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Continuum Mechanics and Thermodynamics

, Volume 17, Issue 1, pp 83–99 | Cite as

Linear stability analysis for a thermoviscoplastic material under cyclic axial loading

  • F. DinzartEmail author
  • A. Molinari
Original article
  • 56 Downloads

Abstract.

Some mechanical properties exhibit a very strong dependence upon temperature; these evolutions can be properly analyzed by the steady state response in cyclic loading. To relate experimental conditions to thermomechanical characteristics, the existence and the stability of steady state solutions are studied for cylinders submitted to cyclic compression. The material, considered as rigid viscoplastic, is modeled by a non-Newtonian temperature dependent viscous law. Closed form solutions are obtained in the framework of a large deformation theory by neglecting thermal expansion and inertia effects. Steady state regime is analyzed. The stress versus strain rate response and the temperature distribution are established as functions of the geometry of the cylinder, the loading characteristics and the material parameters. The stability of steady state solutions is analyzed with use of a linear perturbation scheme.

Keywords:

cyclic loading thermoviscoplastic behavior steady states thermomechanical instability 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2005

Authors and Affiliations

  1. 1.Laboratoire de Physique et Mécanique des MatériauxUMR CNRS 7554, Université de MetzIle du Saulcy, Metz CedexFrance

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