Accession Number : ADA089668


Title :   A Nonlinear Hyperbolic Volterra Equation in Viscoelasticity.


Descriptive Note : Technical summary rept.,


Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER


Personal Author(s) : Dafermos,C M ; Nohel,J A


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a089668.pdf


Report Date : Jun 1980


Pagination or Media Count : 36


Abstract : A general model for the nonlinear motion of a one dimensional, finite, homogeneous, viscoelastic body is developed and analysed by an energy method. It is shown that under physically reasonable conditions the nonlinear boundary, initial value problem has a unique, smooth solution (global in time), provided the given data are sufficiently 'small' and smooth, moreover, the solution and its derivatives of first and second order decay to zero as t yields infinity. Various modifications and generalizations, including two and three dimensional problems, are also discussed.


Descriptors :   *VOLTERRA EQUATIONS , STRESS STRAIN RELATIONS , ONE DIMENSIONAL , VISCOELASTICITY , MOTION , BOUNDARY VALUE PROBLEMS , NONLINEAR ANALYSIS


Subject Categories : Numerical Mathematics
      Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE