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- RPI SCOREC - Technical Reports

of Mechanical Engineers Editor Abstract The paper investigates computational efficiency of various finite element solvers including the state of the art iterative methods based on multigrid like and Modified Incomplete Cholesky preconditioners as well as sparse direct solver recently developed at NASA Langley These methods are compared to the newly developed Finite Element Oriented Solver FEOS which combines the advantages of the iterative and direct solution techniques Numerical tests are

Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=204 (2015-07-15)

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carried out with a structural cubic nonlinearity in torsional stiffness for a two degree of freedom airfoil This analysis was carried out using a state space formulation for the aerodynamic model This formulation enables hard coupling between the aerodynamics and the structural dynamics The stability of the system is determined by carrying out an eigenvalue analysis This analysis was applied to the case of a NACA 64A006 airfoil at a

Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=207 (2015-07-15)

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for solving symmetric indefinite linear systems arising from the three field hybrid variational principle which weakly enforces compatibility and traction continuity conditions between independently modeled substructures The positive definite global problem and the indefinite local system are derived using minimization on the subspace and the stationarity principle respectively The indefinite local problem is then transformed into an equivalent symmetric positive definite system which can be subsequently solved by either a

Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=209 (2015-07-15)

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the diffusion of silicon at elevated temperature into a compressed powder pellet of either molybdenum or a mixture of molybdenum and molybdenum disilicide and its reaction to form the desired molybdenum disilicide matrix Volume expansion and material distortion that may accompany the siliciding reactions are modeled by considering the medium to be a viscous fluid and coupling this mechanical model with the reaction diffusion system The partial differential system comprising

Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=210 (2015-07-15)

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flow solver for rotary wing applications The code adaptively refines and derefines the discretization for accurately resolving the different features of the flow such as shocks and wakes The code performs all the stages of the analysis finite element solution error indication mesh adaptation in a parallel MIMD environment making use of efficient scalable parallel algorithms The main features of all the building blocks of the implemented approach are detailed

Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=211 (2015-07-15)

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new development are focused on the support of effective parallel computations when the structure of the numerical discretization the mesh is evolving and in fact constructed during the computation All the procedures presented operate in parallel on already distributed mesh information Starting from a mesh definition in terms of a topological hierarchy techniques to support the distribution redistribution and communication among the mesh entities over the processors is given and

Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=212 (2015-07-15)

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methods Toward this end a pair of tetrahedral finite elements has been developed The equations which are used to model the tissue behaviour for both elements are those commonly known as the linear biphasic equations This model assumes that hydrated soft tissue is a mixture of two incompressible immiscible phases and employs mixture theory to derive governing equations for its mechanical behaviour The finite element techniques applied to these equations

Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=213 (2015-07-15)

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penalty finite element method and solved using a predictor corrector iteration within a modified Newton Raphson scheme The stress relation indentation problem is examined using either a porous free draining indenter or solid impermeable indenter under fast and slow compression rates The creep indentation problem is studied using a porous indenter We examine the finite deformation response and compare with the response obtained using the linear infinitesimal response Differences between

Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=214 (2015-07-15)

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