Ductile failure of cylindrically porous materials : Part II: next term other cases of symmetry

Pastor, Joseph;Francescato, Pascal;Trillat, Malorie;Loute, Etienne;Rousselier, G
(2004) European Journal of Mechanics A - Solids — Vol. 23, n° 2, p. 191-201 (2004)

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Authors
  • Pastor, JosephUCLouvain
    Author
  • Francescato, Pascal
    Author
  • Trillat, Malorie
    Author
  • Loute, EtienneUSL-B
    Author
  • Rousselier, G
    Author
Abstract
In a companion paper (previous termPartnext term I) we investigated the plane stress case in order to compare it with specific tensile tests. In the present paper, the Gurson problem is investigated in other cases of symmetry, including the most general 3D-plane case. Once the problem is outlined, we will present its formulation in terms of limit analysis (LA), then a new method to obtain a linear programming (LP) problem very suitable for modern LP codes based on Interior Point algorithms. The results indicate that a Gurson-like formulation cannot correctly represent the general solution, as in the plane stress case of previous termPartnext term I. A realistic global formulation could be specified in terms of all loading parameters, without using the restriction induced by an equivalent stress form.
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  • Louvain School of ManagementOperations and Information

Citations

Pastor, J., Francescato, P., Trillat, M., Loute, E., & Rousselier, G. (2004). Ductile failure of cylindrically porous materials : Part II: next term other cases of symmetry. European Journal of Mechanics A - Solids, 23(2), 191-201. https://doi.org/10.1016/j.euromechsol.2003.12.002 (Original work published 2004)