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.
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July 2013
Research-Article
Integrating the Pressure-Sensitive Nonassociative Plasticity by Exponential-Based Methods
Mohammad Rezaiee-Pajand,
Mohammad Rezaiee-Pajand
Professor of Civil Engineering,
Ferdowsi University of Mashhad
,Mashhad
, 91775-1111 Iran
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Mehrdad Sharifian,
Mehrdad Sharifian
Ph.D. Student of Structural Engineering
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Mehrzad Sharifian
Mehrzad Sharifian
Ph.D. Structural Engineering
Ferdowsi University of Mashhad
,Mashhad
, 91775-1111 Iran
Search for other works by this author on:
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. Jul 2013, 135(3): 031010
Published Online: May 13, 2013
Article history
Received:
June 4, 2012
Revision Received:
January 18, 2013
Citation
Rezaiee-Pajand, M., Sharifian, M., and Sharifian, M. (May 13, 2013). "Integrating the Pressure-Sensitive Nonassociative Plasticity by Exponential-Based Methods." ASME. J. Eng. Mater. Technol. July 2013; 135(3): 031010. https://doi.org/10.1115/1.4024173
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