Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics

Demyanov, V. F.; Stavroulakis, Georgios Ε.; Polyakova, Lyudmila N.; Panagiotopoulos, P. D.

doi:10.1007/978-1-4615-4113-4

Cited by 172 publications

(69 citation statements)

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“…For the second order limit analysis the problem is simplified; we have only linear and bilinear conditions and functions with the exception of one quadratic inequality. For solving of this problem we use methods [17]. We can notice that the solution of shakedown problem on condition of stability (2.17) may not exist.…”

Section: Problems Of Finding Optimum Limits Of Repeatedly Variable Lomentioning

confidence: 99%

Limit Analysis of Geometrically Hardening Composite Steel-Concrete Systems / Stany Graniczne Geometrycznie Wzmacniających Się Konstrukcji Zespolonych

Alawdin¹,

Urbańska²

2023

Civil and Environmental Engineering Reports

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The paper considers some results of creating load-carrying composite systems that have uprated strength, rigidity and safety, and therefore are called geometrically (self-) hardening systems. The optimization mathematic models of structures as discrete mechanical systems withstanding dead load, monotonic or low cyclic static and kinematic actions are proposed. To find limit parameters of these actions the extreme energetic principle is suggested what result in the bilevel mathematic programming problem statement. The limit parameters of load actions are found on the first level of optimization. On the second level the power of the constant load with equilibrium preloading is maximized and/or system cost is minimized. The examples of using the proposed methods are presented and geometrically hardening composite steel-concrete system are taken into account.

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Section: Problems Of Finding Optimum Limits Of Repeatedly Variable Lomentioning

confidence: 99%

Limit Analysis of Geometrically Hardening Composite Steel-Concrete Systems / Stany Graniczne Geometrycznie Wzmacniających Się Konstrukcji Zespolonych

Alawdin¹,

Urbańska²

2023

Civil and Environmental Engineering Reports

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“…A number of problems arising in structural analysis, mechanics, and economics can be studied in the framework of this kind of variational inclusions; see, for instance, [7,12,19] and the references therein. The problem includes many important problems as special cases.…”

Section: Preliminariesmentioning

confidence: 99%

Approximation of solutions of quasi-variational inclusions and fixed points of nonexpansive mappings

Li¹,

Zhao²

2016

J. Nonlinear Sci. Appl.

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“…A number of problems arising in structural analysis, mechanics, and economics can be studied in the framework of the multivalued quasi variational inclusions; see for example, [3,26,28].…”

Section: Preliminariesmentioning

confidence: 99%

Three-Step Iterative Algorithms for Multivalued Quasi Variational Inclusions

Noor

2001

Journal of Mathematical Analysis and Applications

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In this paper, we suggest and analyze some new classes of three-step iterative algorithms for solving multivalued quasi variational inclusions by using the resolvent equations technique. New iterative algorithms include the Ishikawa, Mann, and Noor iterations for solving variational inclusions (inequalities) and optimization problems as special cases. The results obtained in this paper represent an improvement and a significant refinement of previously known results.

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Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics

Cited by 172 publications

References 0 publications

Limit Analysis of Geometrically Hardening Composite Steel-Concrete Systems / Stany Graniczne Geometrycznie Wzmacniających Się Konstrukcji Zespolonych

Limit Analysis of Geometrically Hardening Composite Steel-Concrete Systems / Stany Graniczne Geometrycznie Wzmacniających Się Konstrukcji Zespolonych

Approximation of solutions of quasi-variational inclusions and fixed points of nonexpansive mappings

Three-Step Iterative Algorithms for Multivalued Quasi Variational Inclusions

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