Abstract
A step-by-step linearized FE procedure is proposed for elastic-perfectly plastic analysis of structures accounting for geometry changes due to the appearance of an incremental (or immediate) collapse mechanism. Spatial skeletal structures are considered, with biaxial bending, torsion and axial forces taken into account. A linear programming formulation of the shakedown and limit analysis problems is adopted and the post-yield behaviour approach is used. The structure configuration is modified according to the kinematics of the collapse mode corresponding to the preceding step of the analysis. In this way, evolution of the shakedown load domain and of the limit load surface, following the structure deformation, is studied. The corresponding load multipliers obtained at a chosen level of acceptable deformation permit to determine the structure sensitivity to deformations due to the initiation of the immediate or incremental collapse process. Depending on this sensitivity, a modification of the nominal safety factor may be proposed. The case studies revealed some interesting features of the spatial structures behaviour during the advanced ratcheting process.
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Bondok, H.M.H., Janas, M. (1995). Plastic Analysis and Design of Skeletal Structures Accounting for their Sensitivity to Ratchetting. In: Mróz, Z., Weichert, D., Dorosz, S. (eds) Inelastic Behaviour of Structures under Variable Loads. Solid Mechanics and Its Applications, vol 36. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0271-1_23
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DOI: https://doi.org/10.1007/978-94-011-0271-1_23
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