G. Davì¹, A. Milazzo¹, C. Orlando¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.15, No.4, pp. 129-136, 2010, DOI:10.3970/icces.2010.015.129

Abstract A dual reciprocity based boundary element approach for the analysis of magneto-electric laminates free vibration behavior is presented. The problem is formulated employing generalized displacements, that is displacements and electric and magnetic scalar potentials, and the corresponding generalized tractions. The generalized boundary integral representation is deduced by extending the reciprocity theorem to magneto-electro-elasticity problem and the multidomain boundary element technique is used to model multilayer structures. The magneto-electro-elastic static fundamental solutions are used jointly with the dual reciprocity method to transform the inertia domain integral into a boundary integral. Numerical results are presented focusing on the effects of the electro-magnetic… More >

B. Gatmiri¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.4, No.3, pp. 159-166, 2007, DOI:10.3970/icces.2007.004.159

Abstract This document summarizes the basic concepts and steps of establishment of the set of equations of wave propoagation in far field and of the dynamic behaviour of porous media in the near field. A breif description of HYBRID software as a powerful tool for evaluation of local seismic site effect is presented. The Combination of the FEM and BEM and improvement of numerical algorithm for the time truncation are described. More >

A. Tadeu¹, L. Godinho¹, J. António¹, P. Amado Mendes¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.3, No.3, pp. 163-168, 2007, DOI:10.3970/icces.2007.003.163

Abstract This paper evaluates the 3D wave propagation in an elastic slab containing cracks whose geometry does not change along the direction parallel to the formation surfaces. Two different formulations are used and compared: the Traction Boundary Element Method (TBEM) and the Method of Fundamental Solutions (MFS). Both approaches are developed in the frequency domain and surmount the thin-body difficulty posed by the classical Boundary Element Method (BEM). The TBEM models the crack as a single line. The resulting hypersingular integrals are evaluated analytically. For the MFS, the solution is approximated in terms of a linear combination of fundamental solutions, generated… More >

C. L. Tan¹, Y.C. Shiah²

The International Conference on Computational & Experimental Engineering and Sciences, Vol.9, No.1, pp. 27-32, 2009, DOI:10.3970/icces.2009.009.027

Abstract A BEM formulation for the numerical stress analysis of 3D generally anisotropic elastic solids is presented in this paper. It is based on closed-form algebraic expressions of the fundamental solutions derived by Ting and Lee [7] and Lee [8] which are defined in terms of Stroh's eigenvalues, and has never been implemented previously in the literature. The veracity of the formulation and implementation is demonstrated by two engineering examples. More >

Ewa Majchrzak^{2 1}, Marek Paruch²

The International Conference on Computational & Experimental Engineering and Sciences, Vol.1, No.1, pp. 7-14, 2007, DOI:10.3970/icces.2007.001.007

Abstract This article has no abstract. More >

L. Rodríguez-Tembleque¹, J.A. González¹, R. Abascal¹, K.C. Park², C.A. Felippa²

The International Conference on Computational & Experimental Engineering and Sciences, Vol.2, No.1, pp. 21-28, 2007, DOI:10.3970/icces.2007.002.021

Abstract This work presents an interface treatment method based on localized Lagrange Multipliers (LLM) to solve frictional contact problems between two 3D elastic bodies. The connection between the solids is done using a displacement frame intercalated between the interfaces meshes, and the LLM are collocated at the interface nodes. The Boundary Elements Method (BEM) is used to compute the influence coefficients of the surface points involved, and contact conditions are imposed using projection functions. The LLM provides a partitioned formulation which preserves software modularity, facilitates non-matching meshes treatment and passes the contact patch test [4]. More >

P.D. Shah¹, C.L. Tan¹, X. Wang¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.1, No.2, pp. 75-80, 2007, DOI:10.3970/icces.2007.001.075

Abstract The path-independent mutual- or M-integral for the computation of the T-stress for interface cracks lying between dissimilar anisotropic, linear elastic solids is developed in this paper. For the numerical stress analysis, the Boundary Element Method (BEM) is employed and special crack-tip elements with the proper oscillatory traction singularity are used. The successful implementation of the scheme for evaluating the T-stress of an interface crack between anisotropic bi-materials with BEM is demonstrated by numerical examples. More >

D. Brunner¹, M. Junge¹, P. Rapp¹, M. Bebendorf², L. Gaul¹

CMES-Computer Modeling in Engineering & Sciences, Vol.58, No.2, pp. 131-160, 2010, DOI:10.3970/cmes.2010.058.131

Abstract The simulation of the hydroacoustic sound radiation of ship-like structures has an ever-growing importance due to legal regulations. Using the boundary element method, the overall dimension of the problem is reduced and only integrals over surfaces have to be considered. Additionally, the Sommerfeld radiation condition is automatically satisfied by proper choice of the fundamental solution. However, the resulting matrices are fully populated and the set-up time and memory consumption scale quadratically with respect to the degrees of freedom. Different fast boundary element methods have been introduced for the Helmholtz equation, resulting in a quasilinear complexity. Two of these methods are… More >

M. Schanz¹

CMES-Computer Modeling in Engineering & Sciences, Vol.58, No.2, pp. 109-130, 2010, DOI:10.3970/cmes.2010.058.109

Abstract Boundary Element formulations in time domain suffer from two problems. First, for hyperbolic problems not too much fundamental solutions are available and, second, the time stepping procedure is expensive in storage and has stability problems for badly chosen time step sizes. The first problem can be overcome by using the Convolution Quadrature Method (CQM) for time discretisation. This as well improves the stability. However, still the storage requirements are large. A recently published reformulation of the CQM by Banjai and Sauter [Rapid solution of the wave equation in unbounded domains, SIAM J. Numer. Anal., 47, 227-249] reduces the time stepping… More >

S.C. Forth¹, A. Staroselsky²

CMES-Computer Modeling in Engineering & Sciences, Vol.9, No.3, pp. 287-298, 2005, DOI:10.3970/cmes.2005.009.287

Abstract A new hybrid surface-integral-finite-element numerical scheme has been developed to model a three-dimensional crack propagating through a thin, multi-layered coating. The finite element method was used to model the physical state of the coating, and the surface integral method was used to model the fatigue crack growth. The two formulations are coupled through the need to satisfy boundary conditions on the crack and external surface. The coupling is sufficiently weak that the surface integral mesh of the crack surface and the finite element mesh of the uncracked volume can be set up independently. Thus, when modeling crack growth, the finite… More >