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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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     author = {Hlav\'a\v{c}ek, Ivan},
     title = {Reliable solution of an elasto-plastic {Reissner-Mindlin} beam for {Hencky's} model with uncertain yield function},
     journal = {Applications of Mathematics},
     pages = {223--237},
     year = {1998},
     volume = {43},
     number = {3},
     doi = {10.1023/A:1023228608356},
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     zbl = {1042.74533},
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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

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