Fundamental solution of steady oscillations in thermoelastic medium with voids

被引:11
作者
Biswas, Siddhartha [1 ]
机构
[1] Univ North Bengal, Dept Math, Darjeeling, India
关键词
Fundamental solution; plane waves; steady oscillations; voids; three-phase-lag model; LINEAR ELASTIC-MATERIALS; PLANE-WAVES; MICROPOLAR THERMOELASTICITY; PROPAGATION; EQUATIONS;
D O I
10.1080/17455030.2018.1557759
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The article deals with the study of plane wave propagation in the thermoelastic medium in the presence of voids. The problem is considered in the context of three-phase-lag model of generalized thermoelasticity. There exists three longitudinal waves, namely elastic (E-mode), thermal (T-mode) and volume fraction (V-mode) in addition to transverse waves which get decoupled from the rest of motion and not affected by thermal and volume fraction fields. The fundamental solution of the system of differential equations in case of steady oscillations in terms of the elementary functions has been constructed. The phase velocity and attenuation coefficient of these waves are computed numerically and presented graphically.
引用
收藏
页码:759 / 775
页数:17
相关论文
共 35 条
[1]   THERMOELASTICITY AND IRREVERSIBLE THERMODYNAMICS [J].
BIOT, MA .
JOURNAL OF APPLIED PHYSICS, 1956, 27 (03) :240-253
[2]   Construction of Porous Organic Nanostructures Using Cooperative Self-Assembly for Lipase-Catalyzed Inclusion of Gastrodigenin [J].
Biswas, Sagar ;
Jadhav, Rohit G. ;
Das, Apurba K. .
ACS APPLIED NANO MATERIALS, 2018, 1 (01) :175-182
[3]   Effect of phase-lags on Rayleigh wave propagation in initially stressed magneto-thermoelastic orthotropic medium [J].
Biswas, Siddhartha ;
Abo-Dahab, S. M. .
APPLIED MATHEMATICAL MODELLING, 2018, 59 :713-727
[4]  
Chandrasekharaiah D. S., 1986, Thermoelasticity with second sound: a review, DOI [DOI 10.1115/1.3143705, 10.1115/1.3143705]
[5]  
Chandrasekharaiah DS., 1998, APPL MECH REV, V51, P705, DOI DOI 10.1115/1.3098984
[6]   On a thermoelastic three-phase-lag model [J].
Choudhuri, S. K. Roy .
JOURNAL OF THERMAL STRESSES, 2007, 30 (03) :231-238
[7]   SOME RESULTS ON THERMOELASTICITY FOR DIELECTRIC MATERIALS WITH VOIDS [J].
CIARLETTA, M ;
SCARPETTA, E .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1995, 75 (09) :707-714
[8]   ON THE NONLINEAR-THEORY OF NONSIMPLE THERMOELASTIC MATERIALS WITH VOIDS [J].
CIARLETTA, M ;
SCALIA, A .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1993, 73 (02) :67-75
[9]   Fundamental solution in the theory of micropolar thermoelasticity for materials with voids [J].
Ciarletta, Michele ;
Scatia, Antonio ;
Svanadze, Merab .
JOURNAL OF THERMAL STRESSES, 2007, 30 (03) :213-229
[10]  
COWIN SC, 1983, J ELASTICITY, V13, P125, DOI 10.1007/BF00041230