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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  3. Reliable solution of a quasilinear nonpotential elliptic problem of a nonmonotone type with respect to the uncertainty in coefficients, J. Math. Appl. 212 (1997), 452–466. (1997) MR1464890
  4. Reliable solutions of problems in the deformation theory of plasticity with respect to uncertain material function, Appl. Math. 41 (1996), 447–466. (1996) MR1415251
  5. Reliable solution of an elasto-plastic torsion problem, (to appear). (to appear) MR1857675
  6. Reliable solution of a Signorini contact problem with friction, considering uncertain data, (to appear). (to appear) MR1731015
  7. 10.1002/zamm.19920720104, Z. Angew. Math. Mech. 72 (1992), 29–43. (1992) MR1148885DOI10.1002/zamm.19920720104
  8. Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction, Elsevier, Amsterdam, 1981. (1981) MR0600655
  9. Modelling Analysis and Control of Thin Plates, Masson, Paris and Springer-Verlag, Berlin, 1989. (1989) MR0953313
  10. Structural Theorems and Their Applications, Pergamon Press, Oxford, 1964. (1964) Zbl0142.23603
  11. 10.1016/0045-7949(90)90106-C, Comput. & Structures 37 (1990), 769-776. (1990) DOI10.1016/0045-7949(90)90106-C

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