Accession Number:

ADA285886

Title:

The Tensor Equation AX+XA=Phi (A, H) with Applications to Kinematics of Continua

Descriptive Note:

Final rept. Mar 1992-Mar 1993

Corporate Author:

ARMY RESEARCH LAB ABERDEEN PROVING GROUND MD

Personal Author(s):

Report Date:

1994-09-01

Pagination or Media Count:

50.0

Abstract:

The secon-order tensor equation AX XA Phi A,H is studied for certain isotropic functions Phi A,H which are linear in H. Qualitative properties of the solution X and relations between the solutions for forms of Phi are established for an inner product space of arbitrary dimension. These results, together with Rivlins identities for tensor polynomials in two variables, are applied in three dimension to obtain new explicit formulas for X in direct tensor notation as well as new derivations of previously known formulas. Several applications to the kinematics of continua are considered. Kinematics, Matrix equations, Tensors

Subject Categories:

  • Numerical Mathematics
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE