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11-12-2018 | Technical Paper

Thermo-mechanical interactions in a magneto-thermoelastic solid with microtemperatures and diffusion

Authors: Kapil Kumar Kalkal, Reetika Goyal, Sunita Deswal

Published in: Microsystem Technologies | Issue 10/2019

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Abstract

The current manuscript is an attempt to investigate the disturbances in a two dimensional isotropic, homogeneous, magneto-thermo-elastic diffusive material with microtemperatures. The formulation is subjected to a mechanical load. Normal mode analysis is applied to obtain the exact solution of the problem. The expressions for different field variables such as displacement, stresses, temperature, microtemperature and concentration are obtained in the physical domain. Numerical results are carried out for a specific material. Obtained results are compared with the existing models for verification and represented graphically using MATLAB software. Some comparisons are made to show the effects of magnetic field, diffusion parameter and time on the resulting quantities. The effects of these parameters under the consideration of present medium have not been appeared in the literature so far. The results depict that the effects of magnetic field, diffusion parameter and time on the field variables are very pronounced.

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Abo-Dahab SM, Abd-Alla AM, Kilany AA (2018) Effect of rotation and gravity on the reflection of P-waves from thermo-magneto-microstretch medium in the context of three phase lag model with initial stress. Microsyst Technol 24:3357–3369CrossRef

Ailawalia P, Budhiraja S, Singh J (2018) Two dimensional deformation in a thermoelastic solid with microtemperatures subjected to an internal heat source. Int J Appl Mech Eng 23:5–21CrossRef

Aouadi M, Ciarletta M, Tibullo V (2016) A thermoelastic diffusion theory with microtemperatures and microconcentrations. J Therm Stress 40:486–501CrossRef

Aouadi M, Ciarletta M, Passarella F (2017) Thermoelastic theory with microtemperatures and dissipative thermodynamics. J Therm Stress 41:522–542CrossRef

Casas PS, Quintanilla R (2005) Exponential stability in thermoelasticity with microtemperatures. Int J Eng Sci 43:33–47MathSciNetCrossRefMATH

Chadwick P (1957) Elastic wave propagation in a magnetic field. Proc Int Cong Appl Mech 7:143–153

Choudhary S, Kumar S, Sikka JS (2017) Thermomechanical interactions in a fractional order generalized thermoelastic solid with diffusion. Microsyst Technol 23:5435–5446CrossRef

Deswal S, Sheoran S, Kalkal KK (2013) The effect of magnetic field and initial stress on fractional order generalized thermoelastic half-space. J Math 2013:1–11MathSciNetCrossRefMATH

Ezzat MA (1997) Generation of generalized magnetothermoelastic waves by thermal shock in a perfectly conducting half-space. J Therm Stress 20:617–633CrossRef

Grot R (1969) Thermodynamics of a continuum with microstructure. Int J Eng Sci 7:801–814CrossRefMATH

Hendy MH, Amin MM, Ezzat MA (2017) Magneto-electric interactions without energy dissipation for a fractional thermoelastic spherical cavity. Microsyst Technol 24:2895–2903CrossRef

Iesan D (2001) On a theory of micromorphic elastic solids with microtemperatures. J Therm Stress 24:737–752MathSciNetCrossRef

Iesan D (2007) Thermoelasticity of bodies with microstructure and microtemperatures. Int J Solids Struct 44:8648–8662CrossRefMATH

Iesan D, Quintanilla R (2000) On a theory of thermoelasticity with microtemperatures. J Therm Stress 23:199–215MathSciNetCrossRef

Iesan D, Quintanilla R (2009) On thermoelastic bodies with inner structure and microtemperatures. J Math Anal Appl 354:12–23MathSciNetCrossRefMATH

Kaliski S, Petykiewicz J (1959) Equation of motion coupled with the field of temperature in a magnetic field involving mechanical and electrical relaxation for anisotropic bodies. Proc Vib Prob 4:1–12MATH

Kalkal KK, Sheokand SK, Deswal S (2018) Two-dimensional problem of a fiber-reinforced thermo-diffusive half-space with four relaxation times. Mech Time Depend Mater. https://doi.org/10.1007/s11043-018-9399-7

Kalkal KK, Deswal S (2014) Generation of magneto-thermodiffusive plane waves in solids due to mechanical load. Int J Comput Methods Eng Sci Mech 15:322–329MathSciNetCrossRef

