000 02209nam a2200241Ia 4500
003 MX-MdCICY
005 20250625140634.0
040 _cCICY
090 _aB-10574
245 1 0 _aHypersingular BEM for transient elastodynamic
490 0 _vInternational Journal for Numerical Methods in Engineering, 39, p.1681-1705, 1996
520 3 _aThe topic of hypersingular boundary integral equations is a rapidly developing one due to the advantages which this kind of formulation offers compared to the standard boundary integral one. In this paper the hypersingular formulation is developed for time-domain antiplane elastodynamic problems. Firstly, the gradient representation is found from the displacement one, removing the strong singularities (Dirac's delta functions)which arise due to the differentiation process. The gradient representation is carried to the boundary through a limiting process and the resulting equation is shown to be consistent with the static formulation. Next, the numerical treatment of the traction boundary integral equation and its application to crack problems are presented. For the boundary discretization, conforming quadratic elements are tested, which are introduced in this paper for the first time, and it is shown that the results are very good in spite of the lesser number of unknowns of this approach in comparison to the non-conforming element alternative. A procedure is devised to numerically perform the hypersingular integrals that is both accurate and versatile. Several crack problems are solved to show the possibilities of the method. To this end both straight and curved elements are employed as well as regular and distorted quarter point elements.
650 1 4 _aHYPERSINGULAR BOUNDARY INTEGRAL EQUATIONS
650 1 4 _aBOUNDARY ELEMENT METHOD
650 1 4 _aFRACTURE MECHANICS
650 1 4 _aDYNAMIC STRESS INTENSITY FACTOR
650 1 4 _aWAVE PROPAGATION
700 1 2 _aGallego, R.
700 1 2 _aDominguez, J.
856 4 0 _uhttps://drive.google.com/file/d/1etn7s5x7ugAQ5BbzTyxT9OHu2GyrGPoK/view?usp=drivesdk
_zPara ver el documento ingresa a Google con tu cuenta: @cicy.edu.mx
942 _2Loc
_cREF1
008 250602s9999 xx |||||s2 |||| ||und|d
999 _c44806
_d44806