Equivalent Micropolar Thermoelastic Analysis of Thermal Bending for Grid Sandwich Beams

ZHANG Rui; SHANG Xin-chun

doi:10.3879/j.issn.1000-0887.2015.09.005

Volume 36 Issue 9

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ZHANG Rui, SHANG Xin-chun. Equivalent Micropolar Thermoelastic Analysis of Thermal Bending for Grid Sandwich Beams[J]. Applied Mathematics and Mechanics, 2015, 36(9): 936-944. doi: 10.3879/j.issn.1000-0887.2015.09.005

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Equivalent Micropolar Thermoelastic Analysis of Thermal Bending for Grid Sandwich Beams

doi: 10.3879/j.issn.1000-0887.2015.09.005

ZHANG Rui¹,
SHANG Xin-chun^1,2

¹National Center for Materials Service Safety, University of Science and Technology Beijing, Beijing 100083, P.R.China;²Department of Applied Mechanics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, P.R.China

Funds: The National Hightech R&D Program of China(863 Program)(2012AA03A513)

Received Date: 2015-02-27
Rev Recd Date: 2015-05-06
Publish Date: 2015-09-15

Abstract

Abstract

The thermal bending of the grid sandwich beam was considered to be equivalent to the deformation of the micropolar thermoelastic beam under thermal load, and the control equations of thermal deformation for the equivalent micropolar thermoelastic beam were established based on the plane micropolar thermoelastic theory, with the expression of the thermal displacements given. The material parameters of the equivalent micropolar thermoelastic beam were obtained with the cell energy equivalence method. The example cantilever grid sandwich beam’s thermal bending deformations calculated according to the proposed analytical equivalent micropolar beam model and the numerical Ansys FEM were compared. The results from the proposed analytical method are perfectly close to those from the numerical mothod, which validates that the equivalent micropolar thermoelastic beam is a simple and effective model to simulate the thermal deformations of grid sandwich beams.
- grid sandwich beam,
- thermal bending,
- micropolar thermo elasticity,
- homogenization method

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References(22)

References

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