0
Research Papers

Integrating the Pressure-Sensitive Nonassociative Plasticity by Exponential-Based Methods

[+] Author and Article Information
Mohammad Rezaiee-Pajand

Professor of Civil Engineering,
Ferdowsi University of Mashhad,
Mashhad, 91775-1111 Iran

Mehrdad Sharifian

Ph.D. Student of Structural Engineering

Mehrzad Sharifian

Ph.D. Structural Engineering
Ferdowsi University of Mashhad,
Mashhad, 91775-1111 Iran

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received June 4, 2012; final manuscript received January 18, 2013; published online May 13, 2013. Assoc. Editor: Marwan K. Khraisheh.

J. Eng. Mater. Technol 135(3), 031010 (May 13, 2013) (22 pages) Paper No: MATS-12-1131; doi: 10.1115/1.4024173 History: Received June 04, 2012; Revised January 18, 2013

A nonassociative plasticity model of Drucker–Prager yield surface coupled with a generalized nonlinear kinematic hardening is considered. Conforming to the plasticity model, two exponential-based methods, called fully explicit and semi-implicit, are recommended for integrating its constitutive equations. These techniques are proposed for the first time to solve nonlinear hardening materials. The integrations are thoroughly investigated by utilizing stress and strain-updating tests along with a boundary value problem in diverse grounds of accuracy, convergence rate, and efficiency. The results indicate that the fully explicit scheme is more accurate and efficient than the Euler's, but the same convergence rate as the classical integrations is also perceived. Having a quadratic convergence, the semi-implicit is noticeably the most accurate and efficient procedure to use for this plasticity model among the algorithms in question. Since the plasticity model is in a great consistency with discontinuously reinforced aluminum (DRA) composites, the suggested formulations can be utilized pragmatically. The tangent moduli of the proposed and Euler's strategies are derived and examined, as well, due to their vital role in achieving the asymptotic quadratic convergence rate of the Newton–Raphson solution in nonlinear finite-element analyses.

Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Fig. 1

Flow chart for the explicit exponential, EXF, and semi-implicit exponential, EXS, integrations

Grahic Jump Location
Fig. 2

Treatment of the apex for associative model

Grahic Jump Location
Fig. 3

Treatment of the apex for nonassociative model

Grahic Jump Location
Fig. 6

Stress relative errors by FE, BE, and EXF for strain history 1

Grahic Jump Location
Fig. 7

Stress relative errors by EXF and EXS for strain history 1

Grahic Jump Location
Fig. 8

Stress relative errors by FE, BE, and EXF for strain history 2

Grahic Jump Location
Fig. 9

Stress relative errors by EXF and EXS for strain history 2

Grahic Jump Location
Fig. 10

Comparison of the accuracy of EXF and BE with EXS for strain history 1

Grahic Jump Location
Fig. 11

Comparison of the accuracy of EXF and BE with EXS for strain history 2

Grahic Jump Location
Fig. 12

Stress relative error by EXS in consecutive load-step sizes for strain history 1

Grahic Jump Location
Fig. 13

Stress relative error by EXF in consecutive load-step sizes for strain history 1

Grahic Jump Location
Fig. 14

Demonstration of the accuracy convergence rates of the integration schemes for strain history 1

Grahic Jump Location
Fig. 17

Strain relative errors by FE, BE, and EXF for stress history 1

Grahic Jump Location
Fig. 18

Strain relative errors by EXF and EXS for stress history 1

Grahic Jump Location
Fig. 19

Strain relative errors by FE, BE, and EXF for stress history 2

Grahic Jump Location
Fig. 20

Strain relative errors by EXF and EXS for stress history 2

Grahic Jump Location
Fig. 21

The strip with an elliptical hole

Grahic Jump Location
Fig. 22

The finite-element mesh

Grahic Jump Location
Fig. 23

The history of the nonproportional loads

Grahic Jump Location
Fig. 24

The elements involvement in plastic computations alongside their deformations

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In