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Unformatted text preview: 10 12 3050 1.159 0.973 Assumptions, Modeling Notes, and Solution Comments 1. From an element performance standpoint, the problem is designed to test membrane elements for accurate modeling of the strain variation, nodal stress extrapolation, and curved boundary modeling (of higher order elements). 2. From a modeling standpoint, the problem is designed to test quadrilateral and triangular meshes for solution accuracy with various element types. For the areas modeled, all exterior line segment specifications for mesh density are made equal for the various mesh options. 3. For quadrilateral and triangle element meshes under uniform mesh refinement (parameters N1 and N2 varied), the calculated percent error in energy norm follows a log-log linear relationship to the number of degrees of freedom in the model. The higher order elements (PLANE2 and PLANE82) exhibit nearly identical log-log slopes while the lower order element (PLANE42) exhibits a more gradual slope. These results illustrate that the PLANE2 and PLANE82 solutions converge at nearly the same rate under u...
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This note was uploaded on 12/09/2010 for the course DEPARTMENT E301 taught by Professor Kulasinghe during the Spring '09 term at University of Peradeniya.

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