منابع مشابه
“dynamics of Viscoelastic Anisotropic Media”
New principles are introduced for the formulation of dynamic problems in viscoelasticity for the most general case of anisotropy. One is a variational principle derived from irreversible thermodynamics. The other a correspondence principle between viscoelasticity and elasticity. Applications to the mmics of viscoelastic plates and rods are developed as examples. The variational principles are a...
متن کاملPlane waves in anisotropic viscoelastic media
Two concepts of plane waves in anisotropic viscoelastic media are studied. One of these concepts allows for the use of methods based on the theory of complete Bernstein functions. This allows for a deeper study of frequency-domain asymptotics of the attenuation function and timedomain regularity at the wavefronts. A relation between the direction of the energy flux density and the attenuation v...
متن کاملTheory of swimming filaments in viscoelastic media.
Motivated by our desire to understand the biophysical mechanisms underlying the swimming of sperm in the non-Newtonian fluids of the female mammalian reproductive tract, we examine the swimming of filaments in the nonlinear viscoelastic upper convected Maxwell model. We obtain the swimming velocity and hydrodynamic force exerted on an infinitely long cylinder with prescribed beating pattern. We...
متن کاملWaves in stratified viscoelastic media with microstructure
An extension of the O'Doherty and Anstey theory [R. F. O'Doherty and N. A. Anstey, Geophys. Prosp. 19, 430458 (1971)] is derived for waves in finely layered, anisotropic, viscoelastic media. Multiple scattering effects cause the direct wave to be delayed and broadened, subject to a deterministic integrodifferential delay equation. The kernel depends upon time-domain autocorrelations of reflecti...
متن کاملStress Singularities in Swelling Soft Solids.
When a swelling soft solid is rigidly constrained on all sides except for a circular opening, it will bulge out to expand as observed during decompressive craniectomy, a surgical procedure used to reduce stresses in swollen brains. While the elastic energy of the solid decreases throughout this process, large stresses develop close to the opening. At the point of contact, the stresses exhibit a...
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mechanics and Applied Mathematics
سال: 1989
ISSN: 0033-5614,1464-3855
DOI: 10.1093/qjmam/42.3.385