Weight minimization of elastic plates using Reissner-Mindlin model and mixed-interpolated elements
Applications of Mathematics (1996)
- Volume: 41, Issue: 2, page 107-121
- ISSN: 0862-7940
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topHlaváček, Ivan. "Weight minimization of elastic plates using Reissner-Mindlin model and mixed-interpolated elements." Applications of Mathematics 41.2 (1996): 107-121. <http://eudml.org/doc/32940>.
@article{Hlaváček1996,
abstract = {The problem to find an optimal thickness of the plate in a set of bounded Lipschitz continuous functions is considered. Mean values of the intensity of shear stresses must not exceed a given value. Using a penalty method and finite element spaces with interpolation to overcome the “locking” effect, an approximate optimization problem is proposed. We prove its solvability and present some convergence analysis.},
author = {Hlaváček, Ivan},
journal = {Applications of Mathematics},
keywords = {Reissner-Mindlin plate model; mixed-interpolated elements; weight minimization; penalty method; Reissner-Mindlin plate model; mixed-interpolated elements; weight minimization; penalty method},
language = {eng},
number = {2},
pages = {107-121},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Weight minimization of elastic plates using Reissner-Mindlin model and mixed-interpolated elements},
url = {http://eudml.org/doc/32940},
volume = {41},
year = {1996},
}
TY - JOUR
AU - Hlaváček, Ivan
TI - Weight minimization of elastic plates using Reissner-Mindlin model and mixed-interpolated elements
JO - Applications of Mathematics
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 41
IS - 2
SP - 107
EP - 121
AB - The problem to find an optimal thickness of the plate in a set of bounded Lipschitz continuous functions is considered. Mean values of the intensity of shear stresses must not exceed a given value. Using a penalty method and finite element spaces with interpolation to overcome the “locking” effect, an approximate optimization problem is proposed. We prove its solvability and present some convergence analysis.
LA - eng
KW - Reissner-Mindlin plate model; mixed-interpolated elements; weight minimization; penalty method; Reissner-Mindlin plate model; mixed-interpolated elements; weight minimization; penalty method
UR - http://eudml.org/doc/32940
ER -
References
top- Reissner-Mindlin model for plates of variable thickness. Solution by mixed-interpolated elements, Appl. Math. 41 (1996), 57–78. (1996) MR1365139
- Weight minimization of an elastic plate with a unilateral inner obstacle by a mixed finite element method, Appl. Math. 39 (1994), 375–394. (1994) MR1288150
- Mixed and Hybrid Finite Element Methods, Springer-Verlag, New York, Berlin, 1991. (1991) MR1115205
- 10.1142/S0218202591000083, Math. Models and Meth. in Appl. Sci. 1 (1991), 125–151. (1991) MR1115287DOI10.1142/S0218202591000083
- Basic error estimates for elliptic problems. Handbook of Numer. Analysis, ed. by P. G. Ciarlet and J. L. Lions, vol. II, North-Holland, Amsterdam, 1991, pp. 17–352. (1991) MR1115237
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