Angles based integration for generalized non-linear plasticity model

Rezaiee‐Pajand, Mohammad; Sharifian, Mehrdad; Sharifian, Mehrzad

doi:10.1016/j.ijmecsci.2014.06.009

Cited by 12 publications

(3 citation statements)

References 46 publications

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“…Afterward, the average error for these methods is calculated by equation (28) for Δ t = 0.05s. Finally, the efficiency of the methods can be obtained by the subsequent equation (Rezaiee-Pajand et al (2014a, 2014b): …”

Section: Numerical Examinationsmentioning

confidence: 99%

“…Moreover, the exponential map method was advanced by Rezaiee-Pajand et al (2010, 2011, 2014a, 2014b for cyclic plasticity models comprising von-Mises yield function along with nonlinear kinematic hardening laws of Chaboche (1986), Ohno and Wang (1993) and Abdel-Karim and Ohno (2000). Considering the pressure-sensitive material's elastoplastic behavior, the Drucker-Prager yield surface along with the mixed hardening was take into account to propose the angels based integrations by Rezaiee-Pajand and Sharifian (2012) and Rezaiee-Pajand et al (2014a, 2014b. In addition, for the aforementioned yield conditions, an efficient first-order integration was suggested by Sharifian et al (2018aSharifian et al ( , 2018b.…”

Section: Introductionmentioning

confidence: 99%

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A hybrid method to update stress for perfect von-Mises plasticity coupled with Lemaitre damage mechanics

Tavoosi

Sharifian

2019

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Purpose The purpose of this paper is to suggest a robust hybrid method for updating the stress and plastic internal variables in plasticity considering damage mechanics. Design/methodology/approach By benefiting the properties of the well-known explicit and implicit integrations, a new mixed method is derived. In fact, the advantages of the mentioned techniques are used to achieve an efficient integration. Findings The numerical studies demonstrate the high precision and robustness of the suggested algorithm. Research limitations The perfect von-Mises plasticity together with Lemaitre damage model is considered within the realm of small deformations. Practical implications Updating stress and plastic internal variables are of utmost importance in elastoplastic analyses of structures. The accuracy and efficiency of stress-updating methods significantly affect the final outcomes of nonlinear analyses. Originality/value The idea which is used to derive the hybrid method leads to an efficient integration method for updating the constitutive equations of the damage mechanics.

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Section: Numerical Examinationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A hybrid method to update stress for perfect von-Mises plasticity coupled with Lemaitre damage mechanics

Tavoosi

Sharifian

2019

Self Cite

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“…Kossa and Szabó 26 found that the new scheme is computationally efficient since, at the same accuracy, it required less computational time than that required for the radial return mapping. Rezaiee‐Pajand et al 27 and Liu et al 28 further extended this approach for the various hardening models. Armero 29 reviewed the classical formulation of plasticity and viscoplasticity and the variational formulations of the closest point projection algorithms.…”

Section: Introductionmentioning

confidence: 99%

A novel accurate and computationally efficient integration approach to viscoplastic constitutive model

Kumar

Patel

2020

Numerical Meth Engineering

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A novel, accurate, and computationally efficient integration approach is developed to integrate small strain viscoplastic constitutive equations involving nonlinear coupled first-order ordinary differential equations. The developed integration scheme is achieved by a combination of the implicit backward Euler difference approximation and the implicit asymptotic integration. For the uniaxial loading case, the developed integration scheme produces accurate results irrespective of time steps. For the multiaxial loading case, the accuracy and computational efficiency of the developed integration scheme are better than those of either the implicit backward Euler difference approximation or the implicit asymptotic integration. The simplicity of the developed integration scheme is equivalent to that of the implicit backward Euler difference approximation since it also reduces the solution of integrated constitutive equations to the solution of a single nonlinear equation. The algorithm tangent constitutive matrix derived for the developed integration scheme is consistent with the integration algorithm and preserves the quadratic convergence of the Newton-Raphson method for global iterations.

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Nonlinear elastoplastic analysis of pressure sensitive materials

Sharifian

2017

Int J Mech Mater Des

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Angles based integration for generalized non-linear plasticity model

Cited by 12 publications

References 46 publications

A hybrid method to update stress for perfect von-Mises plasticity coupled with Lemaitre damage mechanics

A hybrid method to update stress for perfect von-Mises plasticity coupled with Lemaitre damage mechanics

A novel accurate and computationally efficient integration approach to viscoplastic constitutive model

Nonlinear elastoplastic analysis of pressure sensitive materials

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