• an mpec approach for the critical post-collapse behavior of rigid-plastic structures

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1392/01/01
    • تاریخ انتشار در تی پی بین: 1392/01/01
    • تعداد بازدید: 687
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     this paper presents a numerical method to identify and trace the critical post-collapse response of rigid perfectly-plastic structures. to account for the possibility of multiple equilibrium paths, the critical one is directly identified using the minimum 2nd-order work criterion. our proposed enhanced sequential limit analysis is formulated as an instance of the challenging class of optimization problems known as a mathematical program with equilibrium constraints (mpec). this mpec formulation minimizes the 2nd-order work expression subject to the set of constraints describing the complete complementarity system (in mixed static-kinematic variables) governing simultaneously the two adjacent equilibrium configurations, namely the current one and its neighboring state. we use a nonlinear programming based algorithm, involving relaxation of the complementarity terms, to solve the mpec. four numerical examples are provided to illustrate application of the proposed scheme.

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