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Domain of influence results of dual-phase-lag thermoelasticity theory for natural stress–heat-flux problem

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Abstract

The present paper deals with the natural stress–heat-flux problem in the context of dual-phase-lag thermoelasticity theory for an isotropic and homogeneous material with the initial and boundary conditions in terms of stress and heat-flux. The main aim of this work is to establish the domain of influence theorem for the considered problem. Using this theorem, a bounded domain, \({\mathfrak {D}}_{t}\) is obtained such that outside this domain, no thermoelastic disturbance due to heat-flux and stress field is observed. The finite speed of propagation is shown to be dependent on material parameters and phase-lags. Results related to domain of influence in Lord–Shulman and classical thermoelasticity theory are also acquired from the present theorem.

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Acknowledgements

Authors thankfully acknowledge the constructive suggestions by reviewer and editor to improve the quality of the present paper. One of the authors (Komal Jangid) thankfully acknowledges the full financial assistance from the Council of Scientific and Industrial Research (CSIR), India, as the JRF fellowship (File. No. 09/1217(0057)/2019-EMR-I) to carry out this research work.

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Authors and Affiliations

  1. Department of Science and Liberal Arts, JK Lakshmipat University, Jaipur, 302026, India

    Manushi Gupta

  2. Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, 221005, India

    Manushi Gupta, Komal Jangid & Santwana Mukhopadhyay

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  1. Manushi Gupta
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  2. Komal Jangid
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  3. Santwana Mukhopadhyay
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Correspondence to Manushi Gupta.

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Gupta, M., Jangid, K. & Mukhopadhyay, S. Domain of influence results of dual-phase-lag thermoelasticity theory for natural stress–heat-flux problem. Z. Angew. Math. Phys. 73, 169 (2022). https://doi.org/10.1007/s00033-022-01805-w

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  • DOI: https://doi.org/10.1007/s00033-022-01805-w

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