zbMATH — the first resource for mathematics

A nonlinear programming approach to the unilateral contact-, and friction-boundary value problem in the theory of elasticity. (English) Zbl 0332.73018

74B99 Elastic materials
74H99 Dynamical problems in solid mechanics
49L99 Hamilton-Jacobi theories
PDF BibTeX Cite
Full Text: DOI
[1] Argyris, J. H.: Continua and discontinua. Proc. Conf. Marix Meth. Struct. Mech., Wright-Patterson A.F.B., Dayton Ohio, 1967
[2] Drucker, D. C.: Variational Principles in the Mathematical Theory of Plasticity. Proc. 1956 Symp. in Appl. Math. Vol. 8, New York, 1958 · Zbl 0072.19203
[3] Dupuis, G., Probst, A.: Etude d’une structure élastique soumise á des conditions unilatérales. J. Mécanique 6 (1967) p. 1-41 · Zbl 0161.44002
[4] Duvaut, G., Lions, J. L.: Les inéquations en Mécanique et en Physique. Paris 1972 · Zbl 0298.73001
[5] Fichera, G.: Problemi elastostatici con vincoli unilaterali: il problema di Signorini con ambique condition al contorno. Mem. Acc. Naz. Lincei VIII 7 (1964) p. 91-140 · Zbl 0146.21204
[6] Frémond, M.: Solid resting on a stratified medium. Proc. 1972 Conf. Variational Meth. in Engineering, Vol. II, Southampton Univ. Press 1973
[7] Himmelblau, D.: Applied Nonlinear Programming. New York, 1972 · Zbl 0241.90051
[8] Lions, J. L.: Optimal Control of Systems Governed by Partial Differential Equations. Berlin 1971 · Zbl 0203.09001
[9] Maier, G.: Mathematical programming methods in Structural Analysis. Proc. 1972 Conf. Variational Meth. in Engineering, Vol. II, Southampton Univ. Press 1973 · Zbl 0362.90130
[10] Mikhlin, S. G., The problem of the minimum of a quadratic functional. San Francisco, 1965 · Zbl 0121.32801
[11] Nitsiotas, G.: Die Berechnung statisch unbestimmter Tragwerke mit einseitigen Bindungen. Ing.-Arch. 41 (1971) S. 46-60 · Zbl 0227.73124
[12] Panagiotopoulos, P. D.: Stress-Unilateral Analysis of Discretized Cable- and Membran-Structures in the Presence of Large Displacements. Ing.-Arch. 44 (1975) S. 291-300 · Zbl 0356.73056
[13] Panagiotopoulos, P. D.: Stochastic Calculation of Foundations with Elastic Unilateral and Friction Boundary Conditions. Proc. 2nd Intern. Conf. on the Applications of Statistics and Probability in Soil and Structural Engineering 1975, Aachen. Publ. by Deutsche Gesellschaft für Erd- und Grundbau e.V., 1975 · Zbl 0332.73018
[14] Rockafellar, R. T.: Convex Analysis. Princeton Univ. Press 1970 · Zbl 0193.18401
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.