S. Mandayam/ NDE/ Fall 99 Principles of Nondestructive Evaluation Shreekanth Mandayam Graduate / Senior Elective 0909-504-01/0909-413-01 Fall 1999

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Presentation transcript:

S. Mandayam/ NDE/ Fall 99 Principles of Nondestructive Evaluation Shreekanth Mandayam Graduate / Senior Elective / Fall Lecture 2 9/20/99

S. Mandayam/ NDE/ Fall 99Plan Electromagnetic NDE methods Problem statement Maxwell’s equations Governing equations Static Quasi-static Wave Selection of class projects Open discussion 9/20/99

S. Mandayam/ NDE/ Fall 99 Problem Statement Amplitude, a Frequency, f Coupling device, c Specimen geometry, g Specimen material distribution, p Defect geometry, d Measurement system, m Energy input, x = F 1 (a, f) Signal output, y = F 2 (a, f, c, g, p, d, m)

S. Mandayam/ NDE/ Fall 99 Maxwell’s Equations

S. Mandayam/ NDE/ Fall 99 Maxwell’s Equations

S. Mandayam/ NDE/ Fall 99 Maxwell’s Equations

S. Mandayam/ NDE/ Fall 99 Constitutive Relationships

S. Mandayam/ NDE/ Fall 99 Electromagnetic NDE Methods

S. Mandayam/ NDE/ Fall 99 Static Phenomena: DC Potential Drop Elliptic partial differential equation

S. Mandayam/ NDE/ Fall 99 Static Phenomena: Magnetic Flux Leakage

S. Mandayam/ NDE/ Fall 99 Static Phenomena: MFL (contd.) Elliptic partial differential equation

S. Mandayam/ NDE/ Fall 99 Quasi-static Phenomena

S. Mandayam/ NDE/ Fall 99 Quasi-static Phenomena

S. Mandayam/ NDE/ Fall 99 Quasi-static Phenomena (contd.) Parabolic partial differential equation

S. Mandayam/ NDE/ Fall 99 Wave Phenomena

S. Mandayam/ NDE/ Fall 99 Wave Phenomena (contd.) Hyperbolic partial differential equation

S. Mandayam/ NDE/ Fall 99Reference William Lord, “Partial differential equations and the NDE inverse problem,” Review of Progress in Quantitative Nondestructive Evaluation, Vol. 7, pp , 1988

S. Mandayam/ NDE/ Fall 99 NDE Processes Elliptic Processes Parabolic Processes Hyperbolic Processes HIGH LOW HIGH Forward Problem Difficulty Inverse Problem Difficulty Informational Entropy

S. Mandayam/ NDE/ Fall 99 Class Projects 1. Ultrasound NDE: Neural nets for signal interpretation 2. Ultrasound NDE: Invariant signal recognition 3. Eddy current NDE: Simulating eddy current inspection of VLSI chips (proposal to NSF)

S. Mandayam/ NDE/ Fall 99 Class Projects 4. Eddy current NDE: Design and develop an eddy current instrument (measure amplitude and phase of voltage using commercial eddy current probes) 5. Microwave NDE: System set up and experimentation for detecting frayed insulation in aircraft wiring

S. Mandayam/ NDE/ Fall 99 Class Projects 6. Thermal NDE: Set up system to perform thermal imaging 7. Parallel Processing & Monte Carlo Modeling: Develop software for solving NDE forward problems using Monte Carlo techniques 8. Magnetic Flux Leakage NDE: Neural networks for invariant recognition

S. Mandayam/ NDE/ Fall 99 Class Projects Student specified projects: Check with instructor

S. Mandayam/ NDE/ Fall 99 Proposal Format Background Research Objective Proposed Methodology Deliverables Project timeline Please come prepared to present a project proposal for the next class meeting (Sep 27).