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Stresses in equilibrium configurations of inextensible nets with slack

  1. 1.
    0474087 - MÚ 2018 RIV GB eng J - Článek v odborném periodiku
    Šilhavý, Miroslav
    Stresses in equilibrium configurations of inextensible nets with slack.
    Mathematics and Mechanics of Solids. Roč. 22, č. 4 (2017), s. 649-665. ISSN 1081-2865. E-ISSN 1741-3028
    Institucionální podpora: RVO:67985840
    Klíčová slova: three-dimensional space * stresses in equilibrium configurations
    Obor OECD: Applied mathematics
    Impakt faktor: 2.545, rok: 2017
    http://journals.sagepub.com/doi/full/10.1177/1081286515599597

    The paper deals with nets formed by two families of fibers (cords) which can grow shorter but not longer, in a deformation. The nets are treated as two-dimensional continua in the three-dimensional space. The inextensibility condition places unilateral constraint on the partial derivatives y,1 and y,2 of the deformation ... of the form... There is no deformation energy, the total energy reduces to the potential energy of the net under external forces. Equilibrium configurations are those of minimum energy. The stresses in equilibrium configurations thus reduce to the reactions to the constraints. Nonzero stresses occur only in tense regions where one or two constraints are satisfied with the equality sign. The paper follows the work of Paroni in treating the stress problem via the dual variational problem in the sense of convex analysis.
    Trvalý link: http://hdl.handle.net/11104/0271205

     
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