Viscoplastic stratified composites: shear flows and stability

✍ Scribed by D.V. Georgievskii

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 127 KB
• Volume: 76
• Category: Article
• ISSN: 0045-7949
• DOI: 10.1016/s0045-7949(99)00160-1

✦ Synopsis

The general formulation of the problem of stability with respect to low three-dimensional disturbances of some space ¯ow of non-homogeneous medium with vector linear constitutive relations but scalar non-linear ones, are given. The main ¯ow may be, in general, unsteady. Non-homogeneity is understood both by density and viscoplastic properties. A presence of rigid zones (¯ow kernels'') is taken into account in general formulation; the conditions on surfaces of these zones are written. In cases when (a) kinematic boundary conditions are ®xed on all surfaces and (b) rigid zones are absent (hard wall'' approximation), the integral relation method (IRM) is used and developed for obtaining sucient estimates of disturbance decay or growth. These estimates involve physico-mechanical, rheological, and geometric parameters of non-disturbed ¯ow.