Three Dimensional Cosserat Continuum Model and its Application to Analysis for the Cantilever Beam
A basic 3D Cosserat continuum theory and corresponding finite element formulations are deduced. The deflections of a cantilever beam are analyzed by the 20-nodes solid elements based on the classical continuum theory and Cosserat continuum theory respectively. Compared with analytical solution brought forward by Timoshenko and Goodier, it illustrates that the numerical results based on Coseerat FEM are effective and more accurate and closer to the analytical solutions by choosing an appropriate value of the characteristic internal length, which also testifies the capability of reflecting the intrinsic property of the cantilever beam.
Huixuan Zhang, Ye Han, Fuxiao Chen and Jiuba Wen
H. X. Tang and Z. L. Hu, "Three Dimensional Cosserat Continuum Model and its Application to Analysis for the Cantilever Beam", Applied Mechanics and Materials, Vols. 117-119, pp. 438-442, 2012