Within the framework of finite elastodynamics, a crack propagation analysis, for sheets of compressible hyperelastic material, is formulated. By exploiting a dynamic generalization of the Stephenson's result, general far-field loading conditions are considered. Through an asymptotic singular analysis, the motion and the stress fields around a dynamically moving crack tip are then computed. Emphasis is placed on the order of singularity in the asymptotic Piola-Kirchhoff and Cauchy stresses, on the determination of crack profile and of the vector energy flux at the moving crack tip. Moreover, the most important differences with respect to the classical predictions of linear elastodynamic theory are evidenced.

Crack propagation in finite elastodynamics / Tarantino, Angelo Marcello. - In: MATHEMATICS AND MECHANICS OF SOLIDS. - ISSN 1081-2865. - STAMPA. - 10:(2005), pp. 577-601.

Crack propagation in finite elastodynamics

TARANTINO, Angelo Marcello
2005

Abstract

Within the framework of finite elastodynamics, a crack propagation analysis, for sheets of compressible hyperelastic material, is formulated. By exploiting a dynamic generalization of the Stephenson's result, general far-field loading conditions are considered. Through an asymptotic singular analysis, the motion and the stress fields around a dynamically moving crack tip are then computed. Emphasis is placed on the order of singularity in the asymptotic Piola-Kirchhoff and Cauchy stresses, on the determination of crack profile and of the vector energy flux at the moving crack tip. Moreover, the most important differences with respect to the classical predictions of linear elastodynamic theory are evidenced.
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577
601
Crack propagation in finite elastodynamics / Tarantino, Angelo Marcello. - In: MATHEMATICS AND MECHANICS OF SOLIDS. - ISSN 1081-2865. - STAMPA. - 10:(2005), pp. 577-601.
Tarantino, Angelo Marcello
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/305861
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