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Endochronic Simulation on the Effect of Curvature Rate at the Preloading Stage on the Subsequent Creep or Relaxation of Thin-Walled Tubes Under Pure Bending

Published online by Cambridge University Press:  07 December 2011

K.-H. Chang  and
C.-Y. Hung
K.-H. Chang*
Affiliation:
Department of Mold and Die Engineering, National Kaohsiung University of Applied Sciences, Kaohsiung, Taiwan 80778, R.O.C.
C.-Y. Hung
Affiliation:
Department of Mechanical Engineering, R.O.C. Military Academy, Kaohsiung, Taiwan 83059, R.O.C.
*
*Assistant Professor, corresponding author
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Abstract

In this paper, the first-order ordinary differential constitutive equations of endochronic theory were combined with the principle of virtual work for simulating the response of creep (moment is kept constant for a period of time) or relaxation (curvature is kept constant for a period of time) of thin-walled tubes subjected to pure bending with different curvature-rates at the preloading stage. A group of Fourier series was used to describe the circumferential displacements of the tube. Thus, a system of nonlinear algebraic equations was determined. This system of equations can be solved by numerical method. Experimental data tested by Pan and Fan [1] were compared with the theoretical simulations in this study. It is shown that the theoretical formulations effectively simulate the experimental data.

Keywords

Endochronic theoryThin-walled tubesPure bendingCurvature-rateCreepRelaxation
Type
Articles
Information
Journal of Mechanics , Volume 27 , Issue 4 , December 2011 , pp. 511 - 519
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2011

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References

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