The analytical solution is obtained for a semi-infinite linear elastic solid with a sinusoidal, “wavy” surface profile subject to applied strain. The amplitude A of a deformed wavy surface is related to the initial amplitude A0 and the applied strain a through the simple expression A A0 1 a . This relation is confirmed independently by finite element analyses and experimental measurements of st...

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Analytical solutions of the diffusion equation for a radially N-layered cylinder were derived in the steady-state, frequency, and time domains. Solutions for axially infinite and finite cylinders are presented. The derived formulas were compared to a known solution of the diffusion equation for a layered semi-infinite geometry and to Monte Carlo simulations, showing excellent and good agreement...

We present a review of wave propagation at the surface of anisotropic media (crystal symmetries). The physics for media of cubic and hexagonal symmetries has been extensively studied based on analytical and semi-analytical methods. However, some controversies regarding surfaces waves and the use of different notations for the same modes require a review of the research done and a clarification ...

In the present paper, time dependent creep behavior of hollow circular rotating cylinders made of exponentially graded material (EGM) is investigated. Loading is composed of an internal pressure, a distributed temperature field due to steady state heat conduction with convective boundary condition and a centrifugal body force. All the material properties are assumed to be exponentially graded a...

In the present research, free vibration and modal stress analyses of thin circular plates with arbitrary edge conditions, resting on two-parameter elastic foundations are investigated.  Both Pasternak and Winkler parameters are adopted to model the elastic foundation. The differential transform method (DTM) is used to solve the eigenvalue equation yielding the natural frequencies and mode shape...

We prove two different types of comparison results between semicontinuous viscosity suband supersolutions of the generalized Dirichlet problem (in the sense of viscosity solutions theory) for quasilinear parabolic equations: the first one is an extension of the Strong Comparison Result obtained previously by the second author for annular domains, to domains with a more complicated geometry. The...

We study the \generalized" Dirichlet problem (in the sense of viscosity solutions) for quasilinear elliptic and parabolic equations in the case when losses of boundary conditions can actually occur. We prove for such problems comparison results between semicontinuous viscosity sub-and supersolutions (Strong Comparison Principle) in annular domains. As a consequence of the Strong Comparison Prin...

This study focuses on a specific problem related to the caprock deformation induced by the injection of CO2 at depth. The adopted methodology includes the development of a mathematical model that incorporates the deformable behaviour of storage media and the flow of two immiscible fluids (CO2 and water) within the aquifers while the surface rock or caprock layer is modelled as a thin plate. Gov...