References
- Barboteu M, Djehaf N, Shillor M, et al. Modeling and simulations for quasistatic frictional contact of a linear 2D bar. J Theor Appl Mech. 2017;55. DOI:10.15632/jtam-pl.55.3.xxx
- Sofonea M, Shillor M. Modeling and analysis of a frictional contact problem for elastic bars. Electron J Differ Equ. Submitted for publication.
- Ahn J, Kuttler KL, Shillor M. Dynamic contact of two Gao beams. Electron J Differ Equ. 2012;194:1–42.
- Andrews KT, Dumont Y, M’Bengue MF, et al. Analysis and simulations of a nonlinear dynamic beam. J Appl Math Phys (ZAMP). 2012;63:1005–1019.
- Kuttler KL, Park A, Shillor M, et al. Unilateral dynamic contact of two beams. Math Comput Modell. 2001;34:365–384.
- Kuttler KL, Purcell J, Shillor M. Analysis and simulations of a contact problem for a nonlinear dynamic beam with a crack. Q J Mech Appl Math. 2011;65:1–25.
- Shillor M, Sofonea M, Touzani R. Quasistatic frictional contact and wear of a beam. Dyn Contin Discrete Impuls Syst. 2001;8:201–218.
- Barboteu M, Sofonea M, Tiba D. The control variational method for beams in contact with deformable obstacles. Zeitschrift für Angewandte Matematik Mechanik (ZAMM). 2012;92:25–40.
- Bensegir A, Sofonea M. An evolutionary boundary value problem. Mediteranean J Math. 2016;13:4463–4480.
- Sofonea M, Bartosz K. A dynamic contact model for viscoelastic plates. Q J Mech Appl Mathe. 2017;70(1):1–19.
- Sofonea M, Benseghir A. A nonlinear history-dependent boundary value problem. Q Appl Math. 2017;75:181–199.
- Amassad A, Chenais D, Fabre C. Optimal control of an elastic contact problem involving Tresca friction law. Nonlinear Anal. 2002;48:1107–1135.
- Căpăţînă A. Variational inequalities frictional contact problems, Advances in mechanics and mathematics. Vol. 31. New York (NY): Springer; 2014.
- Matei A, Micu S. Boundary optimal control for nonlinear antiplane problems. Nonlinear Anal: Theory, Methods Appl. 2011;74:1641–1652.
- Touzaline A. Optimal control of a frictional contact problem. Acta Math Appl Sinica Eng Ser. 2015;31:991–1000.
- Jarušek J, Sofonea M. On the solvability of dynamic elastic-visco-plastic contact problems. Zeitschrift für Angewandte Matematik Mechanik (ZAMM). 2008;88:3–22.