By A. S. Nowick

ISBN-10: 0125226500

ISBN-13: 9780125226509

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C. Wave propagation experiments (which m a y be called " s u p r a r e s o n a n t " since ω ; > ω Γ) . H e r e we obtain t h e attenuation s/which measures the internal friction and the velocity vy which is proportional to º. T h e relations between t h e quantities measured in these various experiments are simple only if is small compared to unity. [In m o s t cases t h e relations m a y be used u p to = 0 . 1 , although corrections u p to 5 % may be involved for this value of . , E q . 7-2) It should be recalled that one difference between t h e d y n a m i c response functions obtained from the s u b r e s o n a n t type of experiment a n d t h e quantities measured in resonant or wave propagation experiments is that the former functions are characteristic only of t h e anelasticity of t h e 28 1 CHARACTERIZATION OF ANELASTIC BEHAVIOR system while some of the latter include the inertia of t h e system and sample dimensions.

O n the other hand, for tx o o , Ntl is obtained by subtracting the value of the creep function at time t -f- t1 from that at t. I n view of E q s . 1-4), it is n o longer necessary to treat t h e aftereffect function as if it were distinct from t h e creep function; t h e r e fore, the function Ntl will n o longer be considered in t h e further developm e n t of the theory. J(t + t | h -J(t) F I G . 2 - 1 . Illustration of the aftereffect function as given by Eq. 1-3). R e t u r n i n g n o w to our development of the consequences of t h e s u p e r position principle, we see that for a stress history in which a is varied continuously instead of in discrete steps, E q .

At the same time, t h e resonant frequency obeys t h e relation: ω Γ2 oc º. c. Wave propagation experiments (which m a y be called " s u p r a r e s o n a n t " since ω ; > ω Γ) . H e r e we obtain t h e attenuation s/which measures the internal friction and the velocity vy which is proportional to º. T h e relations between t h e quantities measured in these various experiments are simple only if is small compared to unity. [In m o s t cases t h e relations m a y be used u p to = 0 . 1 , although corrections u p to 5 % may be involved for this value of .

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Anelastic Relaxation in Crystalline Solids by A. S. Nowick


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