viii TABLE OF CONTENTS CHAPTER TITLE PAGE DECLARATION DEDICATION ACKNOWLEDGEMENT ABSTRACT ABSTRAK TABLE OF CONTENTS LIST OF TABLES LIST OF FIGURES LIST OF SYMBOLS iii iv v vi vii viii xi xii xiv 1 INTRODUCTION 1.1 Overview 1.2 Problem statement 1.3 Objectives of study 1.4 Scope of study 1.5 Significance of study 1 1 3 3 4 5 2 LITERATURE REVIEW 2.1 Introduction 2.2 Previous models of laser welding 2.3 Pulsed Nd:YAG Laser Welding Processes 2.3.1 Nd:YAG laser advantages 2.3.2 Laser power 2.3.3 Focal point position 2.4 Welding material 6 6 6 9 9 10 13 14 3 THEORY 3.1 Introduction 3.2 Nd:YAG laser 3.2.1 Pulsed Nd:YAG laser 3.3 Gaussian Beam 17 17 17 18 19 ix 3.4 3.5 3.6 Depth of Focus Interaction of laser radiation with materials Reflectivity of metals 23 24 26 4 RESEARCH METHODOLOGY 4.1 Introduction 4.2 Experimental setup 4.2.1 Laser source 4.2.2 Fiber optic delivery system 4.2.3 Welding workstation 4.3 Welding materials 4.3.1 Material preparation 4.4 Welding measurement 4.4.1 Measurement calibration 4.5 Welding characterization 4.6 Theoretical consideration and mathematical modeling 30 30 32 34 36 36 37 38 39 41 42 43 5 THEORETICAL ANALYSIS ON Nd:YAG LASER MICRO WELDING 5.1 Introduction 5.2 Mathematical model of a weld penetration depth 5.3 Mathematical model of laser beam penetration 44 44 44 54 EXPERIMENTAL ANALYSIS OF A SPOT WELD 60 6.1 6.2 60 60 61 6 6.3 6.4 Introduction Penetration depth and width of a spot weld 6.2.1 Penetration depth and weld width for various laser peak powers 6.2.2 Penetration depth and weld width for various pulse durations 6.2.3 Penetration depth and weld width for various focus point positions 6.2.4 Penetration depth and weld width for various angles of incidence 6.2.5 Penetration depth and weld width for various number of pulse shots Welding characterization Laser output characteristics 65 66 68 71 73 77 x 7 8 TENSILE STRENGTH ANALYSIS OF A WELD JOINT 79 7.1 7.2 7.3 7.4 7.5 79 79 81 82 84 Introduction Tensile strength of a single spot welding Tensile strength of a seam welding Tensile strength for various number of spots Tensile strength of stainless steel control sample CONCLUSION 8.1 Summary 8.2 Suggestions for future work 85 85 86 REFERENCES APPENDICES A-C 87 98 xi LIST OF TABLES TABLE NO. DESCRIPTION 4.1 Laser parameters for Unitek Miyachi LW10E ultra compact pulsed Nd:YAG laser Properties of stainless steel and Invar 4.2 PAGE 35 38 xii LIST OF FIGURES FIGURE NO. DESCRIPTION 2.1 2.2 2.3 Output characteristics of various welding laser sources Depth/width ratio versus peak power density Comparison between the experimental results and the model for 6mm bead-on-plate laser welding weld size Thermal conductivity (Wm-1 0C-1) and specific heat (J kg-1 0C-1) as a function of temperature (0C) Energy level of Nd:YAG laser Parameters of the laser pulse Focused laser beam onto material surface Rayleigh range and beam waist for Gaussian beam The depth of focus (DOF) of laser beam Absorbed laser radiation into materials Reflectivity as a function of wavelength for several metals Parallel and perpendicular-polarized light Spectral, directional reflectivity of platinum at 2µm Flow chart of the research methodology Laser Welding System (LW4000S) Experimental setup Nd:YAG laser schematic diagram Laser welding workstation Stainless steel with thickness 1.0mm Optical Microscopy equipped with CCD video camera. Optical Microscopy magnification lenses and specimen stage Weld dimensions measurement using Matrox Inspector 2.1 software 1.0mm of length measurement using Matrox Inspector 2.1 software FESEM and EDX system