Počet záznamů: 1

Geometrical setting of solid mechanics

  1. 1.
    0360074 - UTAM-F 2012 RIV NL eng J - Článek v odborném periodiku
    Fiala, Zdeněk
    Geometrical setting of solid mechanics.
    Annals of Physics. Roč. 326, č. 8 (2011), s. 1983-1997 ISSN 0003-4916
    Grant CEP: GA ČR(CZ) GA103/09/2101
    Výzkumný záměr: CEZ:AV0Z20710524
    Klíčová slova: solid mechanics * Lagrangian system * time-discrete approximation
    Kód oboru RIV: BE - Teoretická fyzika
    Impakt faktor: 2.857, rok: 2011

    The starting point in the geometrical setting of solid mechanics is to represent deformation process of a solid body as a trajectory in a convenient space with Riemannian geometry, and then to use the corresponding tools for its analysis. Based on virtual power of internal stresses, we show that such a configuration space is the (globally) symmetric space of symmetric positive-definite real matrices. From this unifying point of view, we shall analyse the logarithmic strain, the stress rate, as well as linearization and intrinsic integration of corresponding evolution equation.
    Trvalý link: http://hdl.handle.net/11104/0197712
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