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Journal of Mathematical Sciences

, Volume 76, Issue 3, pp 2343–2347 | Cite as

Surface instability of a homogeneous half-space coupled with a finite number of laminas

  • V. N. Chekhov
  • V. S. Stukotilov
Article

Abstract

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.

Keywords

Comparative Analysis Finite Number Characteristic Equation Matrix Representation Linear Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature Cited

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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • V. N. Chekhov
  • V. S. Stukotilov

There are no affiliations available

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