A Lagrangian Formulation for Large Elastic Deformations of Thin Shells

The report presents a Lagrangian formulation for large elastic deformations of thin shells, particularly suitable for finite element analysis. A variational principle involving the rate of displacement is obtained. This principle is the starting point of an incremental analysis. The displacement fie...

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Bibliographic Details
Main Author: Dupuis,Georges A
Format: Report
Language:English
Subjects:
CALCULUS OF VARIATIONS
DEFORMATION
ELASTIC SHELLS
EULER-LAGRANGE EQUATIONS
FINITE ELEMENT ANALYSIS
LAGRANGIAN FUNCTIONS
Mechanics
NUMERICAL INTEGRATION
PARTIAL DIFFERENTIAL EQUATIONS
SHELLS(STRUCTURAL FORMS)
STRAIN(MECHANICS)
STRESSES
THINNESS
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Summary:The report presents a Lagrangian formulation for large elastic deformations of thin shells, particularly suitable for finite element analysis. A variational principle involving the rate of displacement is obtained. This principle is the starting point of an incremental analysis. The displacement field is integrated with respect to time by Euler's method and, for each step, a quadratic variational problem has to be solved. (Author)