Fall (3) Mr. Hinders: (Prerequisite: Applied Science 723 or by instructor’s permission) This advanced graduate course considers wave propagation in solids with emphasis on the evaluation of materials and defects. Linear and non-linear wave propagation, mode analysis and mixing, reflection and refraction at interfaces, and wave scattering from defects in isotropic and anisotropic media are discussed, along with the relationship between wave behavior and the reconstruction of material constitutive equations. The course will also describe the practical aspects of the generation and detection of acoustic waves for non-destructive evaluation of materials. Students registering for this course should have had APSC 722 ``Introduction to Quantitative Nondestructive Evaluation'' or some equivalent preparation. Text for the course is ``Acoustic Fields and Waves in Solids, vols I and II'' 2nd Edition, by B.A. Auld (Robert E. Krieger, Malabar, FL, 1990). Suggested supplimentary text is ``Wave Motion in Elastic Solids'' by K.F. Graff (Dover, New York, 1991). Additional sources will be recommended and/or supplied. Homework exercises will be assigned each week, and take-home exams will be assigned at the middle and the end of the term. Additionally, a white paper with presentation will be done by each student.

The tentative schedule for the course is:

• Strain and Displacement
• Stress and Field Equations
• Constitutive Relations
• Acoustics
• Electromagnetics
• Power and Energy
• Plane Waves in Isotropic Solids
• Plane Waves in Anisotropic Solids
• Reflection and Refraction
• Acoustic Wavegudes

Open-book take-home exam will be assigned before Spring break, and will be due on the first class following it.

• Acoustic Waveguides
• Piezoelectricity
• Acoustic Resonators
• Perturbration Theory
• Variational Techniques
• Finite Difference/Element Methods

Closed-book take-home exam and white paper will be due during the regularly scheduled exam period for the course. Presentations will be scheduled during exam period.