An Optimal Size of a Rigid Thin Stiffener Reinforcing an Elastic Two-Dimensional Body on the Outer Edge View Full Text


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Article Info

DATE

2018-08

AUTHORS

Nyurgun Lazarev, Galina Semenova

ABSTRACT

The equilibrium problem for a two-dimensional body with a crack is studied. We suppose that the body consists of two parts: an elastic part and a rigid thin stiffener on the outer edge of the body. Inequality-type boundary conditions are prescribed at the crack faces providing a non-penetration between the crack faces. For a family of variational problems, dependence of their solutions on the length of the thin rigid stiffener is investigated. It is shown that there exists a solution of an optimal control problem. For this problem, the cost functional is defined by a continuous functional on a solution space, while the length parameter serves as a control parameter. More... »

PAGES

614-626

References to SciGraph publications

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  • 2016-07. Optimal control of the layer size in the problem of equilibrium of elastic bodies with overlapping domains in JOURNAL OF APPLIED AND INDUSTRIAL MATHEMATICS
  • 2014-01. Parameter-free optimum design method of stiffeners on thin-walled structures in STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
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  • 2016-02. Fictitious domain method for an equilibrium problem of the Timoshenko-type plate with a crack crossing the external boundary at zero angle in JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
  • 2016-04. Numerical solution of an equilibrium problem for an elastic body with a thin delaminated rigid inclusion in JOURNAL OF APPLIED AND INDUSTRIAL MATHEMATICS
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    http://scigraph.springernature.com/pub.10.1007/s10957-018-1291-8

    DOI

    http://dx.doi.org/10.1007/s10957-018-1291-8

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1103816745


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