Conservation laws for multiphase fracturing materials
Abstract
A defect is simulated as an abrupt change of elastic properties in the material and the conservation laws, discovered by Knowles and Sternberg, are deduced and extended on the basis of a general formula for the dissipation, associated with the propagation of elastic phase transition fronts, recently contributed. Moreover, by removing the assumptions of a homogeneous elastic medium, under homogeneous anelastic deformation and no body forces, further invariance conditions, suitable for the evaluation of the dissipation associated with an evolving defect, are provided.
Fields of Study & Subjects
Elasticity and Wave Propagation
Shape Memory Alloy Transformations
Fatigue and fracture mechanics
Publication details
- Journal / source
- CRC Press eBooks
- Pages
- 411–418
- Publication date
- 4 February 2026
- Language
- EN
- Document type
- Book chapter