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Structural Engineering and Mechanics
  Volume 30, Number 5, November30 2008 , pages 577-592
DOI: https://doi.org/10.12989/sem.2008.30.5.577
 


Response of temperature dependence of an elastic modulus in microstretch generalized thermoelasticity
Rajneesh Kumar and Rajani Rani Gupta

 
Abstract
    Laplace-Fourier transform techniques are used to investigate the interaction caused by mechanical, thermal and microstress sources in a generalized thermomicrostretch elastic medium with temperature-dependent mechanical properties. The modulus of elasticity is taken as a linear function of reference temperature. The integral transforms are inverted using a numerical technique to obtain the normal stress, tangential stress, tangential couple stress, microstress and temperature distribution. Effect of temperature dependent modulus of elasticity and thermal relaxation times have been depicted graphically on the resulting quantities. Comparisons are made with the results predicted by the theories of generalized thermoelasticity. Some particular cases are also deduced from the present investigation.
 
Key Words
    Microstretch generalized thermoelastic solid, Integral transforms, Concentrated source, Microstress force
 
Address
Rajneesh Kumar and Rajani Rani Gupta: Dept. of Mathematics, Kurukshetra University, Kurukshetra-136 119, India
 

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