Finite-Element Analysis
R. H. Gallagher,D. S. Griffin +1 more
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TLDR
The finite element method (FEM) is a numerical technique used to perform finite element analysis of any given physical phenomenon as discussed by the authors, such as structural or fluid behavior, thermal transport, wave propagation, and the growth of biological cells.Abstract:
Introduction to finite element analysis: 1.1 What is ... The finite element method (FEM) is a numerical technique used to perform finite element analysis of any given physical phenomenon. It is necessary to use mathematics to comprehensively understand and quantify any physical phenomena, such as structural or fluid behavior, thermal transport, wave propagation, and the growth of biological cells.read more
Citations
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A finite element method for crack growth without remeshing
TL;DR: In this article, a displacement-based approximation is enriched near a crack by incorporating both discontinuous elds and the near tip asymptotic elds through a partition of unity method.
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Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement
TL;DR: In this article, the concept of isogeometric analysis is proposed and the basis functions generated from NURBS (Non-Uniform Rational B-Splines) are employed to construct an exact geometric model.
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Sampling-50 years after Shannon
TL;DR: The standard sampling paradigm is extended for a presentation of functions in the more general class of "shift-in-variant" function spaces, including splines and wavelets, and variations of sampling that can be understood from the same unifying perspective are reviewed.
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Modeling holes and inclusions by level sets in the extended finite-element method
TL;DR: In this paper, a methodology to model arbitrary holes and material interfaces (inclusions) without meshing the internal boundaries is proposed, which couples the level set method with the extended finite element method (X-FEM).
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The design and analysis of the Generalized Finite Element Method
TL;DR: The GFEM is introduced as a combination of the classical Finite Element Method (FEM) and the Partition of Unity Method (PUM) to solve problems in domains with complex geometry with less error and less computer resources.
References
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Book
Concepts and Applications of Finite Element Analysis
TL;DR: In this article, the authors present a formal notation for one-dimensional elements in structural dynamics and vibrational properties of a structural system, including the following: 1. Isoparametric Elements.
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On grain boundary sliding and diffusional creep
Rishi Raj,M.F. Ashby +1 more
TL;DR: In this paper, the problem of sliding at a nonplanar grain boundary is considered in detail, and the results give solutions to the following problems: 1) How much sliding occurs in a polycrystal when neither diffusive flow nor dislocation motion is possible? 2) What is the sliding rate at a wavy or stepped grain boundary when diffusional flow of matter occurs? 3) How is the rate of diffusional creep in polycrystals in which grain boundaries slide? 4) how is this creep rate affected by grain shape, and grain boundary migration? 5)
Book
Plasticity: Theory and Application
TL;DR: The consent of adjacent or adjacent landholders to the granting of this application are signified in ITEM B or in the attached letters as discussed by the authors. And the consent of such holders to the application is signified by the signatories hereunder consent to the Granting of this Application.