Strain-rate potential based elastic/plastic anisotropic model for metals displaying tension-compression asymmetry
- Authors
- Yoon, Jong-Hun; Cazacu, Oana; Yoon, Jeong Whan
- Issue Date
- Jun-2011
- Publisher
- ELSEVIER SCIENCE SA
- Keywords
- Anisotropic strain-rate potential; Tension-compression asymmetry; Hexagonal close-packed metals; Stress update algorithm
- Citation
- COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v.200, no.23-24, pp.1993 - 2004
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
- Volume
- 200
- Number
- 23-24
- Start Page
- 1993
- End Page
- 2004
- URI
- https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/39199
- DOI
- 10.1016/j.cma.2011.03.003
- ISSN
- 0045-7825
- 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. [9] 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. [8]. 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 [17]. Further, validation of the robustness and accuracy of the integration algorithm is performed by using this new model and Hill [17] to simulate a circular cup drawing test of a steel plate. (c) 2011 Elsevier B.V. All rights reserved.
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