The Mathematics of Thermal Modeling —— An Introduction to the Theory of Laser Material Processing

----- 热建模中的数学

ISBN: 9781584882305 出版年：2001 页码：305 Dowden, John Michael Chapman and Hall/CRC

THERMAL MODELING Introduction Dimensions and Dimensionless Numbers Two Examples PHYSICAL PRINCIPLES Governing Equations Boundary Conditions Summary of Equations and Conditions THE TEMPERATURE IN BLOCKS AND PLATES The Temperature Distribution The Point Source Solution The Temperature Distribution in Plates Fresnel Absorption The Line Source Solution TIME DEPENDENT SOLUTIONS IN BLOCKS Time Dependent One-Dimensional Solutions Surface Heating from Cold Time-Dependent Point and Line Sources The Thermal History of a Material Element MOVING BOUNDARY PROBLEMS Stefan Problems Neumann's Problem SIMPLE MODELS OF LASER KEYHOLE WELDING Laser Keyhole Welding Point and Line Source Models The Relation between Power Absorbed and Keyhole Radius The Liquid/Vapor Interface The Keyhole Numerical Examples THE FLUID REGIONS IN KEYHOLE WELDING Flow in the Weld Pool Interaction of Motion in the Weld Pool with the Keyhole Laser Heating of the Vapor in the Keyhole THERMO-ELASTIC PROBLEMS Thermal Expansion The Scabbing of Concrete Two-Dimensional Models Stresses in a Metal Work Piece Conclusion APPENDIX 1: VALUES OF MATERIAL PROPERTIES APPENDIX 2: ELASTIC GREEN'S FUNCTIONS FOR A SEMI-INFINITE DOMAIN BIBLIOGRAPHY INDEX