The propagation of plane waves in nonlocal visco-thermoelastic porous medium based on nonlocal strain gradient theory

被引：29
作者：
Biswas, Siddhartha [1 ]
机构：
[1] Univ North Bengal, Dept Math, Darjeeling, India
来源：
WAVES IN RANDOM AND COMPLEX MEDIA | 2021年
关键词：
Plane waves; steady oscillations; voids; visco-thermoelasticity; nonlocal strain gradient theory; FUNDAMENTAL SOLUTION; MIXTURE;
D O I：
10.1080/17455030.2021.1909780
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The present paper deals with propagation of plane harmonic waves in nonlocal visco-thermoelastic porous medium based on the nonlocal strain gradient theory. For the first time, the assumptions of Green-Naghdi model type III of hyperbolic thermoelasticity with voids in conjunction with nonlocal strain gradient theory are taken into account in formulation of the problem. The constitutive relations and field equations for nonlocal thermoelastic materials with voids are presented. In addition to transverse waves, three longitudinal waves (elastic, thermal, volume fraction) can be observed. The fundamental solution to equations for steady oscillations is derived. The effects of nonlocal length scale parameter, voids, viscosity on phase velocities, attenuation coefficients and penetration depths of waves with diverse frequencies are comprehensively studied and graphically presented.
引用
收藏
页码：372 / 403
页数：32
相关论文
共 59 条
[1]   Propagation of Rayleigh surface waves with small wavelengths in nonlocal visco-elastic solids [J].
Acharya, DP ;
Mondal, A .
SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 2002, 27 (6) :605-612
[2]  
Altan BS., 1984, B TECH U ISTANB, V37, P177
[3]   Nonlocal theory of thermoelastic materials with voids and fractional derivative heat transfer [J].
Bachher, Mitali ;
Sarkar, Nantu .
WAVES IN RANDOM AND COMPLEX MEDIA, 2019, 29 (04) :595-613
[4]   THERMOELASTICITY AND IRREVERSIBLE THERMODYNAMICS [J].
BIOT, MA .
JOURNAL OF APPLIED PHYSICS, 1956, 27 (03) :240-253
[5]   Fundamental solution of the steady oscillations equations in porous thermoelastic medium with dual-phase-lag model [J].
Biswas, Siddhartha ;
Sarkar, Nantu .
MECHANICS OF MATERIALS, 2018, 126 :140-147
[6]   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
[7]   DISCONTINUITY WAVES THROUGH A LINEAR THERMOVISCOELASTIC SOLID OF INTEGRAL TYPE [J].
BORRELLI, A ;
PATRIA, MC .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1991, 26 (02) :141-150
[8]  
Chandrasekharaiah D. S., 1986, APPL MECH REV, V39, P355, DOI DOI 10.1115/1.3143705
[9]  
Chandrasekharaiah DS., 1998, APPL MECH REV, V51, P705, DOI [10.1115/1.3098984, DOI 10.1115/1.3098984]
[10]  
Christensen R.M., 1971, THEORY VISCOELASTICI
123456