Accession Number:

AD0462075

Title:

ON VARIATIONAL PRINCIPLES IN FINITE ELASTICITY.

Descriptive Note:

Technical rept.,

Corporate Author:

STANFORD UNIV CA DIV OF ENGINEERING MECHANICS

Personal Author(s):

• Huang, N. C.
• Lee, E. H.

Report Date:

1965-03-01

Pagination or Media Count:

18.0

Abstract:

In this paper, two variation principles are formulated for the theory of finite elasticity. The first variational principle is an extension of Hu and Washizus variational principle and the second is a generalization of the theory of stationary potential energy in classical elastostatics. New variational variables are introduced. The Euler equations are Rivlins field equations expressed in terms of undeformed state variables for the theory of finite elasticity. Three examples are solved by the variational technique for illustrative pruposes. Author

Descriptors:

• (*ELASTIC PROPERTIES
• THEORY)
• DEFORMATION
• TENSOR ANALYSIS
• STRESSES
• STRAIN (MECHANICS)
• CALCULUS OF VARIATIONS
• NUMERICAL METHODS AND PROCEDURES
• MECHANICS

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE