Accession Number:

AD0702875

Title:

APPROXIMATE SOLUTION OF PLANE ORTHOTROPIC ELASTICITY PROBLEMS5

Descriptive Note:

Final rept. Apr 68-Oct 69,

Corporate Author:

BELL AEROSYSTEMS CO BUFFALO N Y

Report Date:

1970-01-01

Pagination or Media Count:

366.0

Abstract:

The purpose of this study is to compare and evaluate a number of approximate methods for the solution of plane orthotropic elasticity problems. The methods under consideration fall into three main categories. The first category is perturbation methods, which are based on the assumption that the behavior of the orthotropic material under a particular loading is not greatly different than the behavior of some nearby isotropic material under the same loading. The second category is the so-called boundary residual methods. In these techniques the assumed families of functions are required to satisfy all the equations of elasticity internally but none of the boundary conditions. The boundary conditions are then satisfied approximately in accordance with the particular boundary residual criterion under consideration. The two criteria that are examined in this report are the integral least squares and boundary Reissner energy methods. The third category of approximate methods is that for which the assumed functions may have to satisfy some, but not all, of the equations of elasticity internally and certain of the boundary conditions. The other equations of elasticity and the other boundary conditions if any are then satisfied approximately in accordance with the particular method. Author

Subject Categories:

  • Statistics and Probability
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE