Accession Number:

ADA242095

Title:

Time Rates of Generalized Strain Tensors. Part 2. Approximate Basis-Free Formulas

Descriptive Note:

Final technical rept. Jan-Aug 90,

Corporate Author:

ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD

Personal Author(s):

Report Date:

1991-10-01

Pagination or Media Count:

27.0

Abstract:

Utilizing the component formulas derived in Part I, we obtain approximate basis-free formulas for the material time derivative of a generalized Lagrangian strain tensor and for the Jaumann rate of a generalized Eulerian strain tensor. These formulas provide good estimates when the shear strains are small, regardless of the volumetric strain and the strain rate. We also derive explicit bounds for the error in the approximate formulas. By applying our general results to the logarithmic strain tensors, we obtain improved versions of approximate basis-free formulas due to Hill and Gurtin and Spear.

Subject Categories:

  • Numerical Mathematics
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE