… Some outstanding open problems of nonlinear elasticity are described. The problems range
… and self-contact, the status of elasticity with respect to atomistic models, the understanding …

… class of self-similar problems of dynamic theory of elasticity is given. This class covers the
following problems: … For all open access content, the Creative Commons licensing terms apply. …

This paper highlights various fundamental open problems in three-dimensional nonlinear
elasticity. As a rough statement one can say that almost every fundamental question in the …

… We assume some familiarity with standard notions of point-set topology [see Kelley (1955), …
of open sets, hence open. A-¹0,0A-¹ are in turn unions of open sets, hence also open. If ta, ua …

… For some elastic bodies with a periodic micro-structure … Note that w is also assumed to be
an open connected set of … over an open subset of IR-1, (2) is a Lipschitz continuous function. …

… in linear elasticity, but some discussion of unilateral constraints for contact problems will …
32) for the Lipschitz openbounded domain R in R". Thus the convergence results shown in the …

… faced here with an open basic problem in the mathematical theory of elastic stability where it
is … section we shall discuss some avenues which might be explored to resolve this problem. …

… with some concrete problems of the indicated class. The examination is restricted to the plane
problems for … For all open access content, the Creative Commons licensing terms apply. …

… an elastic body occupying a bounded, connected, open … the unique solution z0 of the linear
elasticity problem. Let E0 = M × N … We then have E = z0 + E0 for some z0 ∈ E. We claim that …

… Finally we define some regularity conditions for O. (i) f2 has the segment property if there
exists a locally finite open covering {0~} of ~?O and corresponding vectors {y~} such that x+ty~…