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Probabilistic finite element analysis of a craniofacial finite element model
Journal of Theoretical Biology, 2012We employed a probabilistic finite element analysis (FEA) method to determine how variability in material property values affects stress and strain values in a finite model of a Macaca fascicularis cranium. The material behavior of cortical bone varied in three ways: isotropic homogeneous, isotropic non-homogeneous, and orthotropic non-homogeneous. The
Berthaume, Michael A. +6 more
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Model Uncertainty in Finite-Element Analysis: Bayesian Finite Elements
Journal of Engineering Mechanics, 2011In this paper, probabilistic models for structural analysis are put forward, with particular emphasis on model uncertainty. Context is provided by the finite-element method and the need for probabilistic prediction of structural performance in contemporary engineering. Sources of model uncertainty are identified and modeled.
T. Haukaas, P. Gardoni
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A finite element model with nonviscous damping
22nd Structures, Structural Dynamics and Materials Conference, 1981A constitutive law by which structural damping is modeled as a relationship between stress, strain, and strain rate in a material is used in conjunction with the finite element method to develop general integral expressions for viscous and nonviscous damping matrices.
Roussos, L. A. +2 more
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2012
In this chapter, general concepts of FEM are presented. Some advantages and disadvantage of the method are discussed, the various methods available are analyzed, a bibliographical review is presented and FEM programs are discussed. Following the questions and answers of Chap.
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In this chapter, general concepts of FEM are presented. Some advantages and disadvantage of the method are discussed, the various methods available are analyzed, a bibliographical review is presented and FEM programs are discussed. Following the questions and answers of Chap.
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1994
The finite element method is nowadays the standard method for solving partial differential equations, especially in continuum mechanics. In this chapter the fluid, solid and interface elements are derived. The elements are employed for the discretization of the nearfield, that is the dam, the nearfield of the foundation and the nearfield of the ...
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The finite element method is nowadays the standard method for solving partial differential equations, especially in continuum mechanics. In this chapter the fluid, solid and interface elements are derived. The elements are employed for the discretization of the nearfield, that is the dam, the nearfield of the foundation and the nearfield of the ...
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Finite Elements for Geological Modelling
Nature, 1970SCALE models have often been used to illustrate or gain insight into geological processes1,2. It may now be possible to study full scale models using a digital computer and the finite element method—a method of stress analysis in complex structures developed in the engineering sciences3.
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2004
Many structures of practical importance are too complex to be analyzed by classical, analytical techniques and, hence, numerical analysis is generally used. The finite element method is the most widely used numerical technique for structural and system analyses.
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Many structures of practical importance are too complex to be analyzed by classical, analytical techniques and, hence, numerical analysis is generally used. The finite element method is the most widely used numerical technique for structural and system analyses.
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Finite element modelling with transformation techniques
IEEE Transactions on Magnetics, 1999Transformation methods are a very powerful tool in finite element modelling. In many cases, an adequate mapping transforms the problem into an easier one or allows advantage to be taken of the symmetries. This paper demonstrates that any mapping can be handled automatically provided the classical vector analysis approach is given up for the benefit of ...
Henrotte, François +4 more
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Finite Element Modeling of Soil Structure Interaction System with Interface: A Review
Archives of Computational Methods in Engineering, 2020G. D. Dhadse +2 more
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Quasi-finite Element Modelling
2020In this chapter, the quasi-finite element approach for modelling of electromagnetic levitation micro-systems is developed [1]. The developed approach allows calculating accurately and efficiently a distribution of induced eddy current within a levitated micro-object by means of using finite elements.
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