On the self-organization of coupled temperature-strain surface periodic structures on an anisotropic laser-excited half space

In this paper, we consider theory of self-organization of periodic coupled temperature and strain (TS) fields on surfaces of anisotropic (transversely isotropic) solids irradiated by laser pulses. Laser-induced thermal field is treated as consisting of "atomic point defects" of a crystalline lattice - thermal phonons. The self-organization of TS structures occurs due to strain-thermal instability associated with a strain-induced flux of thermal phonons. Using the non-local forms of constitutive equations, a synergetic model of the process is formulated and substantiated, based on self-consistent dynamic equations for temperature and atomic displacements fields of the elastic continuum. Dispersion equation for instability is obtained and analyzed. It is observed that the length of non-local defect-atom interaction has a significant effect on the characteristics (growth rate, period) emerging strain-temperature surface structures. The period of these structures is proportional to the intrinsic length parameter and has a nanometer scale.