Articles

Combined stress waves with phase transition in thin-walled tubes

Expand
  • 1. Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, P. R. China;
    2. Key Laboratory for Mechanical Behavior and Design of Materials, Chinese Academy of Sciences, P. R. China

Received date: 2012-12-13

  Revised date: 2013-05-08

  Online published: 2014-02-18

Abstract

The incremental constitutive relation and governing equations with combined stresses for phase transition wave propagation in a thin-walled tube are established based on the phase transition criterion considering both the hydrostatic pressure and the deviatoric stress. It is found that the centers of the initial and subsequent phase transition ellipses are shifted along the σ-axis in the στ-plane due to the tension-compression asymmetry induced by the hydrostatic pressure. The wave solution offers the “fast” and “slow” phase transition waves under combined longitudinal and torsional stresses in the phase transition region. The results show some new stress paths and wave structures in a thin-walled tube with phase transition, differing from those of conventional elastic-plastic materials.

Cite this article

SONG Qing-Zheng;TANG Zhi-Ping . Combined stress waves with phase transition in thin-walled tubes[J]. Applied Mathematics and Mechanics, 2014 , 35(3) : 285 -296 . DOI: 10.1007/s10483-014-1791-7

Outlines

/

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals