A plane static symmetric problem of theory elasticity for a piecewise homogeneous isotropic with an interface in the form sides angle, containing small-scale interfacial shear cracks at corner point and loaded internal semi-infinite crack, was considered. The exact solution to this constructed by Wiener-Hopf method combination apparatus Mellin integral transform. stress intensity factor tips de...

3D forced vibrations of two-layered plates under an influence periodic in time tangential actions were studied. An asymptotic solution the corresponding problem theory elasticity was obtained. The problem, particular, models seismic on base-foundation structures. All components stress tensor and displacement vector determined. It is shown, that among these quantities ones play leading role. Cas...

Econophysics is the transfer of methods from natural to socio-economic sciences. This concept has first been applied to finance, but it is now also used in various applications of economics and social sciences [2,3]. The present paper focuses on problems in macro economics and growth. 1. Neoclassical theory [4, 5] neglects the “ex post” property of income and growth. Income Y(K, L) is assumed t...

exact solution for steady two-dimensional flow of an incompressible magma is obtained. themagmatic flow is studied by considering the magma as a second grade fluid. the governing partialdifferential equations are transformed to ordinary differential equations by symmetry transformations. resultsare discussed through graphs to understand the rheology of the flowing magma

one of the main principles of resistance economy, is to support domestic production and limiting imports, especially in sectors where there is the possibility of import-substituting production .this requires adjustment of exact trade policies,and to achieve this, identifying the structure of imports demand function and also price and income elasticity of import demand is necessary.this necessit...

A new closed-form inflationary solution is given for a hyperbolic interaction potential. The method used to arrive at this solution is outlined as it appears possible to generate additional sets of equations which satisfy the model. In addition a new form of decaying cosmological constant is presented. PACS numbers: 98.80.Hw, 98.80.Bp, 04.60.+n

The condition for pressure isotropy is reduced to a recurrence equation with variable, rational coefficients of order three. We prove that this difference equation can be solved in general. Consequently we can find an exact solution to the field equations corresponding to a static spherically symmetric gravitational potential in terms of elementary functions. The metric functions, the energy de...