A mixed finite element method for the arches assembly problem

We consider a loaded arches assembly problem with a common thickness.To approximate the solution of this problem, we consider the geometry of the global structure as the limit of a sequence of regular functions, thereafter we approach each component of the sequence by its interpolant function. An au...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2001-08, Vol.190 (42), p.5569-5582
Main Authors: Benlemlih, A., El Alami El Ferricha, M.
Format: Article
Language:English
Subjects:
Applied sciences
Assembly
Buildings. Public works
Computational techniques
Exact sciences and technology
Finite element
Finite-element and galerkin methods
Fundamental areas of phenomenology (including applications)
Lagrange multipliers
Mathematical methods in physics
Mixed method
Physics
Solid mechanics
Static elasticity
Static elasticity (thermoelasticity...)
Strength of materials (elasticity, plasticity, buckling, etc.)
Structural analysis. Stresses
Structural and continuum mechanics
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Summary:We consider a loaded arches assembly problem with a common thickness.To approximate the solution of this problem, we consider the geometry of the global structure as the limit of a sequence of regular functions, thereafter we approach each component of the sequence by its interpolant function. An augmented discrete mixed finite element method, which takes into account an approximation of the geometry, is then formulated in order to give a suitable approximation of the solution.
ISSN:0045-7825
1879-2138
DOI:10.1016/S0045-7825(01)00184-0