The Non Linear Theory of Shells Through Variational Principles: From Elementary Algebra to Differential Geometry - Hardcover

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9780471954941: The Non Linear Theory of Shells Through Variational Principles: From Elementary Algebra to Differential Geometry

Inhaltsangabe

This treatise utilizes an intrinsic geometrical co-ordinate-free method to analyze mechanical structures. The method uses linear mappings defined on tangent planes of a bidimensional manifold whose interpretation by tensors is straightforward, but whose geometrical meaning is much easier.

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Reseña del editor

This book provides new nonlinear variational principles of shells in statics and dynamics in an intrinsic, compact and coordinate-free method. Primal displacements formulation, classical mixed principles and new static and dynamic formulations devoted to dual principles are addressed in the first part. The second part deals with static and dynamic stability, including some original developments relative to mixed or dual principles. Finally, new computational strategies are given. An appendix, in text-book style, called "From Elementary Algebra to Differential Geometry, " provides all the mathematics and notations needed in a new intrinsic presentation.

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