A model for the propagation of strain solitary waves in solids with relaxing atomic defects

Abstract

A model for the propagation of nonlinear dispersive one-dimensional longitudinal strain waves in an isotropic solid with quadratic nonlinearity of elastic continuum is proposed by taking into account the interaction of the longitudinal displacements with the temperature field and the field of concentration of nonequilibrium (recombining) atomic point defects (vacancies and interstitial atoms). The governing nonlinear equation describing the evolution of the self-consistent strain fields is derived. It is shown that the thermoelastic effect on the strain waves manifests itself in the appearance of dissipative terms, which describe the heat transfer and the thermoelastic interaction caused by the strain-induced heat release due to the recombination of atomic defects. The equation that describes the evolution of the amplitude of nonlinear traveling localized waves with time in the single-wave approximation is derived, and on the basis of this equation, the damping increments of these waves are determined with allowance the dissipative losses. The influence of stress-induced decay of defect complexes on the evolution of nonlinear strain waves is considered.

On the diffusion-strain coupling and dispersion of surface waves in transversely isotropic laser-excited solids

“…The theory of mechanical waves coupled to atomic defect dynamics and including thermal change effects in solids under the action of laser pulses has been considered by Mirzade [10] and Bargmann and Favata [11]. Some features of the physical problems coupling diffusion, mechanics and thermal waves in geometrically linear and nonlinear solids has been studied in Refs.…”

Size Effects on Surface Elastic Waves in a Semi-Infinite Medium with Atomic Defect Generation

“…During the last decades elastic wave propagation in solids (metals and semiconductors) with nonequilibrium atomic defects has received a lot of attention [1][2][3][4]. Various types of lattice defects (vacancies and interstitials), produced from the lattice site atoms due to intense external energy fluxes (laser and corpuscular radiations), introduce a significant strain of the medium as a result of the difference between the radii of lattice atoms and defects [5] and play an important role in surface modification of solids exposed to laser radiation [1,5,6].…”

“…In these studies, attention was also focused on the study of an influence of the straininduced diffusion, generation, and annihilation of defects on the propagation characteristics of strain waves. In both [1][2][3][4] and [7][8][9][10] the analysis was based on coupled evolution equations for the atomic defect density fields and the classical local elasticity equations for the elastic displacement of the medium.…”

Surface wave propagation in an elastic laser‐excited half‐space with small‐scale effects

“…During the past several years, the characteristics of the vibration and wave propagation in elastic solids (semiconductors and metals) with non‐equilibrium atomic defects have been received a lot of attention . Various structural imperfections in the crystal lattice, i.e ., point atomic defects, which are produced from the lattice site atoms due to pulsed laser beam introduce a significant strain of the medium as a result of the difference between the radii of lattice atoms and defects , and play an important role in surface modification of solids exposed to laser radiation .…”

“…In Refs. the analysis was based on coupled evolution equations for the atomic defect concentration fields and the classical local elasticity equations for the elastic displacement of the medium.…”