linear dynamic response of simply supported nanobeams subjected to a variable axial force is assessed by galerkin numerical approach. constitutive behavior is described by three functional forms of elastic energy densities enclosing nonlocal and strain gradient effects and their combination. linear stationary dynamics of nanobeams is modulated by an axial force which controls the global stiffne...

Delamination fracture of a two-dimensional functionally graded multilayered four-point bending beam that exhibits non-linear behaviour of the material is analyzed. The fracture is studied analytically in terms of the strain energy release rate. The beam under consideration has an arbitrary number of layers. Each layer has individual thickness and material properties. A delamination crack is loc...

The aim of this paper is to derive, in the Hilbert space setting, an integral representation formula for the e ective elasticity tensor for a two-component composite of elastic materials, not necessarily wellordered. This integral representation formula implies a relation which links the e ective elastic moduli to the N -point correlation functions of the microstructure. Such relation not only ...

This article provides a fully analytical approach for nonlinear equilibrium path of rectangular sandwich plates. The core of structure is made of symmetric cross-ply laminated composite and the outer surfaces are piezoelectric actuators which perfectly bonded to inner core. The structure is subjected to electro-thermo-mechanical loads simultaneously. One side of plate is rested on Pasternak typ...

In this paper, static and free vibrations behaviors of the orthotropic functionally graded material (FGM) plates resting on the two-parameter elastic foundation are analyzed by the a mesh-free method based on the first order shear deformation plate theory (FSDT). The mesh-free method is based on moving least squares (MLS) shape functions and essential boundary conditions are imposed by transfer...

This paper presents some basic concepts of linear and non linear fracture mechanics, with particular attention to some aspects related to hard soils and rocks such as the behaviour of cracks in compression. A non-linear method is presented in particular, which allows to simulate the process zone at the crack tip as a cohesive crack, where shear resistance decays from the peak to the residual va...

This paper deals with the nonlinear buckling and post-buckling of sandwich cylindrical panels non-uniform porous core functionally graded face sheets. The imperfect are subjected to axial loading on elastic foundation. Based Donnell shell theory, von Kármán geometrical nonlinearity, governing equations derived. effects foundation, various panel characteristics, porosity parameters, thickness in...

Mineral inclusions are trapped in a variety of geological environments and physical conditions. If brought to conditions different than their entrapment, mineral will generally experience stress hosts due differences thermo-elastic properties the associated deformation. These develop both prograde retrograde metamorphic The currently available analytical solutions consider isotropic materials e...