Investigation of the shapes of cuts in a plate in contact with a rigid stamp

Akmaral Abdigaliyeva; Venera Bigaliyeva; Sharaina Zholdassova; Daryn Shabdirov; Ainur Shagayeva

doi:10.1051/e3sconf/202128801026

All issues

Volume 288 (2021)

E3S Web Conf., 288 (2021) 01026

References

Open Access

Issue		E3S Web Conf. Volume 288, 2021 International Symposium “Sustainable Energy and Power Engineering 2021” (SUSE-2021)


Article Number		01026
Number of page(s)		4
DOI		https://doi.org/10.1051/e3sconf/202128801026
Published online		14 July 2021

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[1] Thong V.D. and D.V. Hieu. Weak and strong convergence theorems for variational inequality problems. Numerical Algorithms 78. 1045–1060 (2018) [Google Scholar]

[2] Gibali, A., Reich, S., Zalas, R.: Outer approximation methods for solving variational inequalities in Hilbert space. Optimization 66, 417–437 (2017) [Google Scholar]

[3] Hieu, D.V., Anh, P.K., Muu, L.D.: Modified hybrid projection methods for finding common solutions to variational inequality problems. Comput. Optim. Appl. 66, 75–96 [Google Scholar]

[4] Cai G., Gibali A., Lyiola O. S., Shehu Y. A new double-projection method for solving variational inequalities in Banach spaces. J Optim Theory Appl, 2018, 178: 219-239 [Google Scholar]

[5] N. V. Banichuk. Determination of the shape of curvilinear cracks by the small parameter method. Academy of Sciences of the USSR. 1970. N° 2. S. 130–137. [Google Scholar]

[6] Jouymandi Z., Moradlou F. Extragradient methods for solving equilibrium problems, variational inequalities, and fixed point problems. Numer Funct Anal Optim, 2017, 38: 1391–1409 [Google Scholar]

[7] Liu Z.H., Migorski S., Zeng S.D. Partial differential variational inequalities involving nonlocal boundary conditions in Banach spaces. J Differ Equ. 2017; 263: 3989–4006. DOI: 10.1016/j.jde.2017.05.010 [Google Scholar]

[8] Nguyen T.V.A., Tran D.K. On the differential variational inequalities of parabolic-elliptic type. Math Method Appl Sci. 2017. DOI: 10.1002/mma.4334 [Google Scholar]

[9] Zeng S.D., Liu Z., Migorski S. A class of fractional differential hemivariational inequalities with application to contact problem. Z Angew Math Phys. 2018; 69: 36. pages 23. DOI: 10.1007/s00033-018-0929-6 [Google Scholar]

[10] A. I. Furtsev, “About the Contact of a Thin Obstacle and a Plate Containing a Thin Inclusion,” Sibir. Zh. Chist. Prikl. Mat. 17 (4), 94–111 (2017) [Google Scholar]

[11] A. M. Khludnev, “On Modeling Thin Inclusions in Elastic Bodies with a Damage Parameter,” Math. Mech. Solids. 2018; doi https://doi.org/10.1177/1081286518796472 [Google Scholar]

[12] Giovanardi B., Formaggia L., Scotti A., Zunino P. Unfitted FEM for modelling the interaction of multiple fractures in a poroelastic medium. In: SPA Bordas, E. Burman, M.G. Larson, M.A. Olshanskii, eds. Geometrically Unfitted Finite Element Methods and Applications. Cham, Switzerland: Springer International Publishing; 2017: 331–352. [Google Scholar]

[13] Caffarelli L. A., Friedman A. The obstacle problem for the biharmonic operator. Ann scuola norm. super Pisa. 1979, Ser. IV.- vol. VI, no. 1, - P. 151–184. [Google Scholar]

[14] Morozov N.F. Mathematical problems in the theory of cracks. Moscow: Nauka. 1984. 255 p. [Google Scholar]

[15] Khludnev A.M. Optimal control of a variational inequality in a contact problem for a plate. Dynamics of a continuous medium. Novosibirsk, 1988. - Issue. 87. -- S. 122–135. [Google Scholar]