The Mathematics of Thermal Modeling: An Introduction to the Theory of Laser Material Processing
The Mathematics of Thermal Modeling: An Introduction to the Theory of Laser Material Processing
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DOI：
10.1201/9781420035629
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发表时间：
2001-05
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影响因子：
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通讯作者：
J. Dowden
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文献类型：
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作者：
J. Dowden
热建模 简介 有纲数和无量纲数 两个示例 物理原理 控制方程 边界条件 方程和条件摘要 块和板中的温度 温度分布 点源解 板中的温度分布 菲涅耳吸收 线源解 块中的时依解 时依一维解 冷表面加热 时依点和线来源 材料元素的热历史 移动边界问题 Stefan 问题 Neumann 问题 简单模型 激光匙孔焊接的原理 激光匙孔焊接点和线源模型 吸收功率与匙孔半径之间的关系 液体/蒸汽界面 匙孔数值示例 匙孔焊接中的流体区域 焊池中的流动 焊池中的运动与匙孔的相互作用 激光加热匙孔中的蒸气 热弹性问题 热膨胀 结痂 金属工件中的混凝土二维模型应力结论附录 1：材料性能值附录 2：半无限域的弹性格林函数参考书目索引
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