N. P. Lazarev, “An iterative penalty method for a nonlinear problem of equilibrium of a Timoshenko-type plate with a crack”, Sib. Zh. Vychisl. Mat., 14:4 (2011), 397–408; Num. Anal. Appl., 4:4 (2011), 309

Loading [MathJax]/jax/output/CommonHTML/config.js

Sibirskii Zhurnal Vychislitel'noi Matematiki

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Sib. Zh. Vychisl. Mat.:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Sibirskii Zhurnal Vychislitel'noi Matematiki, 2011, Volume 14, Number 4, Pages 397–408 (Mi sjvm449)

This article is cited in 14 scientific papers (total in 14 papers)

An iterative penalty method for a nonlinear problem of equilibrium of a Timoshenko-type plate with a crack

N. P. Lazarev^ab

^a Research Institute of Mathematics of Yakut State University, Yakutsk
^b M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk

Full-text PDF (230 kB) Citations (14)

References:

PDF

HTML

Abstract: A variational problem of equilibrium of an elastic Timoshenko-type plate in a domain with a slit is considered. A nonpenetration boundary condition in the form of an inequality is specified on the edges of the slit. A penalized equation and an iterative linear equation in integral and differential forms are constructed. Some results on solution convergence and an error estimate are obtained.

Key words: crack, Timoshenko-type plate, penalty operator, energy functional, variational problem.

Received: 15.12.2010
Revised: 17.03.2011

English version:
Numerical Analysis and Applications, 2011, Volume 4, Issue 4, Pages 309–318
DOI: https://doi.org/10.1134/S1995423911040045

Bibliographic databases:

Document Type: Article

UDC: 539.311

Language: Russian

Citation: N. P. Lazarev, “An iterative penalty method for a nonlinear problem of equilibrium of a Timoshenko-type plate with a crack”, Sib. Zh. Vychisl. Mat., 14:4 (2011), 397–408; Num. Anal. Appl., 4:4 (2011), 309–318

Citation in format AMSBIB

\Bibitem{Laz11}

\by N.~P.~Lazarev

\paper An iterative penalty method for a~nonlinear problem of equilibrium of a~Timoshenko-type plate with a~crack

\jour Sib. Zh. Vychisl. Mat.

\yr 2011

\vol 14

\issue 4

\pages 397--408

\mathnet{http://mi.mathnet.ru/sjvm449}

\transl

\jour Num. Anal. Appl.

\yr 2011

\vol 4

\issue 4

\pages 309--318

\crossref{https://doi.org/10.1134/S1995423911040045}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84155187184}

Linking options:

https://www.mathnet.ru/eng/sjvm449

https://www.mathnet.ru/eng/sjvm/v14/i4/p397

This publication is cited in the following 14 articles:

Victor A. Kovtunenko, Nyurgun P. Lazarev, “Variational inequality for a Timoshenko plate contacting at the boundary with an inclined obstacle”, Phil. Trans. R. Soc. A., 382:2277 (2024)
Lazarev N., Romanova N., Semenova G., “Optimal Location of a Thin Rigid Inclusion For a Problem Describing Equilibrium of a Composite Timoshenko Plate With a Crack”, J. Inequal. Appl., 2020:1 (2020), 29
Lazarev N., Neustroeva N., “Optimal Control of Rigidity Parameter of Elastic Inclusions in Composite Plate With a Crack”, Mathematics and Computing (Icmc 2018), Springer Proceedings in Mathematics & Statistics, 253, eds. Ghosh D., Giri D., Mohapatra R., Sakurai K., Savas E., Som T., Springer, 2018, 67–77
Lazarev N.P., Das S., Grigoryev M.P., “Optimal Control of a Thin Rigid Stiffener For a Model Describing Equilibrium of a Timoshenko Plate With a Crack”, Sib. Electron. Math. Rep., 15 (2018), 1485–1497
N. P. Lazarev, H. Itou, N. V. Neustroeva, “Fictitious domain method for an equilibrium problem of the Timoshenko-type plate with a crack crossing the external boundary at zero angle”, Jpn. J. Ind. Appl. Math., 33:1 (2016), 63–80
N. Lazarev, T. Popova, G. Semenova, “Existence of an optimal size of a rigid inclusion for an equilibrium problem of a Timoshenko plate with Signorini-type boundary condition”, J. Inequal. Appl., 2016, 18
N. Lazarev, “Shape sensitivity analysis of the energy integrals for the Timoshenko-type plate containing a crack on the boundary of a rigid inclusion”, Z. Angew. Math. Phys., 66:4 (2015), 2025–2040
N. P. Lazarev, “Zadacha o ravnovesii plastiny Timoshenko, soderzhaschei treschinu vdol tonkogo zhestkogo vklyucheniya”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2014, no. 1, 32–45
N. P. Lazarev, E. M. Rudoy, “Shape sensitivity analysis of Timoshenko's plate with a crack under the nonpenetration condition”, ZAMM-Z. Angew. Math. Mech., 94:9 (2014), 730–739
N. P. Lazarev, “Equilibrium problem for a Timoshenko plate with an oblique crack”, J. Appl. Mech. Tech. Phys., 54:4 (2013), 662–671
N. P. Lazarev, “Problem of equilibrium of the Timoshenko plate containing a crack on the boundary of an elastic inclusion with an infinite shear rigidity”, J. Appl. Mech. Tech. Phys., 54:2 (2013), 322–330
N. P. Lazarev, “Fictitious domain method in the equilibrium problem for a Timoshenko-type plate contacting with a rigid obstacle”, J. Math. Sci., 203:4 (2014), 527–539
N. P. Lazarev, “Optimalnoe upravlenie vneshnimi nagruzkami v zadache o ravnovesii uprugoi plastiny timoshenko s usloviem nepronikaniya na treschine”, Matematicheskie zametki YaGU, 18:2 (2011), 99–112
N. P. Lazarev, “Extreme Crack Shapes in a Plate Timoshenko Model”, J. Math. Sci., 195:6 (2013), 815–826

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Sibirskii Zhurnal Vychislitel'noi Matematiki

Statistics & downloads:
Abstract page:	471
Full-text PDF :	125
References:	71
First page:	13

Registration to the website

Logotypes