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Title of Journal: Comput Mech

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Abbravation: Computational Mechanics

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Springer-Verlag

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DOI

10.1002/anie.201406905

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1432-0924

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Mixed statevector finite element analysis for a h

Authors: GW Jang Y Y Kim
Publish Date: 2005/02/28
Volume: 36, Issue: 3, Pages: 217-225
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Abstract

If thinwalled closed beams are analyzed by the standard Timoshenko beam elements their structural behavior especially near boundaries cannot be accurately predicted because of the incapability of the Timoskenko theory to predict the sectional warping and distortional deformations If a higherorder thinwalled box beam theory is used on the other hand accurate results comparable to those obtained by plate finite elements can be obtained However currently available twonode displacement based higherorder beam elements are not efficient in capturing exponential solution behavior near boundaries Based on this motivation we consider developing higherorder mixed finite elements Instead of using the standard mixed formulation we propose to develop the mixed formulation based on the statevector form so that only the field variables that can be prescribed on the boundary are interpolated for finite element analysis By this formulation less field variables are used than by the standard mixed formulation and the interpolated field variables have the physical meaning as the boundary work conjugates To facilitate the discretization twonode elements are considered The effects of interpolation orders for the generalized stresses and displacements on the solution behavior are investigated along with numerical examples


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