In a recent paper [7] we interpreted configurational forces as necessary and sufficient dissipative mechanisms such that the corresponding Euler-Lagrange equations are satisfied. We now extend this argument for a dynamic elastic medium, and show that the energy flux obtained from the dynamic J integral ensures that the equations of motion hold throughout the body.

Solutions of the system of dynamical equations of state and equations of the balance of mass and momentum are studied. The system possesses families of periodic, quasiperiodic and soliton-like invariant solutions. Self-similar solutions of this generalized hydrodynamic system are studied. Various complicated regimes, arising as a result with terms desribing relaxing and dissipative properties o...

The phase velocity of plane waves propagating in an isotropic chiral medium can be simultaneously positive for left–circularly polarized light and negative for right–circularly polarized light (or vice versa). The constitutive parameter regimes supporting this phenomenon are established for nondissipative and dissipative mediums. The boundary between positive and negative phase velocity is char...

The possibility of the formation dissipative unipolar soliton pulses in an amplifying medium Raman-active molecules has been analyzed. It shown that such is possible under mutual compensation Raman enhancement and irreversible losses caused by fast relaxation system electron optical transitions. Since nonlinear, threshold duration energy a soliton-like object being formed are determined paramet...

The paper discuses the effect of initial stresses on the reflection coefficients of plane waves in a dissipative medium. Basic governing equations are formulated in context of Biot's incremental deformation theory. These governing equations are solved analytically to obtain the dimensional phase velocities of plane waves propagating in plane of symmetry. Closed-form expressions for the reflecti...