Nappi, A. System identification for yield limits and hardening moduli in discrete elastic-plastic structures by nonlinear programming. (English) Zbl 0498.73032 Appl. Math. Modelling 6, 441-448 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 74S30 Other numerical methods in solid mechanics (MSC2010) 74C99 Plastic materials, materials of stress-rate and internal-variable type 49M37 Numerical methods based on nonlinear programming 74R20 Anelastic fracture and damage 49J40 Variational inequalities 65K05 Numerical mathematical programming methods Keywords:numerical tests; inverse problem; system identification; discrete structures; elastic-plastic piece wise-linear behaviour; elastic limits; hardening moduli; identified on basis of information on displacements; set of proportional loads; minimization of non-convex objective function; nonlinear inequality constraints; convergence towards local minima; least-squares linear-Taylor differential-correction technique; complementarity Software:FCDPAK PDFBibTeX XMLCite \textit{A. Nappi}, Appl. Math. Modelling 6, 441--448 (1982; Zbl 0498.73032) Full Text: DOI References: [1] Hart, G. C.; Yao, J. T.P., System identification in structural dynamics, J. Eng. Mech. Div., Proc. ASCE, 103, 6, 1089 (1977) [2] Ibanez, P., Identification of dynamic parameters of linear and nonlinear structural models from experimental data, Nucl. Engl Design, 25, 30 (1972) [3] Jurina, L., On model identification problems in rock mechanics, (Proc. Symp. Geotechnics of Structurally Complex Formations. Proc. Symp. Geotechnics of Structurally Complex Formations, Capri (1977)), 287-295 [4] Gioda, G.; Maier, G., Direct search solution of an inverse problem in elastoplasticity: identification of cohesion, friction angle and in situ stress by pressure tunnel tests, Int. J. Numer. Meth. in Eng., 15, 1823 (1980) · Zbl 0452.73064 [5] Gatto, F., Structural analysis and design of aluminium reduction cells, Alluminio, 12, 1-11 (1978) [6] Maier, G., Indirect identification of yield limits by mathematical programming, Eng. Struct., 4, 86 (1982) [7] Best, M. J., FCDPAK: a FORTRAN IV subroutine to solve differentiable mathematical programmes (1972), Department of Combinatorics and Optimization, University of Waterloo [8] Nappi, A., Identificazione indiretta dei limits elastici e dei coefficients di incrudimento in strutture elastoplastiche discrete (1981), Atti IX Convegno AIAS [9] Maier, G., Quadratic programming and theory of elastic-perfectly plastic structures, Meccanica, 3, 265 (1968) · Zbl 0181.53704 [10] Maier, G., Inverse problem in engineering plasticity: a quadratic programming approach, Atti Ace. Naz. dei Lincei, Cl. Sc., Apr. (1982) [11] Fiacco, A. V.; McCormick, G. P., Nonlinear programming: sequential unconstrained minimization techniques (1968), John Wiley: John Wiley Trieste · Zbl 0193.18805 [12] Avriel, M., Nonlinear programming: analysis and methods (1976), Prentice Hall: Prentice Hall New York · Zbl 0361.90035 [13] Robinson, S. M., A quadratically-convergent algorithm for general nonlinear programming problems, Math. Programming, 3, 145 (1972) · Zbl 0264.90041 [14] Maier, G., Mathematical programming methods for deformation analysis at plastic collapse, Comput. Struct., 7, 599 (1977) · Zbl 0364.73002 [15] Mc Calla, T. R., Introduction to numerical methods and FORTRAN programming (1967), John Wiley: John Wiley Englewood Cliffs [16] Cugiani, M., Metodi dellanalisi numerica (1972), UTET: UTET London [17] Korn, G. A.; Korn, T. M., (Mathematical handbook for scientists and engineers (1961), McGraw-Hill) · Zbl 0121.00103 [18] Maier, G., Statistical identification of yield limits in piecewiselinear structural models, (Proc. ISCME Int. Conf Comput. Meth. and Experimental Measurements. Proc. ISCME Int. Conf Comput. Meth. and Experimental Measurements, Washington, D.C. (June 1982)) 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.