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

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Presentation on theme: "S. Mandayam/ NDE/ Fall 99 Electromagnetic NDE Methods Shreekanth Mandayam Principles of Nondestructive Evaluation Graduate / Senior Elective 0909-504-01/0909-413-01."— Presentation transcript:

1 S. Mandayam/ NDE/ Fall 99 Electromagnetic NDE Methods Shreekanth Mandayam Principles of Nondestructive Evaluation Graduate / Senior Elective 0909-504-01/0909-413-01 Fall 1999 September 20, 1999

2 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

3 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)

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

5 S. Mandayam/ NDE/ Fall 99 Constitutive Relationships

6 S. Mandayam/ NDE/ Fall 99 Electromagnetic NDE Methods

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

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

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

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

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

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

13 S. Mandayam/ NDE/ Fall 99 Wave Phenomena

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

15 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. 425-430, 1988

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

17 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).

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