## The finite element method in thin shell theory: application to arch dam simulations |

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### Contents

The Continuous Problem | 5 |

The Discrete Problem | 27 |

Implementation | 65 |

Copyright | |

7 other sections not shown

### Common terms and phrases

affine approximation arch dam ARGYRIS triangle barycentric coordinates BERNADOU bilinear form change of temperature CIARLET coefficient complete-H.C.T. triangle corresponding curvilinear coordinates defined deformed degrees of freedom denote derivatives description Place discrete problem displacement field DLGL downstream face equations error estimates face 32 triangles finite element method freedom associated global degrees inequality interpolation KOITER LAMBD Lemma linear loads matrix maxImum stress absolute middle surface mixed components Mnewt/m Name or description norm numerical analysis numerical integration scheme obtain parameters physical components Place of definition plane reduced-H.C.T. triangle regular family relations resp respect scales stresses second fundamental form second member modules shell theories SOBOLEV spaces solution strain energy strain tensor stress absolute value Stress distribution stresses lower subtriangle Symbol Name take into account temperature and water Theorem thermal thin shell triangle of type upstream wall variational formulation vector water pressure YOUNG's modulus