In present study is concerned with the propagation of axisymmetric vibrations in a homogenous isotropic micropolar thermoelastic cubic crystal plate bordered with layers or half spaces of inviscid liquid subjected to stress free boundary conditions in context of Lord and Shulman (L-S) and Green and Lindsay (G-L) theories of thermoelasticity. The secular equations for symmetric and skew-symmetri...

Solubility of high molecular weight n-paraffins in supercritical carbon dioxide has been a matter of interest to many researchers. However, not sufficient solubility experimental data are available although the methods by which the experimental data are obtained have many varieties. Utilizing cubic equations of state is an effective method for solubility prediction of n-paraffins in supercr...

Two super cubic convergence methods to solve systems of nonlinear equations are presented. The first method is based on the Adomian decomposition method. We state and prove a theorem which shows the cubic convergence for this method. But numerical examples show super cubic convergence. The second method is based on a quadrature formulae to obtain the inverse of Jacobian matrix. Numerical exampl...

1 The theory of equations 3 1.1 Primitive question . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 Quadratic equations . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 The remainder theorem . . . . . . . . . . . . . . . . . . . . . . 4 1.4 Relation between coefficients and roots . . . . . . . . . . . . . 5 1.5 Complex roots of 1 . . . . . . . . . . . . . . . . . . . . . . . . 7 1.6 Cub...

this paper presents a mathematical model for the vibration analysis of a three-component piezoelectric force sensor. the cubic theory of weakly nonlinear electroelasticity is applied to the model for describing the electromechanical coupling effect in the piezoelectric sensing elements which operate in thickness-shear and thickness-stretch vibration modes. hamilton's principle is used to d...