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Titlebook: IUTAM/IACM/IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Bound; held in Cracow, Pola Tadeusz Burczyns

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书目名称IUTAM/IACM/IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Bound
副标题held in Cracow, Pola
编辑Tadeusz Burczynski
视频video
图书封面Titlebook: IUTAM/IACM/IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Bound; held in Cracow, Pola Tadeusz Burczyns
描述During the last two decades the boundary element method hasexperienced a remarkable evolution. Contemporary concepts andtechniques leading to the advancements of capabilities andunderstanding of the mathematical and computational aspects of themethod in mechanics are presented. The special emphasis on theoreticaland numerical issues, as well as new formulations and approaches forspecial and important fields of solid and fluid mechanics areconsidered. Several important and new mathematical aspects arepresented: singularity and hypersingular formulations, regularity,errors and error estimators, adaptive methods, Galerkin formulations,coupling of BEM-FEM and non-deterministic (stochastic and fuzzy) BEMformulations. Novel developments and applications of the boundaryelement method in various fields of mechanics of solids and fluids areconsidered: heat conduction, diffusion and radiation, non-linearproblems, dynamics and time-depending problems, fracture mechanics,thermoelasticity and poroelasticity, aerodynamics and acoustics,contact problems, biomechanics, optimization and sensitivity analysisproblems, ill posed and inverse problems, and identification problems.
出版日期Conference proceedings 2001
关键词Analysis; algorithm; algorithms; computer-aided design (CAD); finite element method; fluid dynamics; fluid
版次1
doihttps://doi.org/10.1007/978-94-015-9793-7
isbn_softcover978-90-481-5737-2
isbn_ebook978-94-015-9793-7
copyrightSpringer Science+Business Media Dordrecht 2001
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Applications of Boundary Integral Equations for Solving Some Identification Problems in Elasticity,s could be solved. Finally, the problem of identification of a plane crack in 3D elastic body illustrates the ability of the observation equation method to provide closed form solution for the identification of the crack plane and the crack geometry.
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Hypersingular Formulation for 3-D Fracture Mechanics. A Simple Numerical Approach, to satisfy the continuity requirements over the primary variables, collocation points are shifted towards the interior of the elements which are standard continuous quadratic elements. Numerical results obtained for a 3-D fracture mechanics problem show the simplicity and accuracy of the approach.
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Non-Singular Reciprocity Based BEM/FEM Formulations,atches of nodal displacements, a smooth stress field is obtained over the whole domain with same rate of convergence as the displacements..The convergence properties are studied on the fields defined by high order Trefftz fields of plane stress/strain problems.
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