{"id":3189,"date":"2026-04-10T11:27:34","date_gmt":"2026-04-10T03:27:34","guid":{"rendered":"https:\/\/iweb20wp-b205b.url.tku.edu.tw\/jase\/?post_type=tkuisotope&p=3189"},"modified":"2026-06-10T23:14:58","modified_gmt":"2026-06-10T15:14:58","slug":"wave-propagation-in-a-hygrothermoelastic-half-space-along-with-non-local-variable","status":"publish","type":"tkuisotope","link":"\/jase\/?tkuisotope=wave-propagation-in-a-hygrothermoelastic-half-space-along-with-non-local-variable","title":{"rendered":"Wave propagation in a hygrothermoelastic half-space along with non-local variable"},"content":{"rendered":"\n
\n
\n

<\/i> 2024<\/a><\/p>\n<\/div>\n\n\n\n

\n

<\/i> Volume 27, Issue 5<\/a><\/p>\n<\/div>\n\n\n\n

\n
\n
\n
\n

Vikas Sharma1,2<\/sup>, Praveen Ailawalia3<\/sup><\/i><\/a>, and Sunit Kumar3<\/sup><\/p>\n\n\n\n

1<\/sup>IKG Punjab Technical University, Kapurthala, Punjab-India<\/p>\n\n\n\n

2<\/sup>Department of Applied Sciences, Chandigarh Group of Colleges, Landran, Mohali-Punjab, INDIA<\/p>\n\n\n\n

3<\/sup>Department of Mathematics, University Institute of Sciences, Chandigarh University, Gharuan-Mohali, Punjab, INDIA<\/p>\n<\/div>\n\n\n\n

\n

Received:\u00a0December 16, 2022
Accepted:\u00a0February 13, 2023
Publication Date:\u00a0April 10, 2026<\/p>\n<\/div>\n<\/div>\n\n\n\n

\"\u4e0a\u50b3\u5716\u7247\"\n\n\n

Geometry of the problem.<\/p>\n<\/div>\n<\/div>\n\n\n\n

<\/i> Copyright <\/strong>The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0)<\/a>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.<\/p>\n\n\n\n

Download Citation:\u00a0 BibTeX <\/a>| http:\/\/dx.doi.org\/10.6180\/jase.202405_27(5).0001<\/a>\u00a0\u00a0<\/p>\n\n\n\n

Download PDF<\/a><\/p>\n\n\n\n

<\/div>\n\n\n\n

This particular work is an effort to investigate the propagation of wave in hygrothermoelastic medium in the light of Eringen\u2019s nonlocal theory of elasticity. The coupled wave equations in terms of displacement, temperature and moisture concentration are solved in an analytical way. The phase velocities of longitudinal displacement wave, transverse displacement wave, diffusion wave and thermal wave, under the influence of nonlocal variable, moisture concentration, and diffusion coefficient, in the medium are obtained analytically and presented graphically to show the effect of these parameters on the wave velocities.<\/p>\n\n\n\n

Keywords:\u00a0Wave propagation, Hygrothermoelastic, Nonlocal, normal mode analysis, Phase velocity, Diffusivity<\/em><\/p>\n\n\n\n

