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Asymptotic dynamic solution to the mode-I propagating crack-tip field

โœ Scribed by Y. C. Gao

Publisher
Springer Netherlands
Year
1985
Tongue
English
Weight
303 KB
Volume
29
Category
Article
ISSN
1573-2673

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โœฆ Synopsis

In this paper the mode I dynamic crack-tip field propagating in perfectly plastic solid is studied. The two dimensional constitutive relation is derived from the Mises yield condition and constrain condition E z = 0. Two stress functions +, q0 are introduced for plastic domain. By means of analysis of dynamic equations, the form of displacements is given. Finally, the asymptotic equations are given and solved numerically.

The results show that for general compressible materials, the mode I plane strain crack-tip field is fully plastic, there is no unloading elastic region. Ahead of the crack-tip, strain possesses the In A/r singularity.

๐Ÿ“œ SIMILAR VOLUMES

On the crack-tip fields of a dynamically
On the crack-tip fields of a dynamically propagating crack in an anisotropic elastic solid
โœ Kuang-Chong Wu ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 422 KB

General expressions of the crack-tip fields for a dynamically extending crack through an anisotropic elastic material are given. Based on the crack-tip fields, the associated dynamic energy release rate is also derived. Explicit results are given for transversely isotropic materials.

Mode I crack tip fields in amorphous mat
Mode I crack tip fields in amorphous materials with application to metallic glasses
โœ Parag Tandaiya; R. Narasimhan; U. Ramamurty ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 844 KB

In this work, stationary crack tip fields in amorphous materials such as metallic glasses under mode I loading are studied to understand the factors that control crack tip plasticity and in turn impart toughness to those materials. For this purpose, finite element simulations under plane strain, sma