On kinematic method in shakedown theory: II. Modified kinematic method |
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| Affiliation: | 1. School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, China;1. Department of Engineering, University of Ferrara, Via Saragat 1, 44100 Ferrara, Italy;2. Department of Architecture, Built Environment & Construction Engineering ABC, Technical University of Milan, Piazza Leonardo da Vinci 32, 20133 Milan, Italy |
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| Abstract: | A kinematic method for the safety factor calculation is studied in the case of shakedown problem with the polyhedron set of variable loads. The time variable is eliminated, and a simple explicit formula is derived for the kinematic functional when it is considered on a set of regular fields. Conditions are established under which the infimum of functional with respect to such fields equals the safety factor. A finite element discretization of the kinematic extremum problem is considered, and convergence of minimums of the discretized problems to the safety factor is proved. |
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