Herein paper compares the analytical model with the FEM based numerical model of the axisymmetric bending of circular sandwich plates. Also, the paper describes equations of the circular symmetrical sandwich plates bending with isotropic face sheets and the nonlinear elastic core material. The method of constructing an analytical solution of nonlinear differential equations has been described. ...

We present general, computable, improvable, and rigorous bounds for the total energy of a finite heterogeneous volume element O or a periodically distributed unit cell of an elastic composite of any known distribution of inhomogeneities of any geometry and elasticity, undergoing a harmonic motion at a fixed frequency or supporting a singlefrequency Bloch-form elastic wave of a given wavevector....

Abstract-Non-stationary phenomena arising in structures can be effectively controlled via smart (intelligent) materials. The corresponding mathematical problems contain controls in the coefficients of hyperbolic equations, these controls depending both on position and time. When appropriately activated, such controls may provide 100% screening of some extended parts of the structure from the in...

The aim of this paper is to extend recent works devoted the study effect 3D pores concave shape embedded in isotropic matrix case transversely (TI) matrix. In first part paper, approximate relations for compliance contribution tensor two reference shapes, supersphere and axisymmetrical superspheroid, are developed on basis Finite Element Modelling, recently presented a companion known exact sol...

The homogenized elastic properties of polycrystals depend on the grain morphology and crystallographic orientations. For simplification purposes, orientations grains are usually considered three independent Euler angles. However, experimental investigations reveal spatial correlations in these Karhunen–Loève expansion is used to generate random fields angles having exponential kernel functions ...