@article {10.3844/jmssp.2012.216.220,
article_type = {journal},
title = {Mixed Formulation for a Signorini Problem},
author = {Ammar, Tedjani Hadj and Benyattou, Benabderrahmane},
volume = {8},
year = {2012},
month = {Apr},
pages = {216-220},
doi = {10.3844/jmssp.2012.216.220},
url = {https://thescipub.com/abstract/jmssp.2012.216.220},
abstract = {Problem statement: This study deals with the study of a Signorini Problem (SP) of unilateral contact between two a linear or non linear elastic bodies. Approach: We present two variational formulations noted P1, P2, of the considered problem, where P1 depends on the displacement field and P2 depends on the stress field. In the linear case, under assumptions, then the considered problem was equivalent to a mixed variational formulation problem, where the unknowns are the displacement field and the normal constraint stress on the contact area. Results: Problems P1 and P2 were formally equivalent to the Signorini Problem (SP) and using Lions-Stampachia Theorem, we shown the existence and uniqueness result. Conclusion: The Signorini problem (PS) has a unique variational solution.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}