
Accession Number : AD0271471
Title : PLANESTRAIN AND GENERALIZED PLANESTRESS ANALYSIS OF A ROTATING VISCOELASTIC CYLINDER
Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS
Personal Author(s) : IGNACZAK,J.
Report Date : FEB 1962
Pagination or Media Count : 1
Abstract : The departure of the planestrain from the generalized planestress solution is explored quantitatively in connection with a particular boundaryvalue problem in the special case of isothermal viscoelastic theory. The problem is that of a viscoelastic circular cylinder which rotates about its geometric axis. The corresponding angular velocity is assumed to be switched on instantaneously at some initial instant and is supposed to be constant thereafter. The solutions obtained are particularize to each other in the initial elastic state, diverge monotonically as time progresses. It is also found that the generalized planestress value of the radial displacement at the periphery of the cylinder tends to infinity with time, while the corresponding displacement in the planestrain so to, and discussed numerically for, the Maxwell solid. It is found that the planestrain and the generalized planestress values of the hoop stress at the periphery of the cylinder, which are relatively close to each other in the initial elastic state, diverge monotonically as time progresses. It is also found that the generalized planestress value of the radial displacement at the periphery of the cylinder tends to infinity with time, while the corresponding displacement in the planestrain solution approaches a finite value in this limit. (Author)
Descriptors : *CYLINDRICAL BODIES, *FLUID FLOW, *STRESSES, BOUNDARY LAYER, ELASTIC PROPERTIES, ROTATION, SURFACES, VISCOSITY
Distribution Statement : APPROVED FOR PUBLIC RELEASE