– 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...

In this paper, we prove the local well-posedness of free boundary problem in incompressible elastodynamics under a mixed type stability condition, i.e., for each point boundary, at ...

The existence of a Brewster wave number is demonstrated for the case of plane-wave reflection by a specularly smooth, planar interface joining two homogeneous, linearly elastic, isotropic solid half-spaces. Such a wave number is numerically shown to exist for two material combinations: steel-aluminum and steel-brass. The wave number can be such that plane waves are either propagating or evanesc...

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...

Recent observations on the dynamics of crack and fault rupture are described, together with related theory and simulations in the framework of continuum elastodynamics. Topics include con gurational instabilities of tensile crack fronts (crack front waves, disordering, sidebranching), the connection between frictional slip laws and modes of rupture propagation in earth faulting, especially cond...

A classic problem in elastodynamics is the diffraction of time-harmonic stress waves by a pennyshaped crack. It is also a benchmark problem, in that it is the simplest three-dimensional problem for bounded cracks. What happens if the flat circular crack is perturbed? This question motivates the present paper. Recent work is discussed, in which a perturbation theory is developed, based on the go...