Advanced Machining Processes

Innovative Modeling Techniques

Angelos P. Markopoulos, J. Paulo Davim, Angelos P. Markopoulos, J. Paulo Davim

• Publisher: CRC Press
• Year: 2017
• eBook ISBN: 9781315305257
• Edition: 1
• Topic: Physical Sciences
• Subtopic: Mechanics

Modeling and machining are two terms closely related. The benefits of the application of modeling on machining are well known. The advances in technology call for the use of more sophisticated machining methods for the production of high-end components. In turn, more complex, more suitable, and reliable modeling methods are required. This book pertains to machining and modeling, but focuses on the special aspects of both. Many researchers in academia and industry, who are looking for ways to refine their work, make it more detailed, increase their accuracy and reliability, or implement new features, will gain access to knowledge in this book that is very scare to find elsewhere.

chapter one

A particle finite element method applied to modeling and simulation of machining processes

Juan Manuel Rodríguez, Pär Jonsén, and Ales Svoboda

Contents

1.1 Introduction

1.2 The particle finite element method

1.2.1 The particle finite element method in solid mechanics

1.2.2 The particle finite element method in the numerical simulation of metal cutting processes

1.2.2.1 Data transfer of internal variables

1.3 Governing equations for a Lagrangian continuum

1.3.1 Momentum equation

1.3.2 Thermal balance

1.3.3 Mass balance

1.3.4 Boundary conditions

1.3.4.1 Mechanical problem

1.3.4.2 Thermal problem

1.4 Variational formulation

1.4.1 Momentum equations

1.4.2 Mass conservation equation

1.4.3 Thermal balance equation

1.5 Finite element discretization

1.6 The constitutive model

1.6.1 Thermo-elastoplasticity model at finite strains

1.6.1.1 Elastic response

1.6.1.2 Yield condition

1.6.1.3 Flow rule

1.6.1.4 The Johnson–Cook constitutive model

1.7 Stress update algorithm

1.7.1 Thermo-elastoplasticity model at finite strains

1.7.2 Transient solution of the discretized equations

1.7.3 Mechanical problem

1.7.4 Thermal problem

1.8 Example, result, and discussion

1.8.1 Cutting and feed forces

1.8.2 Material response

1.9 Conclusion

References

Metal cutting process is a nonlinear dynamic problem that includes geometrical, material, and contact nonlinearities. In this work, a Lagrangian finite element approach for the simulation of metal cutting process is presented based on the so-called particle finite element method (PFEM). The governing equations for the deformable bodies are discretized with the finite element method (FEM) via a mixed formulation using simplicial elements with equal linear interpolation for displacements, pressure, and temper...

Table of contents

• Cover
• Half Title
• Title Page
• Copyright Page
• Table of Contents
• List of figures
• List of tables
• Preface
• Editors
• Contributors
• Chapter 1 A particle finite element method applied to modeling and simulation of machining processes
• Chapter 2 Smoothed particle hydrodynamics for modeling metal cutting
• Chapter 3 Failure analysis of carbon fiber reinforced polymer multilayer composites during machining process
• Chapter 4 Numerical modeling of sinker electrodischarge machining processes
• Chapter 5 Modeling of interaction between precision machining process and machine tools
• Chapter 6 Large-scale molecular dynamics simulations of nanomachining
• Chapter 7 Multiobjective optimization of support vector regression parameters by teaching-learning-based optimization for modeling of electric discharge machining responses
• Chapter 8 Modeling of grind-hardening
• Chapter 9 Finite element modeling of mechanical micromachining
• Chapter 10 Modeling of materials behavior in finite element analysis and simulation of machining processes: Identification techniques and challenges
• Index