Using piezoelectric excitation, the resonance frequencies of microstructures made of monocrystalline silicon or metal alloys are experimentally determined. Several resonance frequencies are found for each microstructure. A scanning vibrometer allows to determine the corresponding modal shape for frequencies lying between 40 Hz and 160 kHz. In combination with a numerical analysis, this data all...

The eigenvalue approach, using the Laplace and Fourier transforms, has been employed to find the analytical expressions for displacements and stresses at any point, as a result of an inclined line load, of an initially stressed orthotropic elastic medium. A plain strain problem has been studied. The results in the form of displacement and stress components have been obtained and discussed graph...

The aim of this paper is to investigate the Stoneley waves in a non-homogeneous orthotropic granular medium under the influence of a gravity field. The frequency equation obtained, in the form of a sixth-order determinantal expression, is in agreement with the corresponding result when both media are elastic. The frequency equation when the gravity field is neglected has been deduced as a parti...

The influence of the gravity and magnetic field on the propagation of Rayleigh wave in a prestressed inhomogeneous, orthotropic elastic solid medium has been discussed. The method of separation of variable has been used to find the frequency equations for the surface waves. The obtained dispersion equations are in agreement with the classical results when gravity, magnetic field, non-homogeneit...

Exterior calculus and moving frames are used to describe curved elastic shells. The kinematics follow from the Lie-derivative on forms whereas the dynamics via stress-forms.

Introduction. I n what follows, we wish to show that the problem of the rotating thin elastic shell of revolution is intriguing in the following sense. It is possible to obtain a solution by means of a linear theory which looks so reasonable that one expects the nonlinear effects to be of secondary nature. However, when one considers the problem on the basis of a nonlinear theory, one finds tha...

We describe a numerical method to simulate an elastic shell immersed in a viscous incompressible fluid. The method is developed as an extension of the immersed boundary method using shell equations based on the Kirchhoff-Love and the planar stress hypotheses. A detailed derivation of the shell equations used in the numerical method is presented. This derivation as well as the numerical method, ...

Elastic anticavitation is the phenomenon of a void in an elastic solid collapsing on itself. Under the action of mechanical loading alone typical materials do not admit anticavitation. We study the possibility of anticavitation as a consequence of an imposed differential growth. Working in the geometry of a spherical shell, we seek radial growth functions which cause the shell to deform to a so...