Recent developments in the field of thermally induced waves and vibrations

State-space approach of two-temperature generalized thermoelasticity of infinite body with a spherical cavity subjected to different types of thermal loading

“…which can supply heat pulses with a very fast time-rise Bargmann [8], Anisimov et al [2], Boley [9], Qiu and Tien [29], Tzou [37], Chen et al [17]; generalized thermoelasticity theory is receiving serious attention from different researchers. The development of the second sound effect has been reviewed by Chandrasekhariah [12].…”

Problem of generalized thermoelastic infinite medium with cylindrical cavity subjected to a ramp-type heating and loading

“…In heat transfer problems involving very short time intervals and/or very high heat fluxes, it has been revealed that the inclusion of the second sound effects to the original theory yields results, which are realistic and very much different from those obtained with classical theory of elasticity. Due to the advancement of pulsed lasers, fast burst nuclear reactors, and particle accelerators, etc., which can supply heat pulses with a very fast time rise [4,5], GTE theory is receiving serious attention from different researchers. The development of the second sound effect has been nicely reviewed by Chandrasekhariah [6].…”

Theory of Thermoelasticity

“…If we note IJIJ i, ( 9 1R,1 -9 1R•1) ^l ^RI 8• (3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15) then it follows from (3.13) and (3.14) that …”

“…Obviously, the equation (14.14) may also be written in the following way ( TKL .ri, L),K Poft = Po ii, (14)(15) In the linear theory of deformation the tensions are of the same order of magnitude and displacement. In this case we followed the convention of using a single system of coordinates and have shown that from (2.6), (4.3), (4.5) it follows…”