continuum mechanics, Compressible solid, Void, Dynamic load, Yield, Stress
Mot clés : Milieux continus, Solide compressible, Cavité, Charge dynamique, Limite d'élasticité, Contrainte

Affiliations des auteurs :

Ming-Chun Cai ^{1, 2} ; Hui-Ji Shi ¹ ; Xian-Feng Ma ¹

¹ AML, School of Aerospace, Tsinghua University, 100084 Beijing, China
² Department of Engineering Physics, Tsinghua University, 100084 Beijing, China

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     author = {Ming-Chun Cai and Hui-Ji Shi and Xian-Feng Ma},
     title = {Yield initiation of compressible material with a central void under dynamic load},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {207--211},
     publisher = {Elsevier},
     volume = {338},
     number = {4},
     year = {2010},
     doi = {10.1016/j.crme.2010.03.010},
     language = {en},
}

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Ming-Chun Cai; Hui-Ji Shi; Xian-Feng Ma. Yield initiation of compressible material with a central void under dynamic load. Comptes Rendus. Mécanique, Volume 338 (2010) no. 4, pp. 207-211. doi : 10.1016/j.crme.2010.03.010. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.03.010/

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