JAC: a two-dimensional finite element computer program for the non-linear quasistatic response of solids with the conjugate gradient method

Technical Report · Sun Apr 01 04:00:00 EST 1984

OSTI ID:5143561

Biffle, J H

The nonlinear conjugate gradient procedure is employed in the computer program JAC to solve quasi-static nonlinear mechanics problems. A set of continuum equations is used that is very convenient for use with the conjugate gradient method and accurately describes nonlinear mechanics involving large rotation and strain. The method is exploited in a two-dimensional plane strain or axisymmetric setting while using various methods for accelerating convergence. Sliding interface conditions are also implemented. A four-node Lagrangian uniform strain element is used with orthogonal hourglass viscosity to control the zero energy modes. Materials which can be modeled include temperature dependent elastic-plastic, soils, and secondary creep behaviors. The program is vectorized to perform on the CRAY 1 computer. Sample problems described are the bending of a thin beam, transverse crushing of a cylinder, extrusion of a plate and cylinder, bending of a laminated beam with interlaminear sliding and creeping of a cylinder.

• Research Organization: Sandia National Labs., Albuquerque, NM (USA)
• DOE Contract Number: AC04-76DP00789
• OSTI ID: 5143561
• Report Number(s): SAND-81-0998; ON: DE84008937
• Country of Publication: United States
• Language: English

Related Subjects

658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
COMPUTER CODES
COMPUTERIZED SIMULATION
COMPUTERS
CRAY COMPUTERS
CREEP
DEFORMATION
FINITE ELEMENT METHOD
FUNCTIONS
J CODES
LAGRANGIAN FUNCTION
MECHANICAL PROPERTIES
MECHANICS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PROGRAMMING
SIMULATION
SOLIDS
STRAINS
TWO-DIMENSIONAL CALCULATIONS
VECTOR PROCESSING