Reciprocal Theorem and Other Integral Relations
- 298 Downloads
Chapter 5 develops reciprocal theorems for both fluids and elastic solids, then combines fundamental solutions derived in Chap. 4 with those theorems to obtain general integral representation expressions and integral equations. We also develop a more generalized electromechanical reciprocity theorem that is applicable to all elements (electrical, piezoelectric, and mechanical) of an ultrasonic measurement system. Results from this chapter serve as the foundation for many later applications, including transducer modeling (Chap. 8), flaw scattering (Chap. 10), and a general model of the entire ultrasonic measurement process (Chap. 12).
Unable to display preview. Download preview PDF.
- 3.J. H. Kane, Boundary Element Analysis (Prentice-Hall Englewood Cliffs, NJ, 1994).Google Scholar
- V. D. Kupradze, Dynamical problems in elasticity, in Progress in Solid Mechanics, vol. 3 (I. N. Sneddon and R. Hill, eds.) (North Holland, Amsterdam, 1963).Google Scholar
- V. K. Varadan and V. V. Varadan, eds., Elastic Wave Propagation and Scattering (Ann Arbor Science, Ann Arbor, Michigan, 1982).Google Scholar