MATHEMATICAL MODELING OF NON-STATIONARY ELASTIC WAVES STRESSES UNDER A CONCENTRATED VERTICAL EXPOSURE IN THE FORM OF DELTA FUNCTIONS ON THE SURFACE OF THE HALF-PLANE (LAMB PROBLEM)
Journal Title: International Journal for Computational Civil and Structural Engineering - Year 2019, Vol 15, Issue 2
Abstract
The problem of numerical simulation of longitudinal, transverse and surface waves on the free surface of an elastic half-plane is considered. The change of the elastic contour stress on the free surface of the halfplane is given. To solve the two-dimensional unsteady dynamic problem of the mathematical theory of elasticity with initial and boundary conditions, we use the finite element method in displacements. Using the finite element method in displacements, a linear problem with initial and boundary conditions resulted in a linear Cauchy problem. Some information on the numerical simulation of elastic stress waves in an elastic half-plane under concentrated wave action in the form of a Delta function is given. The amplitude of the surface Rayleigh waves is significantly greater than the amplitudes of longitudinal, transverse and other waves with concentrated vertical action in the form of a triangular pulse on the surface of the elastic half-plane. After the surface Rayleigh waves there is a dynamic process in the form of standing waves.
Authors and Affiliations
Vyacheslav Musayev
Keywords
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- EP ID EP605967
- DOI 10.22337/2587-9618-2019-15-2-111-124
- Views 50
- Downloads 0
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