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Finite Element Models

2003
Long before the contemporary concept of discretization used in the finite element method (FEM) appeared, so-called physical discretization (or physical lumping in English literature) methods were in active use. There, to solve a continual problem, a system with a finite number of degrees of freedom used to be introduced on the basis of certain physical
Anatoly V. Perelmuter   +1 more
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Finite Element Modelling

1995
In modern times the finite element method has become established as the universally accepted analysis method in structural design. The method leads to the construction of a discrete system of matrix equations to represent the mass and stiffness effects of a continuous structure. The matrices are usually banded and symmetric.
M. I. Friswell, J. E. Mottershead
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Finite Elemente Modelle

1999
Die Bewegungen der Kontinuumsmodelle aus den Kapiteln 2 und 4 werden durch partielle Differentialgleichungen beschrieben, deren Losungen geometrischen und kinetischen Randbedingungen genugen mussen. Eine analytische Losung der Gleichungen gelingt nur bei sehr einfachen Modellen und Randbedingungen.
Richard Schwertassek, Oskar Wallrapp
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Finite Element Modeling

2015
This chapter covers the numerical modeling of carbon nanotubes based on the finite element method. The approach based on a three-dimensional space-frame structure where the bonds between carbon atoms are considered as connecting load-carrying generalized beam members, while the carbon atoms act as joints of the members, is introduced. The assignment of
Sadegh Imani Yengejeh   +2 more
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A finite element model for ultrasonic cutting

Ultrasonics, 2006
Using a single-blade ultrasonic cutting device, a study of ultrasonic cutting of three very different materials is conducted using specimens of cheese, polyurethane foam and epoxy resin. Initial finite element models are created, based on the assumption that the ultrasonic blade causes a crack to propagate in a controlled mode 1 opening, and these are ...
Margaret, Lucas   +3 more
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A finite element model of the otolith membrane

Computers in Biology and Medicine, 1977
Abstract This paper describes a finite element model of the otolith membrane. The system of differential equations governing the displacement of the membrane is expressed in the equivalent variational form. The region occupied by the membrane is divided into triangles and the computer is used to determine the linear combination of the functions ...
E H, Twizell, D A, Curran
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Schwinger model on a finite-element lattice

Physical Review D, 1988
The mass gap in the Schwinger model is calculated directly using a method which involves expansion in the lattice spacing. On the lattice the mass in the model is given by ..mu../sup 2/ = e/sup 2//M sin(..pi../M), where M is the number of spatial lattice sites. Current correlation functions and matrix elements are also examined.
, Grose, , Milton
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Modelling the arterial wall by finite elements

Archives Internationales de Physiologie, de Biochimie et de Biophysique, 1993
The mechanical behaviour of the arterial wall was determined theoretically utilizing some parameters of blood flow measured in vivo. Continuous experimental measurements of pressure and diameter were recorded in anesthetized dogs on the thoracic ascending and midabdominal aorta.
F, Mosora   +6 more
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A FINITE ELEMENT MODEL FOR ACOUSTIC RADIATION

Journal of Sound and Vibration, 1998
Summary: An extension of the finite element technique to the analysis of the acoustic radiation is presented. In the proposed approach, the acoustic domain is split into two parts by an arbitrary artificial boundary enclosing the radiating surface. Then the unbounded medium is discretized with finite elements consisting of only one or two rows in the ...
Wu, S.-W., Lian, S.-H., Hsu, L.-H.
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Computational Modeling and Finite Element Analysis

SPINE, 2016
Computational modeling with finite element analysis (FEA) is an integral component of medical device design and development. Researchers assess dimensions and stability of the experimental device; test load sharing, stresses, and strains; and analyze failures and modifications. The most important step in FEA is validation of the model.
Vijay K, Goel, Edward, Nyman
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