Author | Destuynder, Philippe. author |
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Title | Mathematical Analysis of Thin Plate Models [electronic resource] / by Philippe Destuynder, Michel Salaun |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1996 |
Connect to | http://dx.doi.org/10.1007/978-3-642-51761-7 |
Descript | X, 236 p. 39 illus. online resource |
I โ Plate models for thin structures -- I.0 โ A short description of the chapter -- I.1 โ The three dimensionnal elastic-model -- I.2 โ The Kirchhoff-Love assumption -- I.3 โ The Kirchhof f-Love plate model -- I.4 โ The Naghdi model revisited using mixed variational formulation -- I.5 โ About the rest of the book -- References of Chapter I -- II โ Variational formulations for bending plates -- II.0 โ A brief summary of the chapter -- II. 1 โ Why a mixed formulation for plates -- II.2 โ The primal variational formulation for Kirchhoff-Love model -- II.3 โ The Reissner-Mindlin-Naghdi model for plates -- II.4 โ Natural duality techniques for the bending plate model -- II.5 โ A comparison between the mixed method and the one of section II.2.4 -- References of Chapter II -- III โ Finite element approximations for several plate models -- III.0 โ A summary of the chapter -- III. 1 โ Basic results in finite element approximation -- III.2 โ C1 elements -- III.3 โ Primal finite element methods for bending plates -- III.4 โ The penalty-duality finite element method for the bending plate model -- III.5 โ Numerical approximation of the mixed formulation for a bending plate -- References of Chapter III -- IV โ Numerical tests for the mixed finite element schemes -- IV.0 โ A brief description of the chapter -- IV. 1 โ Precision tests for the mixed formulation -- IV.2 Vectorial and parallel algorithms for mixed elements -- IV.3 โ Concluding remarks -- References of Chapter IV -- V โ A Numerical model for delamination of composite plates -- V.O โ A brief description of the chapter -- V. 1 โ What is delamination of thin multilayered plates -- V.2 โ The three-dimensional multilayered composite plate model with delamination -- V.3 โ A plate model for large delamination -- V.4 โ The three-dimensional energy release rate -- V.5 โ The mechanical example and the numerical method -- V.6 โ Concluding remarks -- References of Chapter V