On the dynamic propagation of cracks (Q1314134)

The universal approach to problems of the stability and quasistatic growth of cracks in solids during cyclic loading and loading which slowly varies with time is generalized to dynamic crack propagation processes. The general equation of d'Alembert-Lagrange dynamics for systems with two groups of generalized coordinates, Griffiths coordinates and Lagrange coordinates, serves as the starting point. A system of equations is obtained which enables one to describe the dynamical behaviour of bodies with cracks for fixed crack parameters, the dynamic propagation of cracks and also the transition of a body with a cracks-load system from one state to another.