A novel photothermal excitation cracked medium in gravitational field with two-temperature and hydrostatic initial stress

Abstract

ABSTRACTA New Approach model for a theory of two temperature with finite linear opening Mode-I crack inside a semi-infinite semiconducting medium is presented. The mechanical force influence during the photothermal process with the influence of gravity and hydrostatic initial stress in two dimensions are used. The transient compressive stress wave travels along the crack from the loading region to the crack face. Using mathematical methods under the purview of different three theories (Lord–Şhulman (LS) includes one relaxation time, Green–Lindsay (GL) includes two relaxation times, and the classical dynamical coupled theory (CD)). The exact expression of the physical quantities and the two temperature coefficient ratios are obtained analytically using the harmonic wave technique and illustrated graphically. Comparisons between the results of the three theories are also introduced.