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

Applications of Mathematics

Volumn 43, Issue 3, 1998, Pages 223-237

  Hlaváček, Ivan ^a  

^a MATHEMATICAL INSTITUTE   (Czech Republic)

Author keywords

Elasto plastic beams; Hencky's model of plasticity; Mindlin Timoshenko beam; Uncertain data

Indexed keywords

EID: 0009736953     PISSN: 08627940     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023228608356     Document Type: Article

References (11)

1. Ekeland, I., Temam, R.: Convex Analysis and Variational Problems. North-Holland, Amsterdam, 1976.
2. Hlaváček, I.: Reliable solutions of elliptic boundary problems with respect to uncertain data. Proceedings of the WCNA-96. Nonlinear Analysis, Theory, Methods & Applications 30 (1997), 3879-3890.
3. Hlaváček, I.: Reliable solution of a quasilinear nonpotential elliptic problem of a non-monotone type with respect to the uncertainty in coefficients. J. Math. Appl. 212 (1997), 452-466.
4. Hlaváček, I.: Reliable solutions of problems in the deformation theory of plasticity with respect to uncertain material function. Appl. Math. 41 (1996), 447-466.
5. Hlaváček, I.: Reliable solution of an elasto-plastic torsion problem. To appear.
6. Hlaváček, I.: Reliable solution of a Signorini contact problem with friction, considering uncertain data. To appear.
7. Hlaváček, I., Lovíšek, J.: Optimal design of an elastic or elasto-plastic beam with unilateral elastic foundation and rigid supports. Z. Angew. Math. Mech. 72 (1992), 29-43.
8. Nečas, J., Hlaváček, I.: Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction. Elsevier, Amsterdam, 1981.
9. Lagnese, J. E., Lions, J.-L.: Modelling Analysis and Control of Thin Plates. Masson, Paris and Springer-Verlag, Berlin, 1989.
10. Neal, B. G.: Structural Theorems and Their Applications. Pergamon Press, Oxford, 1964.
11. Rakowski, J.: The interpretation of the shear locking in beam elements. Comput. & Structures 37 (1990), 769-776.