Reciprocity in Elastodynamics

Klappentext The reciprocity theorem has been used for over 100 years to establish interesting and useful relationships and to formulate problems. Internationally distinguished for his contributions to mechanics! Jan Achenbach presents a novel method of solving wave fields. The material presented here is relevant to applications in engineering and applied physics such as ultrasonics for medical imaging and non-destructive evaluation! acoustic microscopy! seismology! exploratory geophysics! and structural acoustics. Zusammenfassung Professor Achenbach discusses uses of reciprocity relations for the determination of elastodynamic fields! and presents a novel method to solve for wave fields by reciprocity of the actual field with a so-called virtual solution! shedding new light on the use of reciprocity relations for dynamic fields in elastic bodies. Inhaltsverzeichnis 1. Introduction; 2. Some elastodynamic theory; 3. Wave motion in an unbounded elastic solid; 4. Some simple applications of reciprocity; 5. Wave motion guided by a carrier wave; 6. Waves in an elastic layer; 7. Reciprocity considerations for the elastic layer; 8. Forced motion of an elastic layer; 9. Integral representations and integral equations; 10. Scattering waveguides and bounded bodies; Bibliography; Index.

Product details

• Authors: J. D Achenbach, J. D. Achenbach, J. D. (Northwestern University Achenbach, Jan Drewes Achenbach
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 26.02.2004
• EAN: 9780521817349
• ISBN: 978-0-521-81734-9
• No. of pages: 266
• Series: Cambridge Monographs on Mechan; Cambridge Monographs on Mechanics; Cambridge Monographs on Mechan
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Mechanics, acoustics; SCIENCE / Mechanics / Fluids, Classical mechanics, Mechanics of solids, Applied mathematics, Maths for scientists, Maths for engineers, Engineering: Mechanics of solids