Surface instability of a homogeneous half-space coupled with a finite number of laminas
- 13 Downloads
In the context of the model of a piecewise-homogeneous medium in three-dimensional formulation we study the problem of the surface loss of stability in laminated semi-bounded media with a finite number of laminas. For the study we invoke a version of three-dimensional stability theory constructed for small pre-critical deformations when the pre-critical state is determined from the geometrically linear theory. To construct the resolvent characteristic equations we use the matrix representation of the basic relations.
Using a computer we carry out a numerical study of the stability of a homogeneous half-space coupled to various numbers of laminas, and we conduct a comparative analysis of the results.
KeywordsComparative Analysis Finite Number Characteristic Equation Matrix Representation Linear Theory
Unable to display preview. Download preview PDF.
- 1.Zh. S. Erzhanov and A. K. Egorov,Theory of Fold Formation in a Mineral Ore Seam (Mathematical Description) [in Russian], Alma-Ata (1968).Google Scholar
- 2.S. V. Kuznetsov, “On the loss of stability of a lamina on an elastic base,”Mekh. Tverd. Tela, No. 3, 164–169 (1971).Google Scholar
- 4.A. N. Guz',Foundations of the Three-dimensional Theory of Stability of Deformable Bodies [in Russian], Kiev (1986).Google Scholar