Phase-field models for crack propagation enable the simulation of complex crack patterns without complex and expensive tracking and remeshing as cracks grow. In the setting without inertia, the crack evolution is obtained from a variational energetic starting point, and leads to an equation for the order parameter coupled to elastostatics. Careful mathematical analysis has shown that this is co...

Abstract A novel mixed framework and energy‐momentum consistent integration scheme in the field of coupled nonlinear thermo‐electro‐elastodynamics is proposed. The environment primarily based on a for elastodynamics case polyconvex strain energy functions. For this elastodynamic framework, properties so‐called tensor cross product are exploited to derive formulation via Hu‐Washizu type extensio...

– The exact elastodynamic scattering theory is constructed to describe the spectral properties of twoand morecylindrical cavity systems, and compared to an elastodynamic generalization of the semi-classical Gutzwiller unstable periodic orbits formulas. In contrast to quantum mechanics, complex periodic orbits associated with the surface Rayleigh waves dominate the low-frequency spectrum, and al...