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Communication Dans Un Congrès Année : 2019

Intrinsic Incremental Mechanics

Résumé

We produce a coordinate free presentation of some concepts usually involved in incremental mechanics (tangent linear stiffness matrix, stability, loading paths for example) but not always well founded. Thanks to the geometric language of vector bundles, a well defined geometrical object may be associated to each of these tools that allows us to understand some latent difficulties linked with these tools due to the absence of a natural connection and also to extend some of our recent results of linear stability to a non linear framework.
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Dates et versions

hal-02975914 , version 1 (23-10-2020)

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Citer

Jean Lerbet, Noël Challamel, François Nicot, Félix Darve. Intrinsic Incremental Mechanics. 4th International SEE Conference on Geometric Science of Information (GSI), Société Mathématique de France, Aug 2019, Toulouse, France. pp.51-54, ⟨10.1007/978-3-030-26980-7_6⟩. ⟨hal-02975914⟩
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