Numerical implementation of modified Chaboche kinematic hardening model for multiaxial ratcheting

•Implicit numerical implementation of the modified Chaboche model is discussed.•By using Voigt notations, all equations in numerical algorithm are solved by matrix operations.•Transition of the fourth hardening rule is reflected in the iterative calculation process.•A simple way for verification of...

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Veröffentlicht in:Computers & structures Jg. 231; S. 106222
Hauptverfasser: Han, Jungmoo, Marimuthu, Karuppasamy Pandian, Koo, Sungyong, Lee, Hyungyil
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Elsevier Ltd 15.04.2020
Elsevier BV
Schlagworte:
Algorithms
Computer simulation
Constitutive relationships
Evanescence
Exact solutions
Finite element analysis
Finite element method
Hardening
Implicit radial return method
Indentation
Kinematics
Mathematical models
Modified Chaboche model
Multiaxial cyclic plasticity
Numerical implementation
Numerical integration
Ratcheting
Strain
Stress analysis
Modified Chaboche model
Implicit radial return method
Finite element analysis
Multiaxial cyclic plasticity
Numerical implementation
ISSN:0045-7949, 1879-2243
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Zusammenfassung:•Implicit numerical implementation of the modified Chaboche model is discussed.•By using Voigt notations, all equations in numerical algorithm are solved by matrix operations.•Transition of the fourth hardening rule is reflected in the iterative calculation process.•A simple way for verification of consistent tangent operator is presented.•Cyclic indentation test is simulated as a numerical example of multiaxial ratcheting. For simulating multiaxial ratcheting behavior, the modified Chaboche kinematic hardening model was numerically implemented by using the framework of a small-strain elastic-plastic theory. Unlike early models, this improved multiaxial model is difficult to implement using finite element methods owing to its complicated constitutive relations, such as radial evanescence terms and the fourth hardening rule with a threshold. We present an effective procedure for numerical implementation using Voigt notations and the implicit radial return method with Newton-Raphson iterations. All the equations of constitute numerical integration and consistent tangent operator (CTO) are simply solved using matrix operations. The integration algorithm is validated by using both numerical examples and analytical solutions. The CTO is verified by additional stress calculations. The model detects variations in the cyclic indentation response with changes in a multiaxial-dependent parameter. The numerical implementation allows simulations of both biaxial and general multiaxial ratcheting behaviors.
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ISSN:0045-7949
1879-2243
DOI:10.1016/j.compstruc.2020.106222