By A. S. Nowick
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Additional resources for Anelastic Relaxation in Crystalline Solids
T h e s e relations are shown in t h e table by arrows labeled with t h e n u m b e r of t h e equation (s) in t h e text t h a t gives the relationship. 3-10) Μ (ω) tan φ=Μ2/Μι given. O n e of these is t h e relation between t h e creep a n d stress relaxation functions, which is in fact a difficult relation t o use. A n o t h e r is t h e equality of M2/M1 and / 2 / / i · T h i s is a simple enough relation in itself; however, if o n e wishes to express M2 in t e r m s of J 2 it requires substituting t h e appropriate K r o n i g - K r a m e r s integrals for M1 a n d for J x.
3-10) Μ (ω) tan φ=Μ2/Μι given. O n e of these is t h e relation between t h e creep a n d stress relaxation functions, which is in fact a difficult relation t o use. A n o t h e r is t h e equality of M2/M1 and / 2 / / i · T h i s is a simple enough relation in itself; however, if o n e wishes to express M2 in t e r m s of J 2 it requires substituting t h e appropriate K r o n i g - K r a m e r s integrals for M1 a n d for J x. T h e resulting expression does n o t give M2 in t e r m s of J 2 directly b u t involves integrals of both of these functions.
Inspection of Fig. 3-1 shows that t h e Voigt model exhibits the following 44 3 17 = r / J J MECHANICAL MODELS AND DISCRETE SPECTRA Μ ( VOIGT MODEL FIG. 3 - 1 . T h e Voigt and Maxwell - τ Μ two-parameter models. MAXWELL MODEL features: Since a dashpot will not yield instantaneously, there can be n o deformation immediately u p o n application of stress. Therefore, if σ 0 is applied at t = 0, this stress m u s t be sustained entirely by the dashpot at t = 0. , creep will take place, 0 0 the stress becomes entirely sustained by the s p r i n g ; t h e until as t dashpot will then cease to flow since the stress u p o n it has vanished.
Anelastic Relaxation in Crystalline Solids by A. S. Nowick