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- RPI SCOREC - Technical Reports

homogeneous Fredholm integral equations that appear in field analyses on approximations of fractal sets are presented If the support is a stochastic fractal then the field will inherit this property A simple representation of such functions in terms of a basis is desirable A solution to this problem is provided by the Karhunen Loeve decomposition of stochastic functions with known covariance In the problem at hand the covariance is defined

Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=494 (2015-07-15)

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to monotonic and cyclic loading The sample geometry was specially designed in the form of elbow using finite element modeling for the purpose of these tests and the samples were grown by glancing angle deposition When deformed monotonically at room temperature the a Si specimens exhibited a nonlinear force displacement response at forces larger than a critical force a phenomenon not observed in bulk silicon A fatigue testing methodology based

Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=495 (2015-07-15)

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end blobs are free to move in 3D and continuously redefine the diffusion path for the inner blobs Therefore contour length fluctuations and reptation are captured Constraint release is implemented by tracing the position of chain ends and performing a local relaxation of the chain backbones once end retraction is detected This algorithm takes advantage of the multi body nature of the model and requires no phenomenological parameters other than

Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=496 (2015-07-15)

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the cell To understand the response of semiflexible networks to stress a strain based measure of nonaffine deformation is introduced and used to probe the mechanics on various scales This measure provides a unified description of nonaffinity in both strain and rotation and indicates that the level of nonaffinity in these quantities in a given system is comparable The degree of nonaffinity decreases as the scale of observation increases This

Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=497 (2015-07-15)

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pull out mechanism However a detailed study of the effects of nanotube dimensions and dispersion on the fatigue behavior of nanocomposites has not been performed In this work we show the strong effect of carbon nanotube dimensions i e length diameter and dispersion quality on fatigue crack growth suppression in epoxy nanocomposites We observe that the fatigue crack growth rates can be significantly reduced by 1 reducing the nanotube diameter

Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=498 (2015-07-15)

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on permeability calculations in three dimensional random networks Computational power is now sufficient to calculate permeabilities directly by constructing artificial fiber networks and simulating flow through them Even with today s high performance computers however such an approach would be infeasible for large simulations It is therefore necessary to develop a correlation based on fiber volume fraction radius and orientation preferably by incorporating previous studies on isotropic or structured networks In this work the direct calculations were performed using the finite element method on networks with varying degrees of orientation and combinations of results for flows parallel and perpendicular to a single fiber or an array thereof using a volume averaging theory were compared to the detailed analysis The detailed model agreed well with existing analytical solutions for square arrays of fibers up to fiber volume fractions of 46 for parallel flow and 33 for transverse flow Permeability calculations were then performed for isotropic and oriented fiber networks within the fiber volume fraction range of 0 3 15 When drag coefficients for spatially periodic arrays were used the results of the volume averaging method agreed well with the direct finite element calculations On the contrary the use of drag coefficients

Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=513 (2015-07-15)

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M S Shephard Title The M3D C1 approach to simulating 3D 2 fluid magnetohydrodynamics in magnetic fusion experiments Year 2008 Journal Journal of Physics Conference Series Volume 125 Pages 012044 Abstract A new approach for solving the 3D MHD equations in a strongly magnetized toroidal plasma is presented which uses high order 2D finite elements with C 1 continuity The vector fields use a physics based decomposition An efficient implicit

Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=514 (2015-07-15)

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analyses Year 2008 Journal Journal of Physics Conference Series Volume 125 Pages 012082 Abstract SLAC performs large scale simulations for the next generation accelerator design using higher order finite elements This method requires using valid curved meshes and adaptive mesh refinement in complex 3D curved domains to achieve its fast rate of convergence ITAPS has developed a procedure to address those mesh requirements to enable petascale electromagnetic accelerator simulations by

Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=515 (2015-07-15)

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