In this paper, a three dimensional analysis of arbitrary straight-sided quadrilateral nanocomposite plates are investigated. The governing equations are based on three-dimensional elasticity theory which can be used for both thin and thick nanocomposite plates. Although the equations can support all the arbitrary straight-sided quadrilateral plates but as a special case, the numerical results f...

Part 1. Three-dimensional theory 3 Outline 3 1.1. Notation, definitions, and some basic formulas 3 1.2. Equations of equilibrium 5 1.3. Constitutive equations of elastic materials 8 1.4. The equations of nonlinear and linearized three-dimensional elasticity 11 1.5. A fundamental lemma of J.L. Lions 13 1.6. Existence theory in linearized three-dimensional elasticity 14 1.7. Existence theory in n...

The aim of this paper is to extend, to the linear elasticity system, the asymptotic analysis by compensated compactness previously developed by the authors for the linear diffusion equation. For simplicity, we restrict ourselves to stratified media. In the case of sole homogenization we recover the classical result of W.H. Mc Connel, deriving explicitly the effective elasticity tensor for strat...

soil slopes are sometimes curved in plan rather than being straight. this curvature,especially when it is convex, decreases the bearing capacity of the slope. finite element methodhas been used here in this research to investigate the reducing effect of curvature on bearingcapacity of a slope. failure of soil has been assumed to be according to mohr-coulomb criteria;but the flow rule of the soi...