Finite Elements in Linear Viscoelasticity
Abstract
A stress analysis method is presented that includes the capability for transient, nonhomogeneous temperature distribution. The method is based on the following assumptions: linear viscoelasticity with hereditary integral form of stress-strain relation; validity of the reduced time hypothesis; bulk modulus constant in time; and a homogeneous, isotropic material. The associated, finite element computer program, called TAP (Thermoviscoelastic Analysis Program), is a plane strain formulation with uniform strain and linear temperature distribution assumed in each element. The element matrices involve superposition integrals which are approximated numerically for stepping out the time-varying solution. TAP solutions for simple problems are compared with exact and other approximate solutions and with other approximate methods to more complex problems. Different numerical procedures are considered, in particular one that avoids integration back to the time origin, thus minimizing computer storage and solution times.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1968
- Accession Number
- ADA446775
Entities
People
- J. L. White
Organizations
- Boeing