Abstract
We consider a two dimensional elastic Isotropic body with a curvilinear crack, The formula for the derivative of the energy functional with respect to the crack length is discussed. It is proved that this derivative is independent of the crack path provided that we consider quite smooth crack propagation shapes. An estimate for the derivative of the energy functional being uniform with respect to the crack propagation shape is derived.
Original language | English |
---|---|
Pages (from-to) | 318-329 |
Number of pages | 12 |
Journal | Zeitschrift fur Angewandte Mathematik und Physik |
Volume | 55 |
Issue number | 2 |
DOIs | |
State | Published - Mar 2004 |
Keywords
- Crack propagation
- Fracture mechanics
- Griffith criterion
- Linear elasticity
- Shape dependence