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Showing 1 to 8 of 8 for “"Static Condensation"”.
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Stress analysis of rocket motors with viscoelastic propellant by a mixed finite element model
… can be approximated independently. The method of static condensation is used to keep some stresses across interfaces of a solid of revolution discontinuous. The stiffness matrix is transformed from semi-positive definite to positive definite. A rocket motor is composed of (1) case (2) propellant …
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On the Application of an Output-based Adaptive, Higher-order Finite Element Method to Sonic Boom Propagation
… referred to as VMSD-BR2. This approach leverages static condensation to manage computational cost while utilizing DG stabilization techniques for enhanced stability and adjoint consistency. A key component of this work is the application of the dual weighted residual (DWR) method for output error …
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Aeroelasticity of wings coupling Navier-Stokes aerodynamics with wing-box finite elements
… flow solver without the need for modal analysis. Static condensation is performed on the structural model to reduce the structural degrees of freedom for the aeroelastic analysis. Direct incorporation of the finite element wing-box structural model with the flow solver requires finding adequate …
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Implementation of Third Order Plate Theory for use in Existing Finite Element Software
… theory are developed and tested. Using static condensation to reduce the number of degrees of freedom required by a third-order plate element does not preserve the element's accuracy in either displacements or stresses, and stresses do not converge with refinement of the mesh. For the …
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Nonlinear mixed finite element analysis for contact problems by a penalty constraint technique
… contact problem in layered cylindrical bodies. Static condensation techniques are used to condense out the discontinuous components of stresses at the element level. The contact stress distribution and variation of contact area with load is computed for different loading situations. Furthermore, …
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Stabilized Finite Element Formulations for Flow Problems
… method that may be considered an extension of static condensation to nonlinear problems. The Newton-Schur technique greatly increases parallel performance, which helps offset the computational cost produced by the decomposition of the multiscale framework. For a number of three-dimensional …
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Finite element formulation of a thin-walled beam with improved response to warping restraint
… which have six degrees of freedom per node, static condensation is used.
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Generalized finite element methods for three-dimensional crack growth simulations
… property of the enrichment functions as well as static condensation of the global-local degrees of freedom to expedite the solution process. Numerical examples demonstrate the robustness, efficiency and accuracy of the proposed GFEMgl for crack growth simulations.