New inequality and functional for contact with friction - The implicit standard material approach

Journal Article · Sun Sep 01 00:00:00 EDT 1991 · Mechanics of Structures and Machines; (United States)

DOI:https://doi.org/10.1080/08905459108905146· OSTI ID:5763774

De saxce, G; Feng, Z Q ^[1]

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1. Mons, Universite de l'Etat (Belgium) Compiegne, Universite de Technologie (France)

The paper is devoted to the analysis of the 2D or 3D elastic contact problem with Coulomb friction, quasi-static equilibrium, and small displacements. The classical approach is based on two minimum principles, or variational inequalities: the first for unilateral contact and the second for friction. In practical applications involve an algorithm of alternately solving the two problems until convergence is achieved. A coupled approach using one principle or one inequality only is presented. The approach, based on a model of material called implicit standard, allows for extension of the notion of a normality law to dissipative behavior with a nonassociated flow rule, such as surface friction. For numerical time integration of the laws, Moreau's implicit method is considered. Nondifferentiable potentials are regularized by means of the augmented Lagrangian technique. 41 refs.

• OSTI ID: 5763774
• Journal Information: Mechanics of Structures and Machines; (United States), Vol. 19; Other Information: MSMAE; ISSN 0890-5452
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
MECHANICAL STRUCTURES
SLIDING FRICTION
ALGORITHMS
CALCULATION METHODS
CONVERGENCE
DISPLACEMENT RATES
ENERGY LOSSES
INTERFACES
LAGRANGIAN FUNCTION
PLASTICITY
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
VARIATIONAL METHODS
FRICTION
FUNCTIONS
LOSSES
MATHEMATICAL LOGIC
MECHANICAL PROPERTIES
420200* - Engineering- Facilities
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