Model Uncertainty in Finite-Element Analysis: Bayesian Finite Elements

2011 ◽  
Vol 137 (8) ◽  
pp. 519-526 ◽  
Author(s):  
T. Haukaas ◽  
P. Gardoni
2012 ◽  
Vol 525-526 ◽  
pp. 93-96
Author(s):  
Xue Cheng Ping ◽  
Lin Leng ◽  
Si Hai Wu

A super wedge tip element for application to a bi-material wedge is develop utilizing the thermo-mechanical stress and displacement field solutions in which the singular parts are numerical solutions. Singular stresses near apex of an arbitrary bi-material wedge under mechanical and thermal loading can be obtained from the coupling between the super wedge tip element and conventional finite elements. The validity of this novel finite element method is established through existing asymptotic solutions and conventional detailed finite element analysis.


2014 ◽  
Vol 555 ◽  
pp. 549-554
Author(s):  
Sebastian Marian Zaharia

The purpose of this paper is to validate the accelerated testing methodology of a component from the field of aviation (supple platinum) using the standard calculation method and the analysis with finite elements. The specimens made out of supple platinum from the helicopter’s structure have been put through to accelerated experiments. Using the data resulted from the analysis with finite elements, the data resulted from resistance calculations and the experimental data obtained from the testing of specimens, a comparative study was realized between the specific strain and the normal stress that were obtained. From the results of this comparative study, it is obvious the fact that the method of analysis with finite elements is an efficient instrument to validate the experiments.


Author(s):  
Ajay Garg

Abstract Design and analysis of engineering components can be categorized under the theory of continuum mechanics, plates/shells or beams. Closed form solutions for determining deformations and stresses are available for simple structures with simple boundary conditions. In the cases of complex structures, boundary conditions and loads, analytical solutions are not readily available. Finite element analysis (FEA) can be performed to resolve the simulation barrier of these analytically indeterminate structures. Similar to analytical approach, FEA can simulate the components through solid, plate/shell or beam elements. Finite element analysis through 3-D solid elements is costly and may require time in weeks, which may not be at the disposal of an analyst. Axi-symmetric components and components with an infinite radius of curvature (flat surfaces), but with complex cross sections can be modeled by 2-D axi-symmetric and plate elements, respectively. Two dimensional finite elements require less time and hardware support than three-dimensional elements. Two development cases of successful application of 2-D finite elements instead of 3-D finite elements are discussed. Experimental and analytical verification of FEA results, and guidelines for checking finite element mesh discretization error are presented.


Author(s):  
O.V. Voloshko Assistant, S. P. Vysloukh Ph.D. Assoc. Prof.

The advantages of using computer modelling for the study of the detail’s elastic-deformed state during the process of its operation are given. It is proposed to use the method of finite elements for such researches. It is shown that FEMAP is an effective software environment based on finite element analysis. An example of using the finite element method for modelling the detail’s elastic state operating in conditions of alternating loads is given. Наведено переваги використання комп’ютерного моделювання для дослідження пружно-деформований стан деталі в процесі її експлуатації. Запропоновано для таких досліджень використовувати метод скінченних елементів. Показано, що ефективним програмним середовищем, яке базується на кінцево-елементному аналізі, є система FEMAP. Наведена приклад використання методу скінченних елементів для моделювання пружного стану деталі, що працює в умовах знакозмінних навантажень.


2016 ◽  
Vol 10 (1) ◽  
pp. 35-42 ◽  
Author(s):  
Abdoulaziz Diarra ◽  
Vagan Mushegyan ◽  
Adrien Naveau

Purpose:The purpose was to provide a longitudinal overview of published studies that use finite element analysis in dental research, by using the SCI-expanded database of Web of Science®(Thomson Reuters).Material and Methods:Eighty publications from 1999-2000 and 473 from 2009-2010 were retrieved. This literature grew faster than the overall dental literature. The number of publishing countries doubled. The main journals were American or English, and dealt with implantology. For the top 10 journals publishing dental finite element papers, the mean impact factor increased by 75% during the decade.Results:Finite elements generate an increasing interest from dental authors and publishers worldwide.


2008 ◽  
Vol 32 ◽  
pp. 119-124
Author(s):  
Yi Xia Zhang ◽  
Chun Hui Yang

Efficient and accurate finite elements are crucial for finite element analysis to provide adequate prediction of the structural behavior. A large amount of laminated plate elements have been developed for finite element analysis of laminated composite plates based on the various lamination theories. A recent and complete review of the laminated finite elements based on the higher-order shear deformation theories, including the global higher-order theories, zig-zag theories and the global-local higher-order theories is presented in this paper. Finally some points on the development of the laminated plate elements are summarized.


2018 ◽  
Vol 86 (2) ◽  
Author(s):  
G. B. Sinclair ◽  
J. R. Beisheim ◽  
A. A. Kardak

Finite element analysis (FEA) has become the method of choice for the stress analysis of many of the complex configurations encountered in practice. Such configurations can contain stress singularities. Then, it is critical for the necessarily finite estimates from finite elements to be rejected as valid results for the infinite stresses present. There is an extensive literature devoted to the asymptotic identification of stress singularities that can often, but not always, provide a means for such rejection. The present study seeks to offer a further means of rejection: mesh refinement with divergence checks. These divergence checks are a natural counterpart to the convergence checks of ASME. The two are used together on 265 finite element stresses at 32 different singularities: all of these finite element stresses are thus rejected.


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