Linear finite element methods for planar linear elasticity
Journal Article
·
· Mathematics of Computation; (United States)
A linear nonconforming (conforming) displacement finite element method for the pure displacement (pure traction) problem in two-dimensional linear elasticity for a homogeneous isotropic elastic material is considered. In the case of a convex polygonal configuration domain, error estimates in the energy (L[sup 2]) norm are obtained. The convergence rate does not deteriorate for nearly incompressible material. Furthermore, the convergence analysis does not rely on the theory of saddle point problems. 22 refs.
- OSTI ID:
- 6701044
- Journal Information:
- Mathematics of Computation; (United States), Journal Name: Mathematics of Computation; (United States) Vol. 59:200; ISSN 0025-5718; ISSN MCMPAF
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
BOUNDARY-VALUE PROBLEMS
CALCULATION METHODS
COMPRESSIBILITY
CONVERGENCE
DIAGNOSTIC USES
ELASTICITY
FINITE ELEMENT METHOD
ISOTROPY
MATHEMATICAL MODELS
MECHANICAL PROPERTIES
NUMERICAL SOLUTION
TENSILE PROPERTIES
TWO-DIMENSIONAL CALCULATIONS
USES
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
BOUNDARY-VALUE PROBLEMS
CALCULATION METHODS
COMPRESSIBILITY
CONVERGENCE
DIAGNOSTIC USES
ELASTICITY
FINITE ELEMENT METHOD
ISOTROPY
MATHEMATICAL MODELS
MECHANICAL PROPERTIES
NUMERICAL SOLUTION
TENSILE PROPERTIES
TWO-DIMENSIONAL CALCULATIONS
USES