The paper describes the application of the primal-dual theory of limit and shakedown analysis in safety assessment and design of pressure components according to the new European approach to design by analysis. Two methods, the static and kinematic one, and their combination, the primal-dual method, are discussed. A numerical example is presented to show the robustness of the primal-dual method compared with two other methods recently used in two European projects on safety assessment and design.
Structural failure is initiated when a material is stressed beyond its strength limit. Determination of failure loads and failure location is one of the most important problems in design structures. This paper analyzed the failure of the hat-type laminated composite plate under a bending load. Based on the Reissner-Mindlin plate theory and isoparametric rectangular plate elements with five degrees of freedom per node, an algorithm and Matlab code were established to compute the stresses and bending failure load of the folded composite plate according to Tsai-Wu and Maximum stresses criteria. The numerical results are reliable when compared with the published results in the literature for some specific cases.
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