In summary, the distinction between numerical and analytical models in LPB-AM lies in their governing equations' complexity and realism. Rely on linearization and simplifying assumptions to obtain closed-form solutions. ✅ Simplicity: Prioritize ease of calculation. ✅ Steady-State Approximations: Assumptions of steady-state conditions for further simplification. ✅ Basic Thermodynamics Equations: Utilized for estimating temperature changes and heat transfer. ✅ Simplified Heat Conduction: May use simplified versions, disregarding complexities like phase changes. ✅ Governing Equations: Employ simplified forms aiming for closed-form or simple expressions. Requires numerical discretization techniques like FEA or FDM. ✅ Complexity: Involves solving complex, coupled PDEs considering nonlinearity, phase changes, and fluid-solid interactions. ✅ Stress-Strain Equations: Predict material deformation and stress (e.g., linear elasticity). ✅ Solidification/Melting Models: Capture phase changes with latent heat and kinetics considerations. ✅ Navier-Stokes Equations: Applied for fluid flow analysis (e.g., molten metal). ✅ Heat Transfer Equation: Accounts for temperature distribution during laser heating, incorporating sources, convection, and radiation. ✅ Governing Equations: Utilize partial differential equations (PDEs) to describe intricate processes. Analytical Models in Laser Powder Bed Additive Manufacturing (LPB-AM): A Closer Look at Governing Equations #materials #characterization #materialsscience #engineering #materialsengineering #technology #stem #mohanpathak Machine Learning and AI for Materials AnalysisĪnything missing/misplaced? Do let me know in the comments! In Situ Transmission Electron Microscopy (In Situ TEM) Electrochemical Impedance Spectroscopy (EIS) Ultraviolet-Visible Spectroscopy (UV-Vis)Įlectrochemical and Surface Interactions: Electron Paramagnetic Resonance Spectroscopy (EPR/ESR) Differential Scanning Calorimetry (DSC) Time-of-Flight Secondary Ion Mass Spectrometry (TOF-SIMS) Photoemission Electron Microscopy (PEEM) Electron Energy Loss Spectroscopy (EELS) Energy-Dispersive X-ray Spectroscopy (EDS/EDX) Nuclear Magnetic Resonance Spectroscopy (NMR) Fourier Transform Infrared Spectroscopy (FTIR) High-Resolution Scanning Transmission Electron Microscopy (HR-STEM) Electron Backscatter Diffraction (EBSD) Here is an exhaustive list of materials characterization techniques used in materials science, classified based on the application or property studied:
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