A numerical treatment of a hemivariatinal inequality problem arising in dynamic structural mechanics is presented. This problem concerns the elastoplastic-fracturing unilateral contact between neighbouring civil engineering structures during earthquakes. By using concepts of the non-convex analysis, the problem formulation has as governing conditions a set of equations and inequalities, which i...

The pressure distribution beneath a conical sandpile, created by pouring sand from a point source onto a rough rigid support, shows a pronounced minimum below the apex (‘the dip’). Recent work of the authors has attempted to explain this phenomenon by invoking local rules for stress propagation that depend on the local geometry, and hence on the construction history, of the medium. We discuss t...

We consider the problem of determination elastoplastic stress-strain state a matrix containing an elliptic inclusion different material in presence arc-shaped crack on interface under action mechanical loads applied at infinity, which can be arbitrarily oriented relative to crack. The appearance contact macrozones between faces is regarded as possible. use model isotropic hardening materials wi...

We consider rate-independent crystal plasticity with constrained elasticity, and state the variational formulation of the incremental problem. For generic boundary data, even the first time increment does not admit a smooth solution, and fine structures are formed. By using the tools of quasiconvexity, we obtain an explicit relaxation of the first incremental problem for the case of a single sl...

Persson’s theory of contact is extensively used in the study purely normal interaction between a nominally flat rough surface and rigid flat. In literature, was successfully applied to elastoplastic problem with scale-independent hardness H. However, it yields closed-form solution, $$P(p, \xi )$$ , terms an infinite sum sines. this study, found have simpler form which superposition three Gaussi...

Slewing bearings are critical components of rotating equipment. Large structure sizes and heavy working load conditions require an extremely high load-bearing capacity reliability. Overall local contact finite element models slewing verified by the empirical formula Hertz theory. Validated used to analyse influence elastic material (E 1) elastoplastic parameters (EP 1, EP 2 3) on carrying capac...

Experimental data are reported on moisture diffusion and the elastoplastic response in uniaxial tensile tests of an intercalated nanocomposite with vinyl ester resin matrix and montmorillonite clay filler at room temperature. Observations in diffusion tests show that the moisture transport in the neat resin is Fickian, whereas it becomes noticeably anomalous (non-Fickian) with the growth of the...

We analyze the nite element method for a class of mixed variational inequalities of the second kind, which arises in elastoplastic problems. An abstract variational inequality, of which the elastoplastic problems are special cases, has been previously introduced and analyzed 31], and existence and uniqueness results for this problem have been given there. In this contribution the same approach ...

Abstract The basic ideas behind a contact mechanics theory for randomly rough surfaces are presented. is based on studying the interface at increasing magnification. At lowest magnification, no surface roughness can be detected and nature of between two solids in this limit determined using standard numerical methods (e.g., FEM). predicts how influences (or modifies) stress distribution interfa...