Using Refined Theory to Studied Elastic Wave Scattering and Dynamic Stress Concentrations in Plates with Two Cutouts

Refined theory for linearly elastic plates: Laminae and laminates

It is well known that bending and stretching modes of deformation in linearly-elastic plates decouple at leading order in thickness provided that the mid-plane is a plane of reflection symmetry of the three-dimensional material properties. This situation being the exception rather than the norm, it is important to have a model that accommodates coupling in a manner consistent with the threedime...

Bending and Free Vibration Analyses of Rectangular Laminated Composite Plates Resting on Elastic Foundation Using a Refined Shear Deformation Theory

In this paper, a closed form solution for bending and free vibration analyses of simply supported rectangular laminated composite plates is presented. The static and free vibration behavior of symmetric and antisymmetric laminates is investigated using a refined first-order shear deformation theory. The Winkler–Pasternak two-parameter model is employed to express the interaction between the lam...

Matrix theory of elastic wave scattering

Upon invoking Huygen's principle, matrix equations are obtained describing the scattering of waves by an obstacle of arbitrary shape immersed in an elastic medium. New relations are found connecting surface tractions with the divergence and curl of the displacement, and conservation laws are discussed. When mode conversion effects are arbitrarily suppressed by resetting appropriate matrix eleme...

General Theory of Elastic Wave Scattering

bending and free vibration analyses of rectangular laminated composite plates resting on elastic foundation using a refined shear deformation theory

in this paper, a closed form solution for bending and free vibration analyses of simply supported rectangular laminated composite plates is presented. the static and free vibration behavior of symmetric and antisymmetric laminates is investigated using a refined first-order shear deformation theory. the winkler–pasternak two-parameter model is employed to express the interaction between the lam...