Mathematical Modelling and Analysis of Lamb Waves in Elasto-Thermodiffusive Plates

作     者：J.N.Sharma P.K.Sharma 

作者机构：Department of Applied SciencesNational Institute of TechnologyHamirpur 177005India Department of MathematicsSL Bawa Dayanand Anglo Vedic CollegeBatala 143505India 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2010年第2卷第2期

页      面：238-258页

核心收录：

学科分类：07[理学] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 070101[理学-基础数学] 

主　　题：Diffusion Cardano method relative frequency thermal relaxation iteration method 

摘      要：The propagation characteristics of elasto-thermodiffusive Lamb waves in a homogenous isotropic,thermodiffusive,elastic plate have been investigated in the context of linear theory of generalized *** developing the formal solution of the mathematical model consisting of partial differential equations,the secular equations have been derived by using relevant boundary conditions prevailing at the surfaces of the plate for symmetric and asymmetric wave modes in completely separate *** secular equations for long wavelength and short wavelength waves have also been deduced and *** amplitudes of displacement components,temperature change and mass concentration under the Lamb wave propagation conditions have also been *** complex transcendental secular equations have been solved by using a hybrid numerical technique consisting of irreducible Cardano method along with function iteration technique after splitting these in a system of real transcendental *** numerically simulated results in respect of phase velocity,attenuation coefficient,specific loss factor and relative frequency shift of thermoelastic diffusive waves have been presented graphically in the case of brass material.