INSTRON Series IX/s Automated Materials Tester System A model of penetration depth of a spot weld Model predicted penetration depth versus peak power with various reflectivities Model predicted enetration depth versus peak power for different pulse durations Model predicted penetration depth versus pulse duration for different peak powers Model predicted penetration depth versus peak power and pulse duration 2.4 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.1 4.2 4.3 4.4 4.5 4.6 4.7a 4.7b 4.8 4.9 4.10 4.11 5.1 5.2 5.3 5.4 5.5 PAGE 11 11 14 15 18 19 20 21 23 26 28 29 31 33 33 34 37 39 40 40 40 41 42 43 45 48 49 50 51 xiii 5.6a 5.6b 5.7 5.8 5.9 5.10 5.11 6.1 6.2 6.3a 6.3b 6.4a 6.4b 6.5a 6.5b 6.6 6.7 6.8a 6.8b 6.9a 6.9b 6.10 6.11 6.12 6.13 6.14 7.1 7.2 7.3a 7.3b 7.4 7.5 Model predicted penetration depth versus laser spot radius for different laser peak powers Model predicted penetration depth versus laser spot radius for different pulse durations Model predicted penetration depth versus peak power and radius of laser beam A schematic diagram showing the model of laser beam penetration in stainless steel specimen Model predicted peak power versus depth and radius of laser beam Model predicted peak power versus depth and time Model predicted peak power versus radius and time Cross sections of penetration depth Weld width Penetration depth versus laser peak power Weld width versus laser peak power Penetration depth versus pulse duration Weld width versus pulse duration Penetration depth versus focus point position Weld width versus focus point position Cross section of penetration depth for different angle of incidence Weld width at angle of incidence of 65 degrees Penetration depth versus angle of incidence Weld width versus angle of incidence Penetration depth versus number of pulse shots Weld width versus number of pulse shots FESEM micrograph of a weld surface (a)Formation of weld pool, (b)Surface cracking and porosity FESEM micrographs of a weld joint of stainless steel specimen (a) butt joint and (b) lap joint EDX analysis for welded stainless steel, (a)FESEM image shows the location of EDX analysis region, Spectrum 1 is a base material region and Spectrum 2 is a welded material region.(b)Element composition of stainless steel,(c)Element composition of welded stainless steel Pulse Energy versus Pulse Duration Peak Power versus Pulse Energy Tensile strength test of a single spot welding Tensile strength test of a seam welding Tensile strength of butt joint for various number of spots Tensile strength of lap joint for various number of spots Maximum tensile strength for various number of spots Tensile strength of stainless steel control sample 51 52 53 54 57 58 58 61 62 63 63 65 65 67 67 69 69 70 70 72 72 74 75 76 77 78 80 81 82 83 83 84 xiv LIST OF SYMBOLS a Į A A ls c D f I0 J0 k K Lm l n P p parallel p perpendicular p ȡ r T Tm T0 t R µ w0 Y0 Ȝ z z0 Aperture of a lens Thermal diffusivity Applied laser power Laser spot area Specific heat Depth of heat penetration Focal length Power density First order of Bessel function Wave number Thermal conductivity Latent heat of fusion Weld penetration depth Medium refractive index Laser beam peak power Reflectivity for parallel-polarized light Reflectivity for perpendicular-polarized light Reflectivity average value for unpolarized light Material density Laser beam radius Temperature Melting temperature Room temperature Pulse duration Material reflectivity Material absorption coefficient Beam waist Second order of Bessel function Wavelength Direction of depth Rayleigh range