Elastoplastic Cosserat continuum model considering strength anisotropy and its application to the analysis of slope stability

2020 ◽  
Vol 117 ◽  
pp. 103235
Author(s):  
Hongxiang Tang ◽  
Wencheng Wei ◽  
Feng Liu ◽  
Guoqing Chen
Keyword(s):  
Slope Stability ◽  
Continuum Model ◽  
Cosserat Continuum ◽  
Strength Anisotropy ◽  
Cosserat Continuum Model

Three Dimensional Cosserat Continuum Model and its Application to Analysis for the Cantilever Beam

2011 ◽  
Vol 117-119 ◽  
pp. 438-442
Author(s):  
Hong Xiang Tang ◽  
Zhao Long Hu
Keyword(s):  
Cantilever Beam ◽  
Continuum Model ◽  
Three Dimensional ◽  
Continuum Theory ◽  
Intrinsic Property ◽  
Cosserat Continuum ◽  
Internal Length ◽  
Cosserat Continuum Theory ◽  
Finite Element Formulations ◽  
Cosserat Continuum Model

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.

Analytical Solution of Turbulent Couette Flow by Cosserat Continuum Model and Gradient Theory

2006 ◽  
Author(s):  
H. Ghasvari Jahromi ◽  
G. Atefi ◽  
A. Moosaie ◽  
S. Hormozi ◽  
H. Afshin
Keyword(s):  
Boundary Condition ◽  
Analytical Solution ◽  
Couette Flow ◽  
Continuum Model ◽  
Slip Boundary Condition ◽  
Cosserat Continuum ◽  
Dimensionless Number ◽  
Gradient Theory ◽  
Slip Boundary ◽  
Cosserat Continuum Model

In present paper the theory of the micropolar fluid based on a Cosserat continuum model has been applied for analysis of Couette flow. The obtained results for the velocity field have been compared with known results from experiments done by Reichardt at Max Plank institute for fluids in Gottingen [1,2] and analytical solution of the problem from Gradient theory by Alizadeh [3]. The boundary condition used here was the no slip one and Trostel’s slip boundary condition [4]. A good agreement between experimental results and the results of the problem for Reynolds near 18000 has beeen found. A new dimensionless number introduced that indicates the theoretical relation between cosserat theory and slip theory and their interaction.

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