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Original Articles

Isochronous Explicit Time Integration Framework: Illustration to Thermal Stress Problems Involving Both First- and Second-Order Transient Systems

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Pages 1066-1079 | Received 30 Sep 2013, Accepted 10 Oct 2013, Published online: 16 Jul 2014

REFERENCES

  • M. Shimada , S. Masuri , and K. K. Tamma , A Novel Design of an Isochronous Integration [iIntegration] Framework for First/Second Order Multidisciplinary Transient Systems, International Journal for Numerical Methods in Engineering, in press.
  • K. K. Tamma , and R. R. Namburu , Computational Approaches with Applications to Non-Classical, and Classical Thermomechanical Problems . Applied Mechanics Reviews , vol. 50 , no. 9 , pp. 514 – 551 , 1997 .
  • K. K. Tamma , X. Zhou , V. Wheeler , S. U. Masuri , and M. Sellier , On the Applicability of an Isochronous Integration Framework for Parabolic/Hyperbolic Heat Conduction Type Problems, Numerical Heat Transfer, Part A: Applications , vol. 62, pp. 372–392, 2012.
  • S. Masuri , M. Sellier , X. Zhou , and K. K. Tamma , Design of Order-Preserving Algorithms for Transient First-Order Systems with Controllable Numerical Dissipation, International Journal for Numerical Methods in Engineering, doi: 10.1002/nme.3228 , 2011 .
  • X. Zhou and K. K. Tamma , Design, Analysis, and Synthesis of Generalized Single Step Single Solve and Optimal Algorithms for Structural Dynamics , International Journal for Numerical Methods in Engineering , vol. 59 , pp. 597 – 668 , 2004 .
  • V. I. Danilovskaya , Thermal Stresses in an Elastic Half-Space Due to a Sudden Heating of its Boundary , (in Russian), Prikladnaya Matematika i Mekhanika , vol. 14 , pp. 316 – 318 , 1950 .
  • Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/uths.

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