Numerical solutions of three dimensional dynamic crack problems and simulation of dynamic fracture phenomena by a “non-standard” finite difference method
✍ Scribed by Yung Ming Chen
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 774 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0013-7944
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✦ Synopsis
Abdraet-A brief p~sen~~n of the novel fe&rres of a non-sad finite difference method (HEMP and HEMP 3D comnuter code.9 is &en. To demonstrate the canabilitv of the HEMP 3D code with the extrapolation sub-routine for sol&g dynamic problems in linear-fracture mechanics, through-the-thickness cracks and semielliptic surface cracks of a section of cylindrical pipe under Heaviside-function time dependence pressure applied to the interior surface are considered, and their dynamic stress intensity factors are calculated. The dynamic fracture phenomenon caused by the penetration of a r&d cytindrical punch into the center of a cylindrical wafer of linear-e&& brittle material is simulated mrmerically by using the HEMP code with the inchoation of the method of equivalent free-surface botmdary conditions and the method of artificial velocity. A simple physical mode1 that crack will initiate and propagate in any region where a critical stress has been reached and the crack will propagate in a diction perpendicular to the maximum principal stress is chosen here.
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