Stress-update algorithms for Bigoni-Piccolroaz yield criterion coupled with a generalized function of kinematic hardening laws

A broad-ranging plasticity model is constructed by combining Bigoni-Piccolroaz yield function with a sweeping expression of kinematic hardening. Subsequently, two explicit and implicit update algorithms are developed to compute the stress from the rate equations of the plasticity in an incremental e...

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Bibliographic Details
Published in:European journal of mechanics, A, Solids Vol. 67; pp. 1 - 17
Main Authors: Sharifian, Mehrdad, Sharifian, Mehrzad, Krysl, Petr, Sharifian, Mehrnaz
Format: Journal Article
Language:English
Published: Berlin Elsevier Masson SAS 01.01.2018
Elsevier BV
Subjects:
Algorithms
Computer simulation
Constitutive equations
Constitutive models
Elastic-plastic behavior
Elastoplasticity
Finite element analysis
Finite element method
Formulations
Hardening
Kinematics
Materials selection
Mathematical models
Nonlinear finite elements
Plastic properties
Stress state
Stress-update algorithms
Yield criteria
Yield criterion
Elastic-plastic behavior
Stress-update algorithms
Yield criterion
Nonlinear finite elements
Constitutive equations
ISSN:0997-7538, 1873-7285
Online Access:Get full text
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Summary:A broad-ranging plasticity model is constructed by combining Bigoni-Piccolroaz yield function with a sweeping expression of kinematic hardening. Subsequently, two explicit and implicit update algorithms are developed to compute the stress from the rate equations of the plasticity in an incremental elastoplastic finite element analysis. The integrations are based on Forward and Backward Euler schemes. Considering a number of varying materials and the associated plasticity models, the proposed formulations are examined by means of a comprehensive set of numerical investigations. These include investigations to verify the suggested strategies along with two numerical simulations carried out by implementing the algorithms in a nonlinear finite element code. The versatility of the formulae allows for an expansive choice of elastoplastic constitutive models with a simple adjustment of a few parameters. •A broad-ranging plasticity is constructed by coupling the Bigoni-Piccolroaz yield criterion with a general expression of kinematic hardening.•Two update algorithms are developed for integrating the constitutive relations of the plasticity to update the stress.•The proposed methods are verified by virtue of a comprehensive set of numerical tests.•The algorithms are implemented in a nonlinear finite element code to solve elastoplastic problems.
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ISSN:0997-7538
1873-7285
DOI:10.1016/j.euromechsol.2017.08.011