Accession Number:

ADA010559

Title:

Stability of an Elastic Cube under Dead Loading: Two Equal Forces.

Descriptive Note:

Technical rept.,

Corporate Author:

LEHIGH UNIV BETHLEHEM PA CENTER FOR THE APPLICATION OF MATHEMATICS

Personal Author(s):

• Sawyers,Kn. N.

Report Date:

1975-05-01

Pagination or Media Count:

42.0

Abstract:

A cube of incompressible neo-Hookean material undergoes a pure homogeneous deformation and is held in equilibrium by three specified pairs of equal and opposite forces, two of which are the same, applied normally to its faces and uniformly distributed over them. The possible equilibrium states are determined and the stability of each is studied with respect to arbitrary superposed infinitesimal deformations. The stability limits are found to be different from those obtained when only infinitesimal deformations having the same principal directions as those of the basic equilibrium state are considered. The differences arise from rotational and shearing types of instabilities that may occur in the general case. A critical inference is drawn concerning the nature of the dead loading conditions employed.

Descriptors:

• *LOADS(FORCES)
• *DEFORMATION
• STRESSES
• NUMERICAL ANALYSIS
• ELASTIC PROPERTIES
• DIFFERENTIAL EQUATIONS
• INCOMPRESSIBILITY

Subject Categories:

• Solid State Physics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE