Geodesic
Reliable solution of an elasto-plastic Reissner-Mindlin beam for Hencky's model with uncertain yield function
Applications of Mathematics, Tome 43 (1998) no. 3, pp. 223-237.

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We apply the method of reliable solutions to the bending problem for an elasto-plastic beam, considering the yield function of the von Mises type with uncertain coefficients. The compatibility method is used to find the moments and shear forces. Then we solve a maximization problem for these quantities with respect to the uncertain input data.
DOI : 10.1023/A:1023228608356
Classification : 49A29, 73E99, 73K05, 74C05, 74K10, 74P10
Keywords: elasto-plastic beams; Hencky’s model of plasticity; Mindlin-Timoshenko beam; uncertain data 
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     title = {Reliable solution of an elasto-plastic {Reissner-Mindlin} beam for {Hencky's} model with uncertain yield function},
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Hlaváček, Ivan. Reliable solution of an elasto-plastic Reissner-Mindlin beam for Hencky's model with uncertain yield function. Applications of Mathematics, Tome 43 (1998) no. 3, pp. 223-237. doi : 10.1023/A:1023228608356. http://geodesic.mathdoc.fr/articles/10.1023/A:1023228608356/

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