 | Analytical solutions |
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 | Converging Spherical Detonation Waves
Author : Rai, Arisudan
Source : Defence Science Journal ; Vol:48(2) ; 1998 ; pp 205-210
Subject : 620.261 Explosives
Keywords : Graphical form ;Analytical solutions;Spherical detonation waves
Abstract : The problem of converging spherical detonation waves propagating through a gas with varying density is discussed. By neglecting the effect of variation of Q on the similarity exponent, both analytical and numerical solutions for motion of the detonation front have been obtained and are presented in graphical form. |
| | Generalised Thermo Elasticity When the Material Coupling Parameter Equals Unity
Author : Murthy, D.Rama
Source : Defence Science Journal ; Vol:29(2) ; 1979 ; pp 63-70
Subject : 621 Mechanical Engineering
Keywords : Analytical solutions;Thermo-elasticity ;Laplace transform;Relaxation constant
Abstract : Analytical solutions of three problems using the theory of generalised thermo-elasticity are presented for the case when the material coupling parameter equals unity (lambda =1). The problems considered are (1) Constant velocity impact, (2) Daniloviskaya's problem, and (3) Step in strain. Solutions are presented for the case of thin bars (one dimensional stress) and are obtained using Laplace transform. There is a great simplification in the equations of generalised thermo-elasticity when the material coupling parameter equals unity, which permits the straight forward inversion of the transformed solutions. The solutions obtained are more general which includes the effect of relaxation time also. The important feature of this paper is that the solutions of coupled theory can be readily obtained simply by putting the relaxation constant equals to zero (Beta=0). |
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