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Dual Phase-Lag Thermoelasticity

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Encyclopedia of Thermal Stresses

Overview

High-rate heating of metallic films is a rapidly emerging area in heat transfer due to the advancement of short-pulse laser technologies and their applications in modern microfabrication technologies. The dual phase-lag (DPL) heat conduction equation [1, 2] has been introduced by including two phase-lags in Fourier law of heat conduction in order to take into account the microstructural effects that arise in high-rate heat transfer. In addition to its applications in the ultrafast pulse laser heating, temperature pulse propagation in liquid helium, nonhomogeneous lagging response in porous media, thermal lagging response in amorphous materials, the DPL heat conduction equation also arises in describing the effects of material defects and thermo-mechanical coupling due to ultrafast heating [3–7]. The dual phase-lag heat conduction model is extended to the dual phase-lag thermoelasticity (DPLTE) [3, 8]. The coupled dynamical thermoelasticity (CTE) theory was developed by Biot [9...

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Indian Institute of Technology (Banaras Hindu University), Varanasi, 221005, India

    Santwana Mukhopadhyay & Shweta Kothari

  2. Department of Mathematics, Central University of Bihar, Patna, 800014, India

    Roushan Kumar

Authors
  1. Santwana Mukhopadhyay
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  2. Shweta Kothari
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  3. Roushan Kumar
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Corresponding author

Correspondence to Santwana Mukhopadhyay .

Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, Rochester Institute of Technology, Rochester, NY, USA

    Richard B. Hetnarski

  2. Naples, FL, USA

    Richard B. Hetnarski

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Mukhopadhyay, S., Kothari, S., Kumar, R. (2014). Dual Phase-Lag Thermoelasticity. In: Hetnarski, R.B. (eds) Encyclopedia of Thermal Stresses. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2739-7_706

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