A novel photothermal excitation cracked medium in gravitational field with two-temperature and hydrostatic initial stress. Issue 2 (3rd April 2019)

• Record Type: Journal Article
• Authors: Lotfy, Kh.; Gabr, M.; Hassan, W.
• Is Part Of: Waves in random and complex media. Volume 29:Issue 2(2019)
• Page Start: 344
• Page End: 367
• Publication Date: 2019-04-03
• Subjects: Electromagnetic waves -- Periodicals; Electromagnetic waves -- Scattering -- Periodicals; 531.1133
• DOI: 10.1080/17455030.2018.1435925
• Languages: English
• ISSNs: 1745-5030

Abstract

ABSTRACT: A 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.