Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/190952

Title

Strain-rate potential based elastic/plastic anisotropic model for metals displaying tension-compression asymmetry

Author(s)

Yoon, Jong-Hun;  Cazacu, Oana;  Yoon, Jeong Whan

Abstract

Theoretical description of plastic anisotropy requires the definition of either stress potentials or plastic strain-rate potentials. In general, strain-rate potentials are more suitable for process design. Existing strain-rate potentials (phenomenological or texture-based) are applicable only to the description of the plastic behavior of materials with cubic crystal structure. Very recently, Cazacu et al. have developed an orthotropic strain-rate potential applicable to metals that display tension-compression asymmetry when subjected to monotonic loading (e.g. hexagonal metals). This strain-rate potential is the exact work-conjugate of the anisotropic stress potential of Cazacu et al. In this paper, an elastic/plastic formulation based on the proposed strain-rate potential and a fully implicit time integration algorithm for this potential are presented. Finite-element tube bending simulation results demonstrate the capabilities of the model to represent the effects of the anisotropy and tension-compression asymmetry of the material on its mechanical response. If a material has the same yield in tension and compression, the strain-rate potential reduces to that proposed by Hill. Further, validation of the robustness and accuracy of the integration algorithm is performed by using this new model and Hill to simulate a circular cup drawing test of a steel plate.

Publication type

Journal article

Research centre

Swinburne University of Technology. Faculty of Engineering and Industrial Sciences

Source

Computer Methods in Applied Mechanics and Engineering, Vol. 200, no. 23-24 (Jun 2011), pp. 1993-2004

Publication year

2011

FOR Code(s)

0102 Applied Mathematics;  0905 Civil Engineering;  0913 Mechanical Engineering

Keyword(s)

Algorithms;  Anisotropic strain-rate potential;  Hexagonal close-packed metals;  Stress potentials;  Stress update algorithm;  Tension-compression asymmetry

Publisher

Elsevier

ISSN

0045-7825

Publisher URL

http://dx.doi.org/10.1016/j.cma.2011.03.003

Copyright

Copyright © 2011 Elsevier B.V. All rights reserved.

Peer reviewed