Optimal scaling in solids undergoing ductile fracture by void sheet formation. (English) Zbl 1294.35161
The aim of this paper is to present a rigorous analysis of some quantitative properties of ductile fracture. The key strategies consists of the derivation of optimal scaling laws as opposed to searching for exact minimizer for energies exhibiting both sub-linear growth in the local limit and strain gradient hardening. A number of theorems and lemmas are developed for the solution and stability of the problem. No numerical examples are developed for the illustration.
Reviewer: Prabhat Kumar Mahanti (Saint John)
MSC:
| 35Q74 | PDEs in connection with mechanics of deformable solids |
| 74C99 | Plastic materials, materials of stress-rate and internal-variable type |
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