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Application of Isochronous Integration Framework to Dynamic Thermoelasticity

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Encyclopedia of Thermal Stresses

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Dynamic thermoelasticity involves generalization of both the fields of heat conduction in solids and continuum elasticity. The thermoelastic behavior of solids and engineering structures has long been a subject of widespread research activity and interest, and numerous publications exist to date including a review article by Tamma and Namburu [1], as the problem has a significant number of general engineering applications in mechanical, aerospace, chemical, civil, electronic, and nuclear engineering disciplines. Therefore, an accurate understanding of the interdisciplinary thermal-structural interactions is of utmost importance and concern especially in the design and analysis stage. The complexity and interdisciplinary nature of these structures significantly influences the response characteristics and makes the combined modeling and analysis a formidable and challenging task.

In this regard, numerical computational methods play an important role for both the fields of heat...

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References

  1. Tamma KK, Namburu RR (1997) Computational approaches with applications to non-classical and classical thermomechanical problems. Appl Mech Rev 50(9):514–551

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  2. Sternberg E, Chakravorty JG (1959) On inertia effects in a transient thermoelastic problem. J Appl Mech 26:503–509

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  3. Nowinski JL (1978) Theory of thermoelasticity with applications. Sijthoff & Noordhoff International, The Netherlands

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  4. Balla M (1991) Analytical study of the thermal shock problem of a half-space with various thermoelastic models. Acta Mech 89:73–92

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  5. Zhou X, Tamma KK (2006) Algorithms by design with illustrations to solid and structural mechanics/dynamics. Int J Numer Methods Eng 66:1738–1790

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  6. Masuri S, Sellier M, Zhou X, Tamma KK (2011) Design of order-preserving algorithms for transient first-order systems with controllable numerical dissipation. Int J Numer Methods Eng. doi:10.1002/nme.3228

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Correspondence to Kumar K. Tamma .

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© 2014 Springer Science+Business Media Dordrecht

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Masuri, S.U., Tamma, K.K. (2014). Application of Isochronous Integration Framework to Dynamic Thermoelasticity. In: Hetnarski, R.B. (eds) Encyclopedia of Thermal Stresses. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2739-7_762

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