Finite element approximation of a new variational principle for compressible and incompressible linear isotropic elasticity

Conference · Tue Oct 31 23:00:00 EST 1989 · Applied Mechanics Reviews; (United States)

OSTI ID:5516558

Franca, L P ^[1]; Stenberg, R ^[2]

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1. Laboratorio Nacional de Computacao Cientifica, Rio de Janeiro (Brazil)
2. Helsinki Univ. of Technology, Espoo (Finland)

Stability conditions are described to analyze a variational formulation emanating from a variational principle for linear isotropic elasticity. The variational principle is based on four dependent variables (namely, the strain tensor, augmented stress, pressure, and displacement) and is shown to be valid for any compressibility including the incompressible limit. An improved convergence error analysis is established for a Galerkin-least-squares method based upon these four variables. The analysis presented establishes convergence for a wide choice of combinations of finite element interpolations.

• OSTI ID: 5516558
• Report Number(s): CONF-8901202--
• Journal Information: Applied Mechanics Reviews; (United States), Journal Name: Applied Mechanics Reviews; (United States) Vol. 42:11; ISSN 0003-6900; ISSN AMREA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420200* -- Engineering-- Facilities
Equipment
& Techniques
CAUCHY PROBLEM
ELASTICITY
FINITE ELEMENT METHOD
GALERKIN-PETROV METHOD
ISOTROPY
ITERATIVE METHODS
MECHANICAL PROPERTIES
NUMERICAL SOLUTION
PRESSURE EFFECTS
STRAINS
STRESSES
TENSILE PROPERTIES