The paper is devoted to evolving discontinuities in elastic solids. A discontinuity is represented as a singular set of material points. Evolution of a discontinuity is driven by the configurational force acting at such a set. The main attention is paid to the determination of the velocity of a propagating discontinuity. Martensitic phase transition fronts and brittle cracks are considered as representative examples.
Mathematics and Mechanics of Solids
Scholarly Commons Citation
Berezovski, A., & Berezovski, M. (2020). Dynamics of Discontinuities in Elastic Solids. Mathematics and Mechanics of Solids, 25(7). https://doi.org/10.1177/1081286517718603
Mechanics of Materials Commons, Numerical Analysis and Computation Commons, Partial Differential Equations Commons
In memory of Professor Gérard A. Maugin