Effect of Nonlocality and Internal Heat Source on an Initially Stressed Thermoelastic Medium Under MGL Model

被引:0
作者
Yadav, Komal [1 ]
Sheoran, Devender [1 ]
Sangwan, Monika [2 ]
Kalkal, Kapil Kumar [1 ]
机构
[1] Guru Jambheshwar Univ Sci & Technol, Dept Math, Hisar 125001, Haryana, India
[2] Maharshi Dayanand Univ, Dept Math, Rohtak 124001, Haryana, India
关键词
Modified Green-Lindsay model; Nonlocal thermoelasticity; Initial stress; Internal heat source; Normal mode technique; HALF-SPACE; PROPAGATION; WAVES;
D O I
10.1007/s42417-023-01265-0
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
PurposeThe current manuscript is devoted to scrutinize the effects of nonlocal parameter, internal heat source, and initial stress on the interactions caused by a moving thermal load in a generalized thermoelastic solid half-space.MethodsThe medium is assumed to be initially stressed and has uniform temperature. The problem has been modeled by employing the modified Green-Lindsay theory to carry out the investigation.The governing equations are handled with an analytical-numerical technique based on normal mode. In this technique, one gets exact solution without any assumed restrictions on the field variables. The normal mode technique is applicable to a wide range of problems in thermodynamics and thermoelasticity.Results and ConclusionsExpressions for displacement, stresses, and temperature in the physical domain are obtained. The problem is illustrated by computing the numerical values of the field variables for a copper like material. Comparisons of the physical quantities are shown in figures to study the effects of nonlocal parameter, internal heat source, initial stress, and velocity of the thermal load. Some particular cases of interest have also been inferred from the present problem.Originality/ValueIn this article, we have investigated the effects of nonlocal parameter, internal heat source, initial stress, and velocity of the thermal load on the thermoelastic medium. Although various investigations do exist to observe the disturbances in a thermoelastic medium under the effects of different parameters, but the work in its present form, i.e., the disturbances in a thermoelastic medium in the presence of initial stress, nonlocal effect, and internal heat source under modified Green-Lindsay model have not been studied till now. The present work is useful and valuable for the analysis of problems at nanoscale level involving moving heat source, initial stress, and elastic deformation.
引用
收藏
页码:6481 / 6497
页数:17
相关论文
共 42 条
[1]   A GN model for thermoelastic interaction in a microscale beam subjected to a moving heat source [J].
Abbas, Ibrahim A. .
ACTA MECHANICA, 2015, 226 (08) :2527-2536
[2]   A Phase Delay Thermoelastic Model with Higher Derivatives and Two Temperatures for the Hall Current Effect on a Micropolar Rotating Material [J].
Abouelregal, Ahmed E. ;
Moaaz, Osama ;
Khalil, Khalil M. ;
Abouhawwash, Mohamed ;
Nasr, Mohamed E. .
JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES, 2024, 12 (02) :1381-1397
[3]   Effect of magnetic field and initial stress on the propagation of interface waves in transversely isotropic perfectly conducting media [J].
Acharya, D. P. ;
Roy, I. ;
Sengupta, S. .
ACTA MECHANICA, 2009, 202 (1-4) :35-45
[4]  
Alharbi AM., 2021, PMM-J APPL MATH MEC, V101, pe202000185
[5]   THERMOELASTICITY AND IRREVERSIBLE THERMODYNAMICS [J].
BIOT, MA .
JOURNAL OF APPLIED PHYSICS, 1956, 27 (03) :240-253
[6]  
CATTANEO C, 1958, CR HEBD ACAD SCI, V247, P431
[7]   Wave propagation in anisotropic media with non-local elasticity [J].
Chakraborty, A. .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2007, 44 (17) :5723-5741
[8]  
Chakravorty S., 1998, INT J MATH MATH SCI, V21, P595, DOI DOI 10.1155/S0161171298000829
[9]   A geometrically nonlinear size-dependent hypothesis for porous functionally graded micro-plate [J].
Cuong Le Thanh ;
Trong Nghia Nguyen ;
Truong Huu Vu ;
Khatir, Samir ;
Wahab, Magd Abdel .
ENGINEERING WITH COMPUTERS, 2022, 38 (SUPPL 1) :449-460
[10]   Nonlocal strain gradient IGA numerical solution for static bending, free vibration and buckling of sigmoid FG sandwich nanoplate [J].
Cuong-Le, Thanh ;
Nguyen, Khuong D. D. ;
Hoang-Le, Minh ;
Sang-To, Thanh ;
Phan-Vu, Phuong ;
Magd, Abdel Wahab .
PHYSICA B-CONDENSED MATTER, 2022, 631