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An implicit algorithm for hypoelasto-plastic and hypoelasto-viscoplastic endochronic theory in finite strain isotropic-kinematic-hardening model

Khoei, A. R ; Sharif University of Technology | 2003

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  1. Type of Document: Article
  2. DOI: 10.1016/S0020-7683(03)00155-0
  3. Publisher: Elsevier Ltd , 2003
  4. Abstract:
  5. This paper is concerned with objective stress update algorithm for elasto-plastic and elasto-viscoplastic endochronic theory within the framework of additive plasticity. The elastic response is stated in terms of hypoelastic model and endochronic constitutive equations are stated in unrotated frame of reference. A trivially incrementally objective integration scheme for rate constitutive equations is established. Algorithmic modulus consistent with numerical integration algorithm of constitutive equations is extracted. The implementation is validated by means of a set of simple deformation paths (simple shear, extension and rotation), two benchmark test in nonlinear mechanics (the necking of a circular bar and expansion of a thick-walled cylinder), a test which demonstrates the capabilities of the proposed model in simulation of cyclic loading and ratcheting in finite strain case (cyclically loaded notched bar) and finally, the analysis of a tensile test, which presents a shear band with a finite thickness independent of the finite element mesh using endochronic viscoplastic constitutive model. © 2003 Elsevier Science Ltd. All rights reserved
  6. Keywords:
  7. Endochronic theory ; Hypoelastic model ; Large strain ; Stress update ; Viscoplasticity
  8. Source: International Journal of Solids and Structures ; Volume 40, Issue 13-14 , 2003 , Pages 3393-3423 ; 00207683 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0020768303001550