Multi-scale FE computation for the structures of composite materials with small periodic configuration under condition of coupled thermoelasticity

In this paper, based on the equations of coupled thermo-elasticity, two-scale asymptotic expressions of the temperature and displacement of composite materials under coupled thermo-elasticity condition are set up with the perturbation method. By the multi-scale finite element method, the temperature and 2-order displacement, strain and stress of composite materials with small periodic configuration under coupled thermo-elasticity condition are calculated. Comparing with the results calculated by finite element method with refined meshes, it’s shown that multi-scale method is an efficient method, and the calculation precision is satisfied.

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Multi-Scale and Finite Element Analysis of the Mixed Boundary Value Problem in a Perforated Domain under Coupled Thermoelasticity

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.9.153 ◽

2005 ◽

Vol 9 ◽

pp. 153-162

Author(s):

Yongping Feng ◽

Junzhi Cui

Keyword(s):

Finite Element ◽

Mixed Boundary ◽

Asymptotic Expression ◽

Perforated Domain ◽

Scale Analysis ◽

Element Analysis ◽

Coupled Thermoelasticity ◽

Multi Scale ◽

Error Estimations ◽

Small Periodic

The two-scale asymptotic expression and error estimations based on two-scale analysis (TSA) are presented for the solution of the increment of temperature and the displacement of a composite structure with small periodic configurations under coupled thermoelasticity condition in a perforated domain. The two-scale coupled relation between the increment of temperature and displacement is established.The multi-scale finite element algorithms corresponding to TSA are described and numerical results are presented.

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An efficient multi-scale model for needle-punched Cf/SiCm composite materials with experimental validation

Composites Part B Engineering ◽

10.1016/j.compositesb.2021.108890 ◽

2021 ◽

Vol 217 ◽

pp. 108890

Author(s):

Hyoung Jun Lim ◽

Hoil Choi ◽

Min Jung Lee ◽

Gun Jin Yun

Keyword(s):

Composite Materials ◽

Experimental Validation ◽

Scale Model ◽

Multi Scale

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Second Order Two-Scale Method for Composite Plate with 3-D Periodic Configuration under Condition of Coupled Thermoelasticity

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.898.7 ◽

2014 ◽

Vol 898 ◽

pp. 7-10 ◽

Cited By ~ 3

Author(s):

Zi Qiang Wang ◽

Jun Ying Cao

Keyword(s):

Composite Plate ◽

Second Order ◽

Computational Method ◽

Deformation Pattern ◽

Effective Parameters ◽

Coupled Thermoelasticity ◽

Integral Projection ◽

Cell Functions ◽

Periodic Configuration ◽

Micro Structures

In this paper, we give a second-order two-scale (SOTS) computational method for composite plate with 3-D periodic configuration under condition of coupled thermoelasticity by means of construction way. Based on the Reissner-Mindlin deformation pattern and integral projection operator of temperature, the homogenization solution is obtained. The SOTS's approximate solution is constructed by the cell functions and the homogenization solution. A set of numerical results are demonstrated for predicting the effective parameters, the displacement and temperature of composite plate. It shows that SOTS's method can capture the 3-D local behaviors caused by 3-D micro-structures well.

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