<\/div>\n\n\n\n
\n
    \n
  1. [1] A. C. Eringen, (1984) \u201cPlane waves in nonlocal micropolar elasticity” International Journal of Engineering Science 22(8-10): 1113\u20131121.<\/li>\n
  2. [2] A. C. Eringen and J. Wegner, (2003) \u201cNonlocal continuum field theories” Applied Mechanics Review 56(2): B20\u2013B12.<\/li>\n
  3. [3] A. Khurana and S. K. Tomar, (2013) \u201cReflection of plane longitudinal waves from the stress-free boundary of a nonlocal micropolar solid half-space” Journal of Mechanics of Materials and Structures 8(1): 95\u2013107.<\/li>\n
  4. [4] N. Sarkar and S. K. Tomar, (2019) \u201cPlane waves in nonlocal thermoelastic solid with voids” Journal of Thermal Stresses 42(5): 580\u2013606.<\/li>\n
  5. [5] B. Singh, (2021) \u201cRayleigh-type surface waves in a nonlocal thermoelastic solid half-space with void” Waves in Random Complex Media 31(9): 2103\u20132114.<\/li>\n
  6. [6] N. Sarkar, S. De, and N. Sarkar, (2019) \u201cWaves in nonlocal thermoelastic solids of type II” Journal of Thermal Stresses 42(9): 1153\u20131170.<\/li>\n
  7. [7] S. Biswas, (2020) \u201cFundamental solution of steady oscillations equations in nonlocal thermoelastic medium with voids” Journal of Thermal Stresses 43(3): 284\u2013304.<\/li>\n
  8. [8] S. Mondal and N. Sarkar, (2019) \u201cWaves in dual-phaselag thermoelastic materials with voids based on Eringen\u2019s nonlocal elasticity” Journal of Thermal Stresses 42(8): 1035\u20131050.<\/li>\n
  9. [9] N. Das, S. De, and N. Sarkar, (2020) \u201cReflection of plane waves in generalized thermoelasticity of type III with nonlocal effect” Mathematical Methods in the Applied Sciences 43(3): 1313\u20131336.<\/li>\n
  10. [10] P. Lata, (2018) \u201cEffect of energy dissipation on plane waves in sandwiched layered thermoelastic medium” Steel and Composite Structures 27(4): 439\u2013451.<\/li>\n
  11. [11] P. Lata and I. Kaur, (2019) \u201cPlane wave propagation in transversely isotropic magneto-thermoelastic rotating medium with fractional order generalized heat transfer” Structural Monitoring and Maintenance-an International Journal 6(3): 191\u2013218.<\/li>\n
  12. [12] P. Lata and S. Singh, (2022) \u201cPlane wave propagation in a nonlocal magneto-thermoelastic solid with two temperature and Hall current” Waves in Random and Complex Media 32(4): 1820\u20131846.<\/li>\n
  13. [13] A. Szekeres, (2000) \u201cAnalogy between heat and moisture:Thermo-hygro-mechanical tailoring of composites by taking into account the second sound phenomenon” Computers and Structures 73(3): 145\u2013152.<\/li>\n
  14. [14] C. T. Davie, C. J. Pearce, and N. Bi\u00b4cani\u00b4c, (2012) \u201cCrosscoupled heat and moisture transport: part1-theory” Journal of Thermal Stresses 35(1-3): 248\u2013268.<\/li>\n
  15. [15] T. Gasch, R. Malm, and A. Ansell, (2016) \u201cA coupled hygro-thermo-mechanical model for concrete subjected to variable environmental condition” International Journal of Solids Structures 91: 143\u2013156.<\/li>\n
  16. [16] A. Szekers and B. J. Engel, (2000) \u201cCoupling of generalized heat and moisture transfer” Periodica Polytechnica Mechanical Engineering 44(1): 161\u2013170.<\/li>\n
  17. [17] G. M, J. F, M. J, and A. Vautrin, (2007) \u201cTransient and cyclical hygrothermoelastic stress in laminated composite plates modelling and experimental assessment” Mechanics of Materials 39(8): 729\u2013745.<\/li>\n
  18. [18] G. D and P. F, (2003) \u201cModelling of hygro-thermal behavior of concrete at high temperature with thermochemical and mechanical material degradation and Engineering” Computer methods in Applied Mechanics 192: 1731\u20131771.<\/li>\n
  19. [19] S. Raja, (2004) \u201cInfluence of active stiffening on the dynamic behavior of piezo-hygro-thermo-elastic composite plates and shells” Journal of Sound and Vibration 278(1-2): 257\u2013283.<\/li>\n
  20. [20] A. J and W. T. O, (2000) \u201cA coupled micromacromechanical analysis of hygrothermoelastic composites” International Journal of Solids and Structures 37(30): 4149\u20134179.<\/li>\n
  21. [21] R. V. V. S and S. P. K, (2004) \u201cDynamic response of multidirectional composites in hygrothermal environments” Composite Structures 64(3-4): 329\u2013338.<\/li>\n
  22. [22] S. Vlase, C. Nastac, M. Marin, and M. Mihalcica, (2017) \u201cA Method For The Study Of The Vibration Of Mechanical Bars Systems With Symmetries” Acta Technica Napocensis Series Applied Mathematics, Mechanics and Engineering 60(4): 539\u2013544.<\/li>\n
  23. [23] S. M. Hosseini, J. Sladek, and V. Sladek, (2013) \u201cApplication of meshless local integral equations to twodimensional analysis of coupled non-Fick diffusionelasticity” Engineering Analysis with Boundary Elements 37(3): 603\u2013615.<\/li>\n
  24. [24] A. Montanaro, (1999) \u201cOn singular surfaces in isotropic linear thermoelasticity with initial stress” The Journal of the Acoustical Society of America 106(3): 1586\u20131588.<\/li>\n
  25. [25] P. Ailawalia, D. Gupta, and V. Sharma, (2022) \u201cSurface waves in hygrothermoelastic half-space with hydrostatic initial stress” Mechanics of Advanced Materials and Structures 29(16): 2380\u20132389.<\/li>\n
  26. [26] W. J. Chang and C. I. Weng, (2000) \u201cAn analytical solution to coupled heat and moisture diffusion transfer in porous materials” International Journal of Heat and Mass Transfer 43(19): 3621\u20133632.<\/li>\n
  27. [27] Y. C. Yang, C. Shao-Shu, L. Haw-Long, and L. ShuLin, (2006) \u201cHybrid numerical method applied to transient hygrothermal analysis in an annular cylinder” International communications in Heat and Mass Transfer 33(1): 102\u2013111.<\/li>\n<\/ol>\n<\/div>\n\n\n\n

    <\/p>\n","protected":false},"author":3,"template":"wp-custom-template-detail-4-aricles","meta":{"_uag_custom_page_level_css":""},"categories":[10,6,519],"tags":[587],"acf":[],"uagb_featured_image_src":[],"uagb_author_info":{"display_name":"\u6797\u923a\u6db5","author_link":"\/jase\/?author=3"},"uagb_comment_info":0,"uagb_excerpt":" Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited. Download Citation:\u00a0 BibTeX | http:\/\/dx.doi.org\/10.6180\/jase.202405_27(5).0001\u00a0\u00a0 Download PDF This particular work is an effort to investigate the propagation of…","_links":{"self":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/tkuisotope\/3189"}],"collection":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/tkuisotope"}],"about":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/types\/tkuisotope"}],"author":[{"embeddable":true,"href":"\/jase\/index.php?rest_route=\/wp\/v2\/users\/3"}],"wp:attachment":[{"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3189"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3189"},{"taxonomy":"post_tag","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3189"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}