Analysis for the propagation of elastic waves in arbitrary anisotropic plates is investigated, commencing with a formal analysis of waves in a layered plate of an arbitrary anisotropic media, the dispersion relations of elastic waves are obtained by invoking continuity at the interface and boundary of conditions on the surfaces of layered plate. The obtained solutions can be used for material s...

In fact, and as remarked in [BL], the idea behind Li’s criterion is that the RH holds if and only if the coefficients λn satisfy a growth condition, namely, that lim sup |λn+1| ≤ 1, and that this may in fact be replaced by the (one–sided) condition on their positivity. From this it follows that the positivity of Li’s coefficients is related to the derivatives of the functions ξ and φ. At this p...

An exact series solution for the oblique scattering by a pair of infinitely long parallel edges of perfectly conducting half planes is formulated for a TM plane wave using the modematching technique (MMT). The scattered and guided fields are represented in terms of an infinite series of radial waveguide modes. By applying the appropriate boundary conditions, the coefficients of the scattered fi...

We demonstrate the main idea of constructing irreducible unitary representations of Lie groups by using Fedosov deformation quan-tization in the concrete case of the group Aff(R) of affine transformations of the real straight line. By an exact computation of the star-product and the operatorˆℓ Z , we show that the resulting representations exhausted all the irreducible representations of this g...

In the present article, we provide examples of fake quadrics, i.e. complex surfaces of general type with the same numerical invariants as the quadric P × P which are quotients of the bidisc by an irreducible lattice of automorphisms. Moreover we list classes of arithmetic lattices over a real quadratic number field which define a fake quadric and give general results towards a classification of...

This paper presents an exact closed-form solution for the Eshelby problem of polygonal inclusion in anisotropic piezoelectric fulland half-planes. Based on the equivalent body-force concept of eigenstrain, the induced elastic and piezoelectric 4elds are 4rst expressed in terms of line integral on the boundary of the inclusion with the integrand being the Green’s function. Using the recently der...

Diffraction of scalar plane waves by resistive surfaces are investigated by defining a new boundary condition in terms of the Dirichlet and Neumann conditions. The scattering problems of waves by a resistive half-plane and the interface between resistive and perfectly magnetic conducting half-planes are examined with the developed method. The resulting fields are plotted numerically. The numeri...

In this work an alternative approach to the modelling of plates with a large number of holes, is presented. By means of plate theory, it is shown that perforated plates can be modelled by conventional orthotropic plates with modified elastic properties. The modification of the elastic constants is derived by equalising the strain-energy of the perforated and the orthotropic plate. The model obt...

An accurate estimate of thermal stresses in multilayered microelectronics structures along the bonded interfaces is crucial for design and prediction of delamination-related failures. Compared with a numerical method, analytical closed-form solution can offer a more rapid method to obtain the stresses at the interfaces. An analytical model for ply-level sub-laminate analysis is investigated in ...