Variational asymptotic homogenization of finitely deformed heterogeneous elastomers

2019 ◽  
Vol 216 ◽  
pp. 379-391 ◽  
Author(s):  
Liang Zhang ◽  
Hamsasew M. Sertse ◽  
Wenbin Yu
Keyword(s):  
Asymptotic Homogenization ◽  
Variational Asymptotic

Variational asymptotic homogenization of magneto-electro-elastic materials with coated fibers

2015 ◽  
Vol 133 ◽  
pp. 300-311 ◽  
Author(s):  
Yifeng Zhong ◽  
Wenzheng Qin ◽  
Wenbin Yu ◽  
Xiaoping Zhou ◽  
Lichao Jiao
Keyword(s):  
Elastic Materials ◽  
Asymptotic Homogenization ◽  
Variational Asymptotic

Variational asymptotic homogenization of beam-like square lattice structures

2019 ◽  
Vol 24 (10) ◽  
pp. 3295-3318 ◽  
Author(s):  
Emilio Barchiesi ◽  
Sergei Khakalo
Keyword(s):  
Timoshenko Beam ◽  
Scaling Laws ◽  
Lattice Structure ◽  
Square Lattice ◽  
Scale Model ◽  
Asymptotic Homogenization ◽  
Macro Scale ◽  
Variational Asymptotic ◽  
Statics And Dynamics ◽  
Meso Scale

By means of variational asymptotic homogenization, using Piola’s meso-macro ansatz, we derive the linear Timoshenko beam as the macro-scale limit of a meso-scale beam-like periodic planar square lattice structure. By considering benchmarks in statics and dynamics, meso-to-macro convergence is numerically analyzed. At the finest micro-scale, a 2D assembly of elastic, geometrically linear, isotropic and homogeneous Cauchy continua in plane strain with different material parameters is considered. Using this description, we calibrate the meso-scale model using standard methodology and, by exploiting the meso-to-macro homogenization scaling laws, we recover bending and shear Timoshenko beam moduli. It turns out that the Timoshenko beam found in this way and the finest-scale description based on the Cauchy continuum are in excellent agreement.

Validation of the variational asymptotic beam sectional analysis

AIAA Journal ◽  
2002 ◽  
Vol 40 ◽  
pp. 2105-2112 ◽  
Author(s):  
W. Yu ◽  
V. Volovoi ◽  
D. H. Hodges ◽  
X. Hong
Keyword(s):  
Variational Asymptotic ◽  
Sectional Analysis
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