Crack Problems and Boundary Variational Inequalities
Signorini contact problems as well as crack problems have been extensively studied for homogeneous elastic bodies (see , ,  and the references therein). The main tool to investigate these problems is the theory of spatial variational inequalities.
KeywordsVariational Inequality Crack Problem Galerkin Approximation Anisotropic Body Boundary Integral Operator
Unable to display preview. Download preview PDF.
- 1.G. Fichera, Existence Theorems in Elasticity, Handbuch der Physik, Bd. 6/2, Springer-Verlag, Heidelberg, 1973.Google Scholar
- 2.A.M. Khludnev and V.A. Kovtunenko, Analysis of Cracks in Solids, WIT Press, Southampton, Boston, 2000.Google Scholar
- 5.D. Natroshvili, Investigation of boundary value and initial-boundary value problems of the mathematical theory of anisotropic elasticity and thermoelasticity by means of potential methods, Doctoral Thesis, A. Razmadze Math. Inst., Tbilisi, 1984, 1–325 (Russian).Google Scholar