Energy flux into process region in elastic-plastic fracture problems
✍ Scribed by S. Aoki; K. Kishimoto; M. Sakata
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 842 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0013-7944
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✦ Synopsis
Ai&ract-Formulas
for the tluxes of total and free energies into a finite fracture process region near a crack tip are derived taking account of the effects of the plastic deformation, thermal strain, body forces and inertia forces. Two different limiting procedures of shrinking the size of the process region are considered in order to obtain the formulas for a crack model with an infinitesimal process region. The formulations are extended to three-dimensional crack problems. NOTATION regular region process region internal energy per unit mass free energy per unit mass flux of free energy into the process region body force per unit volume distortion component of Vi kinetic energy per unit mass unit normal heat flux radius from the crack tip to f',, flux of entropy into the process region absolute temperature surface traction displacement velocity of the crack tip velocity of f,, elastic energy density heat produced by internal heat sources arbitrary curve surrounding the curve f,, boundary of the process region curves along the crack surfaces total strain elastic strain inelastic strain (e.g. thermal strain, plastic strain) flux of total energy into the process region entropy per unit mass entropy production per unit mass (v 2 0) density stress angular velocity of the crack tip = d/dt = a/ax,