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Exact Solution for Lord-Shulman Generalized Coupled Thermoporoelasticity in Spherical Coordinates – Springer

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Overview

In this entry, the generalized coupled thermoporoelasticity model of hollow and solid spheres under radial-symmetric loading condition (r, t) is considered. A full analytical method is used and an exact unique solution of the generalized coupled equations is presented.

The thermal, mechanical, and pressure boundary conditions, the body force, the heat source, and the injected volume rate per unit volume of a distribute water source are considered in the most general forms and where no limiting assumption is used. This generality allows the simulation of varieties of applicable problems.

Introduction

The classical theory of thermoelasticity is based on the conventional heat conduction equation. The conventional heat conduction theory assumes that the thermal disturbances propagate at infinite speeds. This prediction is unrealistic from a physical point of view, particularly in simulations like those involving very short transient duration, sudden high heat flux situations,…

References

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  15. Jabbari M, Dehbani H (2011) An exact solution for Lord-Shulman generalized coupled thermoporoelasticity in cylindrical coordinates. In: Ninth international conference on thermal stress, Budapest

  16. Jabbari M, Dehbani H, Eslami MR (2009) An exact solution for classic coupled thermoelasticity in spherical coordinates. J Press Vessel ASME Trans 132:031201–031211

  17. Jabbari M, Dehbani H (2009) An exact solution for classic coupled thermoporoelasticity in cylindrical coordinates. J Solid Mech 1:343–357

  18. Jabbari M, Dehbani H, Eslami MR (2009) An exact solution for classic coupled thermoelasticity in cylinderical coordinates, J Press Vessel ASME Trans October 2011, 133:05120401–05120410 Transactions of the ASME

  19. Jabbari M, Dehbani H, Eslami MR (2011) An exact solution for classic coupled thermoelasticity in cylindrical coordinates. ASME J Press Vessel Technol 133:051204–051210

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Author information

Authors and Affiliations

  1. Faculty of Engineering, Postgraduate School, South Tehran Branch, Islamic Azad University, Tehran, Iran

    Mohsen Jabbari

  2. Postgraduate School, South Tehran Branch, Islamic Azad University, Tehran, Iran

    H. Dehbani

Corresponding author

Correspondence to Mohsen Jabbari .

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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Cite this entry

Jabbari, M., Dehbani, H. (2014). Exact Solution for Lord-Shulman Generalized Coupled Thermoporoelasticity in Spherical Coordinates. In: Hetnarski, R.B. (eds) Encyclopedia of Thermal Stresses. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2739-7_1007

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