Volume IV: Waves in Elastic and Viscoelastic Solids (Theory and Experiment)
Buch, Englisch, 334 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 608 g
ISBN: 978-3-540-13163-2
Verlag: Springer Berlin Heidelberg
Reissue of Encyclopedia of Physics / Handbuch der Physik, Volume VIa The mechanical response of solids was first reduced to an organized science of fairly general scope in the nineteenth century. The theory of small elastic deformations is in the main the creation of CAUCHY, who, correcting and simplifying the work of N AVIER and POISSON, through an astounding application of conjoined scholarship, originality, and labor greatly extended in breadth the shallowest aspects of the treatments of par ticular kinds of bodies by GALILEO, LEIBNIZ, JAMES BERNOULLI, PARENT, DANIEL BER NOULLI, EULER, and COULOMB. Linear elasticity became a branch of mathematics, culti vated wherever there were mathematicians. The magisterial treatise of LOVE in its second edition, 1906 - clear, compact, exhaustive, and learned - stands as the summary of the classical theory. It is one of the great "gaslight works" that in BOCHNER'S words! "either do not have any adequate successor[s] '" or, at least, refuse to be super seded.; and so they have to be reprinted, in ever increasing numbers, for active research and reference", as long as State and Society shall permit men to learn mathe matics by, for, and of men's minds. Abundant experimentation on solids was done during the same century. Usually the materials arising in nature, with which experiment most justly concerns itself, do not stoop easily to the limitations classical elasticity posits.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Wave Propagation in Nonlinear Viscoelastic Solids.- I. Introduction.- II. Experimental methods in one-dimensional wave propagation.- III. One-dimensional motions in materials with memory.- IV. Propagation of acoustic waves.- V. Propagation of one-dimensional steady waves.- VI. Growth and decay of one-dimensional shock waves.- VII. Growth and decay of one-dimensional acceleration waves.- VIII. Thermodynamic influences on viscoelastic wave propagation.- References.- Waves in Solids.- A. Introduction.- B. Foundations.- C. Equilibrium states.- D. Electromechanical interactions.- E. Material symmetry.- F. Exponentially damped plane waves.- G. Linear viscoelastic interactions.- H. Thermoviscoelastic media.- I. Small-amplitude waves that are sinusoidal in time.- J. Ultrasonic measurements as a function of static initial stress.- K. Analysis of ultrasonic measurements as a function of temperature.- L. Examples.- References.- Namenverzeichnis. — Author Index.- Sachverzeichnis (Deutsch-Englisch).- Subject Index (English-German).
