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Hierarchical strategy for rapid finite element analysisVarghese, Julian 30 September 2004 (has links)
A new methodology is introduced where the natural hierarchical character of model descriptions and simulation results are exploited to expedite analysis of problems. The philosophy and the different concepts involved are illustrated by implementing the strategy to solve some practical problems. The end result was a mix of mechanics, well-designed data structures and software interfaces that forms a rapid analysis environment. This can be very advantageous for cases where a sequence of analyses is required because of safety concerns or cost. When designing a structure, it is common to make frequent modifications to the model during the process. In such cases, the ability to use data from different models within the same analysis environment becomes a major advantage. The proposed system's forte is its hierarchical framework that allows models to communicate with each other and share information with one another. This makes it ideal for global local analyses where solutions from a global model are used to derive the boundary conditions for the local model. The system was also used to conduct a micro mechanical analysis on unidirectional composites that have a non-uniform spatial distribution of the fibers. The hierarchical strategy is not tied to any specific methodology and can be adapted to solve problem using different technologies. This allows the strategy to be used across multiple length scales and governing equations.
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On the cohomology of profinite groups.Mackay, Ewan January 1973 (has links)
No description available.
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A finite element condensation scheme /Soliman, Abdel-Hamid Aly January 1977 (has links)
No description available.
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THE EFFECT OF WALL AND BACKFILL SOIL DETERIORATION ON CORRUGATED METAL CULVERT STABILITYEL-TAHER, MOHAMED 08 October 2009 (has links)
Ministries and departments of transportation are working to undertake assessments of deteriorated metal culverts. To assist with these assessments by developing rational methods of classifying culverts, to select those requiring replacement or repair, the current thesis studied the effects of metal corrosion and backfill erosion on culvert stability. Finite element calculations were used to explain how stability is jeopardized by two forms of deterioration, both material failure (yield in the steel) and geometrical nonlinearity (bucking failure). The stability assessments are presented for structures designed using limit states design procedures in the Canadian Highway Bridge Design Code and the LRFD Bridge Design Code of the American Association of State Highway and Transportation Officials.
It was found that yield in culverts in intact ground is proportional to plate thickness (thrust and moment are not affected). Buckling strength changes as corrosion occurs, but does not become critical in structures supported by good quality backfill (without erosion). Surprisingly, thrusts decrease when erosion develops adjacent to the culvert, and this implies that factor of safety against yield is increased. However, substantial decreases in buckling strength occur, and elastic instability can then become the critical performance limit after erosion.
Three dimensional finite element analysis indicates that local buckling can develop before global buckling, for new structures featuring thin plates, or for thicker structures after corrosion. This form of elastic instability may not be safely estimated using current culvert buckling equations which consider global buckling.
Local buckling results were not effectively estimated using the Bryn’s equation (the conventional method used for stiffened plate structures); therefore a preliminary design equation for assessment of local buckling is provided.
After verifying the results obtained from this thesis with physical experiments, these findings can provide practitioners with useful evaluation tools for a quantitative assessment to the stability of buried culverts subjected to these two different kinds of deterioration (corrosion and erosion) in order to augment engineering experience or judgment, which is the primary tool currently being used. Moreover, the current study helps future experimental and numerical studies by investigating various significant deterioration scenarios, and the impacts of these scenarios. / Thesis (Ph.D, Civil Engineering) -- Queen's University, 2009-10-08 12:56:13.218
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A new second order accurate finite difference method for dynamic response of elastic-plastic finite deformation problemsChen, Hsin-Piao 12 1900 (has links)
No description available.
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Interaction of stress waves and cracks using a second order accurate finite difference methodLatham, Ralph Leonard 12 1900 (has links)
No description available.
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Stiffness determination of elastomeric O-rings using the finite element methodEnglish, Capel C. 05 1900 (has links)
No description available.
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Finite element modeling of two-phase microstructuresSaigal, A. (Anil) 08 1900 (has links)
No description available.
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Existence, uniqueness, and stability conditions for general finite element methods in linear elasticityXue, Wei-Min 05 1900 (has links)
No description available.
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Evaluation of weight functions, stress intensity factors, and energy release rates for two-dimensional anisotropic structures by the alternating finite element method, the virtual crack extension techChen, Kuan-Luen 12 1900 (has links)
No description available.
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