The motion field surrounding a rapidly propagating crack, loaded symmetrically about the plane of the crack, is investigated. The problem is formulated within the framework of finite elastodynamics for thin slabs composed of compressible hyperelastic material. Writing the motion equations, the initial and the internal boundary conditions, with respect to a coordinate system that translates with the moving crack tip, we perform an asymptotic local analysis for a traction-foe straight crack that suddenly grows at constant velocity. Moreover, the asymptotic Piola-Kirchhoff and Cauchy stress Fields are computed, and we discuss the order of singularity of the dynamic stresses.
On the finite motions generated by a mode I propagating crack / Tarantino, Angelo Marcello. - In: JOURNAL OF ELASTICITY. - ISSN 0374-3535. - STAMPA. - 57:(1999), pp. 85-103.
On the finite motions generated by a mode I propagating crack
TARANTINO, Angelo Marcello
1999
Abstract
The motion field surrounding a rapidly propagating crack, loaded symmetrically about the plane of the crack, is investigated. The problem is formulated within the framework of finite elastodynamics for thin slabs composed of compressible hyperelastic material. Writing the motion equations, the initial and the internal boundary conditions, with respect to a coordinate system that translates with the moving crack tip, we perform an asymptotic local analysis for a traction-foe straight crack that suddenly grows at constant velocity. Moreover, the asymptotic Piola-Kirchhoff and Cauchy stress Fields are computed, and we discuss the order of singularity of the dynamic stresses.
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