Knopoff L (1955) The interaction between elastic wave motion and a magnetic field in electrical conductors. J Geophys Res 60:441–456CrossRef

Kumar R, Kaushal S, Marin M (2018) Propagation of waves in micropolar thermodiffusion elastic half-space. Afr Mat 29:451–462MathSciNetCrossRefMATH

Lotfy K, Kumar R, Hassan W, Gabr M (2018) Thermomagnetic effect with microtemperature in a semiconducting photothermal excitation medium. Appl Math Mech Engl Ed 39:783–796MathSciNetCrossRefMATH

Nowacki W (1974a) Dynamical problems of thermodiffusion in solids I. Bull Pol Acad Sci Ser Sci Tech 22:55–64MathSciNetMATH

Nowacki W (1974b) Dynamical problems of thermodiffusion in solids II. Bull Pol Acad Sci Ser Sci Tech 22:129–135MathSciNetMATH

Nowacki W (1974c) Dynamical problems of thermodiffusion in solids III. Bull Pol Acad Sci Ser Sci Tech 22:257–266MathSciNetMATH

Othman MIA, Abd-Elaziz EM (2017) Plane waves in a magneto-thermoelastic solids with voids and microtemperatures due to Hall current and rotation. Res Phys 7:4253–4263

Othman MIA, Eraki EEM (2016) Generalized magneto-thermoelastic half- space with diffusion under initial stress using three-phase-lag model. Mech Based Des Struct Mach 45:145–159CrossRef

Othman MIA, Eraki EEM (2018) Effect of gravity on generalized thermoelastic diffusion due to laser pulse using dual-phase-lag model. Mult Model Mater Struct 14:457–481CrossRef

Othman MIA, Said SM (2018) Effect of diffusion and internal heat source on a two-temperature thermoelastic medium with three-phase-lag model. Arch Thermodyn 39:15–39

Othman MIA, Atwa SY, Farouk RM (2009) The effect of diffusion on two-dimensional problem of generalized thermoelasticity with Green-Naghdi theory. Int Commun Heat Mass Transf 36:857–864CrossRef

Othman MIA, Tantawi RS, Abd-Elaziz EM (2016a) Effect of initial stress on a thermoelastic medium with voids and microtemperatures. J Porous Media 19:155–172CrossRef

Othman MIA, Tantawi RS, Hilal MIM (2016b) Effect of initial stress and gravity field on micropolar thermoelastic solid with microtemperatures. J Theor Appl Mech 54:847–857CrossRef

Paria G (1962) On magneto-thermoelastic plane waves. Proc Camb Philos Soc 58:527–531MathSciNetCrossRef

Quintanilla R (2011) On growth and continuous dependence in thermoelasticity with microtemperatures. J Therm Stress 34:911–922CrossRef

Riha P (1976) On the microcontinuum model of heat conduction in materials with inner structure. Int J Eng Sci 14:529–535CrossRef

Said SM (2016) Influence of gravity on generalized magneto-thermoelastic medium for three-phase-lag model. J Comp Appl Math 291:142–157MathSciNetCrossRefMATH

Scalia A, Svanadze M (2006) On the representation of solutions of the theory of thermoelasticity with microtemperatures. J Therm Stress 29:849–863MathSciNetCrossRef

Scalia A, Svanadze M, Tricaná R (2010) Basic theorems in the equilibrium theory of thermoelasticity with microtemperatures. J Therm Stress 33:721–753CrossRef

Sherief HH, Hamza FA, Saleh HA (2004) The theory of generalized thermoelastic diffusion. Int J Eng Sci 42:591–608MathSciNetCrossRefMATH

Singh B (2014) Propagation of Rayleigh wave in a thermoelastic solid half-space with microtemperatures. Int J Thermophys 2014:1–6

Steeb H, Singh J, Tomar SK (2013) Time harmonic waves in thermoelastic material with microtemperatures. Mech Res Commun 48:8–18CrossRef

Title: Thermo-mechanical interactions in a magneto-thermoelastic solid with microtemperatures and diffusion
Authors: Kapil Kumar Kalkal
Reetika Goyal
Sunita Deswal
Publication date: 11-12-2018
Publisher: Springer Berlin Heidelberg
Published in: Microsystem Technologies / Issue 10/2019
Print ISSN: 0946-7076
Electronic ISSN: 1432-1858
DOI: https://doi.org/10.1007/s00542-018-4247-x

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