Generalized finite strains, generalized stresses, and a hybrid variational principle for finite-element computer programs using curvilinear coordinates

Technical Report · Sat Apr 01 04:00:00 EST 1989

DOI:https://doi.org/10.2172/6288515· OSTI ID:6288515

Cook, W. A.

A Generalized hybrid variational principle is presented that includes, as special cases, hybrid variational principles for the Lagrangian and Eulerian formulations. This generalized hybrid principle approximates force equilibrium and constitutive equations. This report is an extension of a similar report entitled ''Generalized Finite Strains, Generalized Stresses, and a Hybrid Variational Principle for Finite-Element Computer Programs.'' The difference between these reports is in the use of curvilinear coordinates. Presented in these reports are two approaches for solving nonlinear stress analysis problems with this generalized hybrid variational principle. Both approaches use the finite-element method: one iterates the nodal displacements, and the other iterates the incremental displacements. 5 refs.

• Research Organization: Los Alamos National Lab., NM (USA)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 6288515
• Report Number(s): LA-11546-MS; ON: DE89009923
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420200* -- Engineering-- Facilities
Equipment
& Techniques
99 GENERAL AND MISCELLANEOUS
990220 -- Computers
Computerized Models
& Computer Programs-- (1987-1989)
COMPUTER ARCHITECTURE
FINITE ELEMENT METHOD
ITERATIVE METHODS
NUMERICAL SOLUTION
STRAINS
STRESS ANALYSIS
STRESSES
VARIATIONAL METHODS