Bifurcation and linearization stability in the traction problem

Marsden, J. E.

In Systems of Nonlinear Partial Differential Equations, Reidel, (J. M. Ball, ed.), (1983), 367-372

Abstract:

In this lecture I will provide some insight into the recent work of Chillingworth, Marsden and Wan [1982] on the traction problem in elasto-statics. This work extends earlier results of Signorini and Stoppelli on the same problem. After briefly describing the principal features of the approach, I shall explain how they are related to linearization stability and to other bifurcation problems in mechanics by means of a series of remarks.