Finite Element Method
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Finite Element Method: Interval Finite Element, Finite Element Method in Structural Mechanics, HP-Fem, Bramble-Hilbert Lemma

Finite Element Method: Interval Finite Element, Finite Element Method in Structural Mechanics, HP-Fem, Bramble-Hilbert Lemma


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About the Book

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 32. Chapters: Interval finite element, Finite element method in structural mechanics, Hp-FEM, Bramble-Hilbert lemma, Flexibility method, Modal analysis using FEM, Bridge Software Institute, Spatial twist continuum, NAFEMS, Vflo, Finite element machine, Extended finite element method, Discrete exterior calculus, Spectral element method, Mesh generation, Finite element updating, Discontinuous Galerkin method, Isogeometric Analysis, Patch test, Multiphase topology optimisation, Electromagnetic Design System, Hu Washizu principle, Superconvergence, Motz's problem, Wood-Armer method, Functionally graded element. Excerpt: The interval finite element method (interval FEM) is a finite element method that uses interval parameters. Interval FEM can be applied in situations where it is not possible to get reliable probabilistic characteristics of the structure. This is important in concrete structures, wood structures, geomechanics, composite structures, biomechanics and in many other areas . The goal of the Interval Finite Element is to find upper and lower bounds of different characteristics of the model (e.g. stress, displacements, yield surface etc.) and use these results in the design process. This is so called worst case design, which is closely related to the limit state design. Worst case design require less information than probabilistic design however the results are more conservative . Solution of the following equation where a and b are real numbers is equal to . Very often exact values of the parameters a and b are unknown.Let's assume that and . In that case it is necessary to solve the following equation There are several definition of the solution set of the equation with the interval parameters. In this approach the solution is the following set This is the most popular solution set of the interval equation and this solutio...


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Product Details
  • ISBN-13: 9781157034421
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 34
  • Spine Width: 2 mm
  • Weight: 82 gr
  • ISBN-10: 115703442X
  • Publisher Date: 06 Jul 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Interval Finite Element, Finite Element Method in Structural Mechanics, HP-Fem, Bramble-Hilbert Lemma
  • Width: 189 mm


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