Accession Number : ADP006594
Title : Analysis and Computing Of Solutions to an evolution Problem in Nonlinear Viscoelasticity,
Corporate Author : CINCINNATI UNIV OH DEPT OF MATHEMATICAL SCIENCES
Personal Author(s) : French, Donald A.
Report Date : MAR 1992
Pagination or Media Count : 7
Abstract : Problems involving nonconvex energies where the equilibrium configuration may involve several phases have received alot of attention in recent years. We begin studying an evolution problem modeling the deformations of a simple viscoelastic material and a nonconvex energy. We show that the approximate solution given by a standard finite element method will converge at an optimal rate to the true solution. Through numerical computations we start to explore the long time behavior.
Descriptors : *VISCOELASTICITY, *NONLINEAR ANALYSIS, ATTENTION, BEHAVIOR, COMPUTATIONS, CONFIGURATIONS, DEFORMATION, ENERGY, MATERIALS, RATES, STANDARDS, TIME, SOLIDS, PROBLEM SOLVING, PARTIAL DIFFERENTIAL EQUATIONS, FINITE ELEMENT ANALYSIS.
Subject Categories : Fluid Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE