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2 Computer Assisted Mechanics and Engineering Sciences

2 2008

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Application of the Wave Based techniques for steady-state semi-infinite sound radiation analysis

100%

Rejlek J. , Pluymers B. , Hepberger A. , Priebsch H.-H. , Demset W.

Computer Assisted Mechanics and Engineering Sciences

2008

tom Vol. 15, No. 3/4

337-351

This paper reports on the development of a novel wave based prediction technique for the steady-state sound radiation analysis of three-dimensional semi-infinite problems. Instead of simple polynomial shape functions, this method adopts an indirect Trefftz approach, in which it uses the exact solutions of the governing differential equation for the field variables approximation. Since a fine discretization is no longer required, the resulting wave based models are substantially smaller than the element-based counterparts. Application of the proposed approach to various validation examples illustrates an enhanced computational efficiency as compared with element-based methods.

Trefftz functions for 3D stress concentration problems

86%

Murčinková Z. , Kompiš V. , Štiavnicky M.

Computer Assisted Mechanics and Engineering Sciences

2008

tom Vol. 15, No. 3/4

305-318

The paper deals with solution of 3D problems with stress concentration using the Trefftz functions. The modelled stress concentrators are holes and cavities of spherical and ellipsoidal shapes. Moreover, the random spherical cavity microstructure is modelled. The Method of External Finite Element Approximation (MEFEA) is applied to simulate detailed stress state of mentioned stress concentrators. This boundary-type method was developed to build special approximation fund ions that are associated with surface which causes the stress concentration. The method does not need discretization by classical finite elements, however, instead of elements the domain is divided into Trefftz type subdomains. The displacement and force boundary conditions are met only approximately whereas the governing equations are fulfilled exactly in the volume for linear elasticity, making it possible to assess accuracy in terms of error in boundary conditions.