Numerical implementation of modified Chaboche kinematic hardening model for multiaxial ratcheting
| Autor: | Karuppasamy Pandian Marimuthu, Sungyong Koo, Jungmoo Han, Hyungyil Lee |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Computer science
Mechanical Engineering Tangent 02 engineering and technology Physics::Classical Physics 01 natural sciences Matrix multiplication Finite element method Computer Science Applications Numerical integration 010101 applied mathematics Stress (mechanics) 020303 mechanical engineering & transports Operator (computer programming) 0203 mechanical engineering Modeling and Simulation Indentation Hardening (metallurgy) Applied mathematics General Materials Science 0101 mathematics Civil and Structural Engineering |
| Zdroj: | Computers & Structures. 231:106222 |
| ISSN: | 0045-7949 |
| DOI: | 10.1016/j.compstruc.2020.106222 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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