55
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

Relationships for the approximation of transient direct and inverse problems with asymptotic kernels

Pages 127-140 | Received 28 Dec 1999, Published online: 24 Oct 2007

References

  • Fodor , G. 1965 . Laplace Transforms in Engineering , Budapest : Akademiai Kiado .
  • Harris , C. M. 1961 . Shock & Vibration Handbook , New York : McGraw-Hill Book Company .
  • Jacobson , L. S. and Ayre , R. S. 1952 . A Comparative Study of Pulse and Step-Type Loads on Simple Vibratory Systems . Technical Report N16 ,
  • Carslaw , H. S. and Jaeger , J. C. 1959 . Conduction of Heat in Solids , Great Britain : Oxford University Press .
  • Arpaci , V. S. 1966 . Conduction Heat Transfer , Reading, Mass : Addison-Wesley .
  • Austin , J. B. 1932 . Temperature Distribution in Solid Bodies During Heating or Cooling . Journal of Applied Physics , 3 : 179 A Correction
  • Vedula , V. R. , Segall , A. E. and Rangarazan , S. K. 1998 . Transient Analysis of Internally Heated Tubular Components with Exponential Thermal Loading and External Convection . International Journal of Heat and Mass Transfer , 41 ( 22 ) : 3675 – 3678 .
  • Arridge , R. G. C. 1975 . Mechanics of Polymers , Clarendon Press .
  • Ting , E. C. 1970 . Stress Analysis for Linear Viscoelastic Cylinders . AIAA Journal , 8 ( 1 ) : 18 – 22 .
  • Beck , J. V. , Blackwell , B. and Clair , C. R. 1985 . Inverse Heat Conduction-Ill posed Problems , Wiley Interscience .
  • Al-Khalidy , N. 1998 . On the Solution of Parabolic and Hyperbolic Inverse Heat Conduction Problems . International Journal of Heat and Mass Transfer , 41 : 3731 – 3740 .
  • Segall , A. E. , Hellmann , J. R. and Tressler , R. E. Thermal Shock and Fatigue Behavior of Ceramic Tubes . Proceedings of the 10th Biennial ASME Conference on Reliability, Stress Analysis, and Failure Prevention . New Mexico. pp. 81
  • Schapery , R. A. Approximate Method of Transform Inversion for Viscoelastic Stress Analysis . Proceedings of the Fourth U.S. National Congress of Applied Mechanics . pp. 1075 – 1085 .
  • Beck , J. V. , Schisler , I. P. and Keltner , N. R. 1984 . Simplified Laplace Transform for Unsteady Surface Element Method for Transient Conduction . AIAA Journal , 22 ( 9 ) : 1328 – 1332 .
  • Gaver , D. P. 1966 . Observing Stochastic Processes and Approximate Transform Inversion . Operational Research , 14 ( 3 ) : 444 – 459 .
  • Stehfest , H. 1970 . Numerical Inversion of Laplace Transforms . Communications of the ACM , 13 : 47 – 49 . 624
  • Woo , K. 1980 . TI-59 Inverts Laplace Transforms for Time-Domain Analysis . Electronics , Oct. 9 : 178 – 179 .
  • Tikhonov , A. N. and Samarskii , A. A. 1963 . Equations of Mathematical Physics , Pergamon Press .
  • Omel'chenko , K. G. and Volodina , M. V. 1975 . Analysis of Inverse Heat-Conduction Problems by Means of Similarity Solutions . Journal of Engineering Physics , 29 ( 1 ) : 860 – 862 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.