By Prof. Dr.-Ing. E. Stein (auth.), Prof. Dr.-Ing. habil. Günther Kuhn, Prof. Dr. techn. Herbert Mang Ph. D. (eds.)
The creation of the electronic laptop has given nice impetus to the advance of contemporary discretization tools in structural mechanics. The younger background of the finite point technique (FEM) displays the dramatic raise of computing pace and garage potential inside a comparatively brief time period. The heritage of the boundary point process (BEM) remains to be more youthful. almost immediately, excessive medical efforts geared toward extending the diversity of software of the BEM may be saw. greater than 10 years in the past, O.C. Zienkiewicz and his co-workers released the 1st papers at the coupling of FE and BE discretizations of subregions of solids for the aim of exploiting the complementary merits of the 2 discretization tools and lowering their hazards. The FEM has revolutionized structural research in in addition to academia. The BEM has a good percentage within the continuation of this revolution. either discretization equipment became a site of full of life, world-wide study actions. The swift elevate of the variety of really good journals and medical conferences exhibits the striking raise of analysis efforts during this vital subdolll.ain of computational ulechanics. a number of discussions of this case within the Committee for Discretization equipment in poor health strong Mechanics of the Society for utilized arithmetic and Mechanics (GAMM) led to the plan to put up an offer to the overall meeting of the foreign Union of Theoretical and utilized Mechanics (IUTAM) to sponsor a pertinent IUTAM Symposium.
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Extra info for Discretization Methods in Structural Mechanics: IUTAM/IACM Symposium Vienna/Austria, 5.–9.6.1989
Andard element. ions are used. heory is applicable. ion; v: no. hing cycles. 069 ... g. heory elements, l\-1orley's element (see 15]), ... ). o avoid shear locking. This poses special problems for the llJul1igrid algorithm. rain element. exhibit fast convergence for thick plates, a contraction factor of ~ 0,88 for ~ (= 6 elementsize/plate thickness) = 11°: and divergence for ~ > 10. hod - is currently being investigated. o the nonlinear problem. hermore, efficient. start. eration). igrid solver is especially promising.
Since, for the case of the uniform temperature increase, the collocation and exact particular solutions are the same at the collocation points, and because the collocation points we usc arc the same as the BEM mesh points, interpolation of both particular solutions by the BEM algorithm will produce the same boundary solution. In the case of the uniform temperature increase, the BEM solution is exact within computer accuracy for the numerical integrals. g. temperature) becomes more non-uniform over the surface of the body, the exact particular solution (if it can be found) and the collocation solution arc increasingly different.
Berlin and New York: Springer-Verlag, 1984. 3. ; Dominguez, J. ductory Course. Boundary Elements - An Intro- Southampton: Computational Mechanics Pub- lications; New York: McGraw Hill, 1989. 28 4. A. A New Approach for Free Vibra- tion Analysis using Boundary Elements. In Boundary Element Methods in Engineering. Springer-Verlag, 1982. 5. 6. A. Boundary Integral Formulation of Mass Matrices for Dynamics Analysis. 2. Berlin and New York: Springer-Verlag, 1985. A. The Dual-Reciprocity Boundary Element Formulation for Non-Linear Diffusion Problems.