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Keywords:
semi-coercive cases; non trivial rigid body motions; plane elastic plate; restricting to dimension one; existence and uniqueness of weak solution; piecewise linear finite element approximations; a priori error estimate; convergence
semi-coercive cases; non trivial rigid body motions; plane elastic plate; restricting to dimension one; existence and uniqueness of weak solution; piecewise linear finite element approximations; a priori error estimate; convergence
Summary:
The plane Signorini problem is considered in the cases, when there exist non-trivial rigid admissible displacements. The existence and uniqueness of the solution and the convergence of piecewise linear finite element approximations is discussed.
References:
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[2] R. S. Falk: Error estimates for the approximation of a class of variational inequalities. Math. of Соmр. 28 (1974), 963-971. MR 0391502 | Zbl 0297.65061
[3] G. Fichera: Boundary value problems of elasticity with unilateral constraints. Encycl. of Physics (ed. by S. Flügge) vol. VI a/2, Springer - Verlag Berlin 1972.
[4] J. Nečas: On regularity of solutions to nonlinear variational inequalities for second - order elliptic systems. Rendiconti di Matem. (2), Vol. 8, Serie VI, (1975), 481 - 498. MR 0382827
[5] I. Hlaváček, J. Nečas: On inequalities of Korn's type. Arch. Ratl. Mech. Anal. 36 (1970), 312-324. DOI 10.1007/BF00249519 | MR 0252845 | Zbl 0193.39002
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