Plane wave propagation in a fiber-reinforced thermoelastic rotating medium with variable thermal conductivity under modified Green-Lindsay model

被引:1
作者
Kalkal, Kapil Kumar [1 ]
Kumar, Sunil [2 ]
Kadian, Aarti [1 ]
机构
[1] Guru Jambheshwar Univ Sci & Technol, Dept Math, Hisar, Haryana, India
[2] BPSMV, Dept Basic & Appl Sci, Khanpur Kalan Sonepat, India
关键词
Reflection; fiber-reinforcement; rotation; variable thermal conductivity; energy ratios; FRACTIONAL ORDER THEORY; HALF-SPACE; PLATE;
D O I
10.1080/17455030.2022.2137738
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The present investigation is concerned with the reflection of thermoelastic plane waves in an anisotropic, rotating, fiber-reinforced medium having variable thermal conductivity. Modified Green-Lindsay theory (MGL) is used to formulate the problem. It is shown that there exist three kinds of coupled quasi-waves, namely, qP(1) (quasi longitudinal displacement), qP(2) (quasi thermal) and qP(3) (quasi transverse displacement). Using appropriate boundary conditions, the reflection coefficients, phase velocities and energy ratios of these reflected waves have been calculated numerically and shown graphically to exhibit the effects of rotational and fiber-reinforcement parameters. The characteristics of MGL model are discussed by comparing the numerical results procured for the present model with those procured in the case of Green-Lindsay (GL) model. It has been shown that during reflection phenomenon, the sum of energy ratios is equal to unity at each angle of the incident.
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页数:21
相关论文
共 35 条
[1]   A two-dimensional problem for a fibre-reinforced anisotropic thermoelastic half-space with energy dissipation [J].
Abbas, Ibrahim A. .
SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 2011, 36 (03) :411-423
[2]   Nonlocal thermoelastic semi-infinite medium with variable thermal conductivity due to a laser short-pulse [J].
Abouelregal, A. E. ;
Zenkour, A. M. .
JOURNAL OF COMPUTATIONAL APPLIED MECHANICS, 2019, 50 (01) :90-98
[3]  
Achenbach JD., 2005, Wave propagation in elastic solids
[4]   STRESS IN ELASTIC PLATES REINFORCED BY FIBERS LYING IN CONCENTRIC CIRCLES [J].
BELFIELD, AJ ;
ROGERS, TG ;
SPENCER, AJM .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1983, 31 (01) :25-54
[5]   Plane wave propagation in a fiber-reinforced diffusive magneto-thermoelastic half space with two-temperature [J].
Deswal, Sunita ;
Kumar, Sunil ;
Jain, Kavita .
WAVES IN RANDOM AND COMPLEX MEDIA, 2022, 32 (01) :43-65
[6]   Reflection at the free surface of fiber-reinforced thermoelastic rotating medium with two-temperature and phase-lag [J].
Deswal, Sunita ;
Sheokand, Suresh Kumar ;
Kalkal, Kapil Kumar .
APPLIED MATHEMATICAL MODELLING, 2019, 65 :106-119
[7]  
Green A.E., 1972, J. Elasticity, V2, P17, DOI [10.1007/BF00045689, DOI 10.1007/BF00045689, DOI 10.1093/QJMAM/25.1.1]
[8]   ON UNDAMPED HEAT WAVES IN AN ELASTIC SOLID [J].
GREEN, AE ;
NAGHDI, PM .
JOURNAL OF THERMAL STRESSES, 1992, 15 (02) :253-264
[9]   THERMOELASTICITY WITHOUT ENERGY-DISSIPATION [J].
GREEN, AE ;
NAGHDI, PM .
JOURNAL OF ELASTICITY, 1993, 31 (03) :189-208
[10]   A REEXAMINATION OF THE BASIC POSTULATES OF THERMOMECHANICS [J].
GREEN, AE ;
NAGHDI, PM .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1991, 432 (1885) :171-194