Clamped Plates on Pasternak-Type Elastic Foundation by the Boundary Element Method

1986 ◽  
Vol 53 (4) ◽  
pp. 909-917 ◽  
Author(s):  
J. T. Katsikadelis ◽  
L. F. Kallivokas
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Elastic Foundation ◽  
Analytical Solutions ◽  
Element Solution ◽  
Concentrated Loads ◽  
Numerical Examples ◽  
Line Loads ◽  
Element Method

A boundary element solution is developed for the analysis of thin elastic clamped plates of any shape resting on a Pasternak-type elastic foundation. The plate may have holes and it is subjected to concentrated loads, line loads, and distributed loads. The analysis is complete, i.e., deflections, stress resultants, subgrade reactions, and reactions on the boundary are evaluated. Several numerical examples are worked out and the results are compared with those available from analytical solutions. The efficiency of the BEM is demonstrated and discussed.

Dynamic Analysis of a Three-Dimensional Poroelastic Beam Using the Boundary-Element Method

2018 ◽  
Vol 769 ◽  
pp. 329-335
Author(s):  
Andrey Petrov ◽  
Leonid A. Igumnov
Keyword(s):  
Mathematical Model ◽  
Porous Medium ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Three Dimensional ◽  
Element Solution ◽  
Harmonic Force ◽  
Porosity And Permeability ◽  
Beam Thickness ◽  
Element Method

The problem of the effect of a normal harmonic force on a porous beam in a 3D formulation is solved using the boundary-element method. A homogeneous fully saturated elastic porous medium is described using Biot’s mathematical model. The effect of the porosity and permeability parameters on the deflection of the beam and the distribution of pore pressure over the beam thickness is investigated. The comparison of the boundary-element solution with a 2D numerical-analytical one is given.

scholarly journals Simulation of 2D Elastic Bodies with Randomly Distributed Circular Inclusions Using the BEM

2007 ◽  
Vol 1 (2) ◽  
Author(s):  
Yao Zhenhan ◽  
Kong Fanzhong ◽  
Zheng Xiaoping
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Boundary Integral ◽  
The Finite Element Method ◽  
Numerical Examples ◽  
Elastic Bodies ◽  
Integral Equation Formulation ◽  
Elasticity Problems ◽  
The Given ◽  
Element Method

Based on the Rizzo’s direct boundary integral equation formulation for elasticity problems, elastic bodies with randomly distributed circular inclusions are simulated using the boundary element method. The given numerical examples show that the boundary element method is more accurate and more efficient than the finite element method for such type of problems. The presented approach can be successfully applied to estimate the equivalent elastic properties of many composite materials.

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