A flexible homogenization method for the effective elastic properties of cement pastes with w/c effect

Abstract Negative Poisson’s ratio materials, or auxetics, have drawn attention for the past 30 years. The auxetic effect could lead to improved mechanical properties such as acoustic damping, indentation resistance, or crashworthiness. In this work, two 3D auxetic lattices are introduced. Auxeticity is achieved by design through pre-buckling of the lattice struts. The influence of geometrical parameters on the effective elastic properties is investigated using computational homogenization method with periodic boundary conditions. Effective Young’s modulus is 3D mapped to reveal anisotropy and identify spatial orientations of interest. The effective Poisson ratio is computed for various geometric configurations to characterize auxeticity. Finally, the influence of effective elastic properties on energy dissipation under compression is explored for elastoplastic lattices with different loading directions, using finite element simulations. Results suggest that loading 3D auxetic lattices along their stiffest direction maximizes their crashworthiness.

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Numerical and analytical effective elastic properties of degraded cement pastes

Cement and Concrete Research ◽

10.1016/j.cemconres.2009.06.012 ◽

2009 ◽

Vol 39 (10) ◽

pp. 902-912 ◽

Cited By ~ 22

Author(s):

B. Bary ◽

M. Ben Haha ◽

E. Adam ◽

P. Montarnal

Keyword(s):

Elastic Properties ◽

Cement Pastes ◽

Effective Elastic Properties

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On predicting the effective elastic properties of polymer nanocomposites by novel numerical implementation of asymptotic homogenization method

Composite Structures ◽

10.1016/j.compstruct.2015.09.039 ◽

2016 ◽

Vol 135 ◽

pp. 297-305 ◽

Cited By ~ 13

Author(s):

Jian Zhao ◽

Hengyang Li ◽

Gengdong Cheng ◽

Yuanwu Cai

Keyword(s):

Polymer Nanocomposites ◽

Elastic Properties ◽

Homogenization Method ◽

Numerical Implementation ◽

Asymptotic Homogenization ◽

Effective Elastic Properties ◽

Asymptotic Homogenization Method

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Randomly Dispersed Coated Composites Study by Statistical Approach and Numerical Homogenization Method

International Journal of Engineering Research in Africa ◽

10.4028/www.scientific.net/jera.54.33 ◽

2021 ◽

Vol 54 ◽

pp. 33-42

Author(s):

Kamel Fedaoui ◽

Mohammed Said Boutaani ◽

Amor Bourebbou ◽

Laid Chaibainou ◽

Abdelyamine Boukhobza

Keyword(s):

Boundary Conditions ◽

Elastic Properties ◽

Statistical Approach ◽

Periodic Boundary Conditions ◽

Homogenization Method ◽

Analytical Models ◽

Numerical Homogenization ◽

Effective Elastic Properties ◽

Coated Materials ◽

Integral Range

The aim of this work is the computation of effective elastic properties of 3D 3-phase random heterogeneous coated materials. For that, a new expression of the integral range for 3-phase random coated heterogeneous materials is used. The computation is achieved using a representative microstructure with non-overlapping inclusions. Numerical simulations is used under periodic boundary conditions (PBC) and kinematic uniform boundary conditions (KUBC) prescribed over Representative Volume Element (RVE). The obtained effective elastic properties are compared with different analytical models as Hashin and Shtrikman bounds and the n+1 phase model. Using the statistical methods, a new extension of the integral range for 3-phase coated materials is proposed.

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On the Mechanical Behavior of the Orthotropic Cord-Rubber Composite

Tire Science and Technology ◽

10.2346/1.2167223 ◽

1976 ◽

Vol 4 (4) ◽

pp. 219-232 ◽

Cited By ~ 2

Author(s):

Ö. Pósfalvi

Keyword(s):

Mechanical Behavior ◽

Uniaxial Tension ◽

Elastic Properties ◽

Large Deformations ◽

Virtual Work ◽

Poisson's Ratio ◽

Principle Of Virtual Work ◽

Effective Elastic Properties ◽

Rubber Composite ◽

Mooney Equation

Abstract The effective elastic properties of the cord-rubber composite are deduced from the principle of virtual work. Such a composite must be compliant in the noncord directions and therefore undergo large deformations. The Rivlin-Mooney equation is used to derive the effective Poisson's ratio and Young's modulus of the composite and as a basis for their measurement in uniaxial tension.

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