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  • 标题:Bore Expansion In A Circular Sheet Of Elastoplastic Material Using Slow Elastoviscoplasticity Through The Differential Equations On A Manifold Method.
  • 本地全文:下载
  • 作者:Nando Troyani
  • 期刊名称:Mecánica Computacional
  • 印刷版ISSN:2591-3522
  • 出版年度:2002
  • 卷号:XXI
  • 期号:18
  • 页码:1668-1674
  • 出版社:CIMEC-INTEC-CONICET-UNL
  • 摘要:In this work the differential equations on a manifold method (DEM) was used to
    determine different mechanical responses of elastic-viscoplastic materials for the particular
    case of a bore expansion in a circular plane sheet subjected to radial tensile uniform
    displacements at the outer edge. In particular, the large deformation in-plane strain and
    stresses were determined for a bore expansion ratio of 1.6, consideration is given to
    anisotropic effects, and hardening. The DEM strategy consists in giving approximate finite
    element representation to deformations, effective plastic deformation and to the displacement
    functions, at the same time the constitutive equations of large deformation hyper-elastoviscoplasticity
    are approximated by collocation at the centroids of the triangular finite
    elements used. The result of these approximations is the generation of a system of algebraicdifferential
    equations. In addition, since the formulation is based on the principle of virtual
    work, the fundamental requirement of equilibrium is guaranteed at all computational steps
    using the described procedure. The method, initially devised for viscoplastic materials, is
    extended herein for elastoplastic situations, where deformation rates are negligible. To this
    end very slow deformation rates were used, thus simulating the elastoplastic response, as a
    limiting case, using very slow elastoviscoplasticity. The results using the proposed strategy
    exhibit excellent agreement when compared with existing accepted results using different
    methods.
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