Reliable solution of an elasto-plastic Reissner-Mindlin beam for Hencky's model with uncertain yield function

Ivan Hlaváček

Applications of Mathematics (1998)

  • Volume: 43, Issue: 3, page 223-237
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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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 43.3 (1998): 223-237. <http://eudml.org/doc/33008>.

@article{Hlaváček1998,
abstract = {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.},
author = {Hlaváček, Ivan},
journal = {Applications of Mathematics},
keywords = {elasto-plastic beams; Hencky’s model of plasticity; Mindlin-Timoshenko beam; uncertain data; Mindlin-Timoshenko beam},
language = {eng},
number = {3},
pages = {223-237},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Reliable solution of an elasto-plastic Reissner-Mindlin beam for Hencky's model with uncertain yield function},
url = {http://eudml.org/doc/33008},
volume = {43},
year = {1998},
}

TY - JOUR
AU - Hlaváček, Ivan
TI - Reliable solution of an elasto-plastic Reissner-Mindlin beam for Hencky's model with uncertain yield function
JO - Applications of Mathematics
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 43
IS - 3
SP - 223
EP - 237
AB - 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.
LA - eng
KW - elasto-plastic beams; Hencky’s model of plasticity; Mindlin-Timoshenko beam; uncertain data; Mindlin-Timoshenko beam
UR - http://eudml.org/doc/33008
ER -

References

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