A multi-mechanism model for cutting simulations combining asymmetric effects and gradient phase transformations / von M.Sc. Chun Cheng. Paderborn, 2019
Inhalt
- 1 Introduction
- 2 Basic equations for continuum mechanics and volume changes for a multi-phase system
- 2.1 Kinematics
- 2.2 Volume changes due to pressure, temperature and phase fraction
- 2.3 Stress tensors
- 2.4 Balance equations
- 3 A multi-mechanism model for cutting simulations combining visco-plastic asymmetry and TRIP
- 3.1 Introduction
- 3.2 A thermodynamic framework for asymmetric visco-plasticity and phase transformations
- 3.3 A prototype model for cutting processes
- 3.3.1 Helmholtz energy
- 3.3.2 Thermodynamic forces
- 3.3.3 A yield function of Johnson-Cook type
- 3.3.4 Evolution equations for visco-plasticity
- 3.3.5 A flow rule for transformation plasticity
- 3.3.6 Evolution of phase fractions
- 3.3.7 Thermodynamic consistency
- 3.3.8 Interpretation as a multi-mechanism model
- 3.3.9 Special form of the heat-conduction equation
- 3.3.10 Summary of constitutive equations
- 3.4 Numerical implementation
- 3.4.1 Integration scheme
- 3.4.2 Spectral decomposition
- 3.4.3 Local iteration
- 3.4.4 Spatial algorithmic tangent operator
- 3.5 Representative examples
- 3.5.1 Steel AISI 52100 under tension, compression and shear as well as phase-transformation
- 3.5.2 Simulation of a cutting process
- 3.6 Summary
- 4 Extension of the multi-mechanism model with a gradient of the austenite phase fraction based on the concept of generalized stresses
- 4.1 Introduction
- 4.2 A thermodynamic framework based on the concept of generalized stresses
- 4.2.1 The concept of generalized stresses - general setting
- 4.2.2 Constitutive framework
- 4.2.3 Heat-conduction equation
- 4.3 A prototype model for cutting processes
- 4.3.1 Helmholtz energy
- 4.3.2 Evolution equations
- 4.3.3 Thermodynamic consistency
- 4.3.4 Summary of constitutive equations
- 4.4 Numerical implementation on a finite element level
- 4.5 Representative examples
- 4.5.1 Mechanical tests for identifying hardness dependent plasticity
- 4.5.2 Simulation of a cutting process
- 4.6 Summary
- 5 Summary and Outlook
- Appendix
- Bibliography