CMES-Vol. 87, No. 2, 2012

Open Access

ARTICLE

An Adaptive Fast Multipole Approach to 2D Wave Propagation
V. Mallardo¹, M.H. Aliabadi²
CMES-Computer Modeling in Engineering & Sciences, Vol.87, No.2, pp. 77-96, 2012, DOI:10.3970/cmes.2012.087.077
Abstract The present paper intends to couple the Fast Multipole Method (FMM) with the Boundary Element Method (BEM) in the 2D scalar wave propagation. The procedure is aimed at speeding the computation of the integrals involved in the governing Boundary Integral Equations (BIEs) on the basis of the distance between source point and integration element. There are three main contributions. First, the approach is of adaptive type in order to reduce the number of floating-point operations. Second, most integrals are evaluated analytically: the diagonal and off-diagonal terms of the H and G matrices by consolidated techniques, More >

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ARTICLE

A BEM Approach for Inelastic Analysis of Beam-Foundation Systems under Cyclic Loading
E.J. Sapountzakis¹, A.E. Kampitsis²
CMES-Computer Modeling in Engineering & Sciences, Vol.87, No.2, pp. 97-126, 2012, DOI:10.3970/cmes.2012.087.097
Abstract In this paper a Boundary Element Method (BEM) is developed for the inelastic analysis of beams of arbitrarily shaped constant cross section having at least one axis of symmetry, resting on nonlinear inelastic foundation. The beam is subjected to arbitrarily distributed or concentrated vertical cyclic loading along its length, while its edges are subjected to the most general boundary conditions. A displacement based formulation is developed and inelastic redistribution is modelled through a distributed plasticity model exploiting material constitutive laws and numerical integration over the cross sections. An incremental - iterative solution strategy is adopted More >

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ARTICLE

Anisotropic Fretting Wear Simulation Using the Boundary Element Method
L. Rodríguez-Tembleque¹, R. Abascal¹, M.H. Aliabadi²
CMES-Computer Modeling in Engineering & Sciences, Vol.87, No.2, pp. 127-156, 2012, DOI:10.3970/cmes.2012.087.127
Abstract A boundary element based formulation is proposed to simulate 3D fretting wear under gross-sliding and partial slip conditions, assuming anisotropic friction and wear laws. Contact problem is based on an Augmented Lagrangian formulation, and restrictions fulfilment is established by a set of projection functions. The boundary element method reveals to be a very suitable numerical method for this kind of problems, where the degrees of freedom involved are those on the solids surfaces, and a very good approximation on contact tractions is obtained with a low number of elements. The present boundary element anisotropic fretting More >

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ARTICLE

Stokes Flow about a Slip Arbitrary-Shaped Particle
A. Sellier
CMES-Computer Modeling in Engineering & Sciences, Vol.87, No.2, pp. 157-176, 2012, DOI:10.3970/cmes.2012.087.157
Abstract A new approach is proposed to accurately compute at a reasonable cpu time cost the hydrodynamic net force and net torque exerted on a slip and arbitrarily-shaped solid particle experiencing a prescribed slow rigid-body migration in a quiescent Newtonian liquid. The advocated method appeals to a boundary formulation which makes it possible to reduce the task to the treatment of a relevant regularized boundary-integral equation on the particle slipping surface. This integral equation is numerically inverted by implementing a boundary element collocation method. In addition to benchmark tests against analytical and numerical results available in More >

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