Capturing Thermal-Stress Waves Via Special Purpose Hybrid Transfinite Elements and Unified Computational Formulations

  • Kumar K. Tamma
  • Sudhir B. Railkar
Conference paper


The present paper represents an attempt to apply extensions of a hybrid transfinite element computational approach for accurately predicting thermoelastic stress waves, A unique feature of the proposed formulations for applicability to the Danilovskaya’s problem of thermal stress waves in elastic solids lies in the hybrid nature of the unified formulations and the development of special purpose transfinite elements in conjunction with the classical Galerkin techniques and transformation concepts. Numerical test cases validate the applicability and superior capability to capture the thermal stress waves induced due to boundary heating.


Stress Wave Interpolation Function Superior Capability Transformation Concept Boundary Heating 
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  1. 1.
    Tamma, K. K. and Railkar, S. B., ‘Transfinite Element Methodology Towards a Unified Thermal/Structural Analysis’, J. Computers and Structures (to appear)Google Scholar
  2. 2.
    Tamma, K. K., Spyrakos, C. C. and Lambi, M. A., ‘Thermal-Structural Dynamic Analysis Via a Transform Method Based Finite Element Approach’, J. Spacecrafts and Rockets (to appear)Google Scholar
  3. 3.
    Tamma, K, K. and Railkar, S. B., ‘A Generalized Hybrid Transfinite Element Computational Approach for Nonlinear/Linear Unified Thermal/Structural Analysis’, J. Computers and Structures (to appear).Google Scholar
  4. 4.
    Danilovskaya, V. I., ‘Thermal Stresses in an Elastic Half Space Arising After a Sudden Heating of Its Boundary’, (in Russian), Prikl. Mat. Mekh., 14 (3), (1950) 316–318.MathSciNetGoogle Scholar
  5. 5.
    Danilovskaya, V. I., ‘On a Dynamical Problem of Thermoelasticity’, (in Russian), Prikl. Mat. Mekh., 16 (3), (1952) 341–344.MathSciNetGoogle Scholar
  6. 6.
    Weeks, G. E. and Cost, T. L., ‘Complex Stress Response and Reliability Analysis of a Composite Elastic-Viscoelastic Missile Configuration Using Finite Elements’, Mechanics Research Communications, 7 (2), (1980) 59–63.zbMATHCrossRefGoogle Scholar
  7. 7.
    Beskos, D. E. and Boley, B. A., ‘Use of Dynamic Influence Coefficients in Forced Vibration Problems with the Aid of Laplace Transforms’, J. Computers and Structures, 5, (1975) 263–269.zbMATHCrossRefGoogle Scholar
  8. 8.
    Aral, M. M. and Gulcat, U., ‘A Finite Element Laplace Transform Solution Technique for the Wave Equation’, Int. J. Num. Meth. in Engr., 11, (1977) 1719–1732.zbMATHCrossRefGoogle Scholar
  9. 9.
    Durbin, F., ‘Numerical Inversion of Laplace Transofrms: An Efficient Improvement to Dubner and Abate’s Method’, Comp. J., 17, (1979) 371–376.MathSciNetGoogle Scholar
  10. 10.
    Ting, E. C. and Chen, H. C., ‘A Unified Numerical Approach for Thermal Stress Waves’, J. Computers and Structures, 15 (2), (1982) 165–175.zbMATHCrossRefGoogle Scholar
  11. 11.
    Sternberg, E. and Chakravorty, J. G., ‘On Intertia Effects in a Transient Thermoelastic Problem’, J. Appl. Mech., 26 (4), (1959) 503–509.MathSciNetGoogle Scholar

Copyright information

© Martinus Nijhoff Publishers, Dordrecht 1987

Authors and Affiliations

  • Kumar K. Tamma
    • 1
  • Sudhir B. Railkar
    • 2
  1. 1.ICADUSA
  2. 2.Mechanical and Aerospace EngineeringWest Virginia UniversityMorgantownUSA

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