On the use of potential theory for thermal modeling in metal cutting / Matthias Brockmann.

Format:

Book

Author/Creator:

Brockmann, Matthias, author.

Series:

Ergebnisse aus der produktionstechnik ; Band 52/2015

Language:

English

German

Subjects (All):

Metal-cutting--Mathematical models.

Metal-cutting.

Potential theory (Mathematics).

Thermal analysis.

Physical Description:

1 online resource (159 p.)

Edition:

1. Auflage.

Place of Publication:

Aachen : Apprimus Verlag, 2015.

Language Note:

In English and German.

Summary:

Evolving temperature distributions during metal cutting are of major significance. Present analytical models are not capable to predict temperature fields to a sufficient degree. This lack of model validity is caused by the limited mathematical approaches. The present thesis deals with the development of methodologies for thermal modeling based on a class of complex functions termed potential functions. This approach has never been used before for metal cutting applications.

Contents:

Content; 1 Introduction; Einleitung; 2 State of the Art; 2.1 Model Verification and Validation; 2.2 Significance of Thermal Effects in Metal Cutting; 2.3 Thermal Conceptual Models in Metal Cutting Theory; 2.4 Fundamentals of Heat Transfer; 2.4.1 Fourier's Law of Heat Flux; 2.4.2 Partial Differential Equation for Heat Conduction; 2.4.3 Thermal Boundary Conditions; 2.5 Analytical Thermal Models; 2.5.1 Mathematical Models; 2.5.2 Overview of Analytical Computational Models; 2.6 Fundamentals of Potential Theory; 2.7 Use of Potential Theory in Metal Cutting

2.8 Conclusions from the State of the Art3 Objectives and Scientific Approach; 4 Elementary Solutions Approach; 4.1 Complex Temperature and Heat Flow Field Function; 4.2 Methodology for Derivation of Complex Functions for Cutting; 4.2.1 Superposition of Elementary Functions; 4.2.2 Model Parameter Study; 4.2.3 Calibration of Model Parameters; 4.2.4 Correlation of Model and Cutting Parameters; 4.3 Model Outcomes; 4.3.1 Temperature Field; 4.3.2 Heat Flow Field; 4.4 Conclusions from Elementary Solutions Approach; 5 Panel Method Approach; 5.1 Fundamentals of Panel Methods

5.2 Methodology for the Application of Source Panels5.2.1 Discretization of Cutting Kinematics; 5.2.2 Consideration of Thermal Boundary Conditions; 5.2.3 Generating the Potential Function; 5.2.4 Calibration; 5.3 Model Outcomes; 5.3.1 Temperature Distribution Fields; 5.3.2 Consideration of Wear and Tool Geometry; 5.4 Intermediate Conclusions from Panel Method; 6 Model Validation; 6.1 Description of Conducted Cutting Experiments; 6.1.1 Measurement Devices and Method; 6.1.2 Cutting Experiments on Fundamental Test Rig; 6.1.3 Cutting Experiments on Broaching Machine

6.2 Investigation of Thermal Boundary Conditions6.3 Validation of Presented Approaches; 6.3.1 Validation of the Elementary Solutions Approach; 6.3.2 Validation of Panel Method Approach; 6.4 Conclusion and Comparison of Both Approaches; 7 Comparison to Other Modeling Approaches; 7.1 Comparison to Conventional Modeling Approaches; 7.2 Comparison to the Finite Element Method; 7.3 Intermediate Conclusion and Assessment; 8 Summary and Outlook; Zusammenfassung und Ausblick; 9 References; 10 Appendix; 10.1 Definitions of Characteristic Thermal Values; 10.2 Detailed Mathematical Derivations

10.3 Source Codes10.4 Result Tables from Cutting Experiments; Leere Seite

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on online resource; title from PDF title page (ebrary, viewed March 7, 2016).

ISBN:

9783863594015

3863594010