A Homogenization Approach and its Application to Multi-Scale Material Modeling

This paper presents a multi-scale-homogenization based on a two-step methodology (micro-meso and meso-macro homogenization) to predict the elastic constants of 3D fiber-reinforced composites (FRC). At each level, the elastic constants were predicted through both analytical and numerical methods to ascertain the accuracy of predicted elastic constants. The predicted elastic constants were compared with experimental data. Both methods predicted the in-plane elastic constants “ E x ” and “ E y ” with good accuracy; however, the analytical method under predicts the shear modulus “ G x y ”. The elastic constants predicted through a multiscale homogenization approach can be used to predict the behavior of 3D-FRC under different loading conditions at the macro-level.

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Multi-scale Material Modeling and Print Simulation for “First Time Right” Additive Manufacturing

10.33599/nasampe/s.19.1519 ◽

2019 ◽

Author(s):

Olivier Lietaer ◽

Sylvain Bouillon ◽

Elodie Seignobos ◽

Lucie Berger

Keyword(s):

Additive Manufacturing ◽

Material Modeling ◽

Multi Scale ◽

First Time

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A Study on the Fatigue Analysis of Glass Fiber Reinforced Plastics with Linear and Nonlinear Multi-Scale Material Modeling

Journal of the Computational Structural Engineering Institute of Korea ◽

10.7734/coseik.2020.33.2.81 ◽

2020 ◽

Vol 33 (2) ◽

pp. 81-93

Author(s):

Young-Man Kim ◽

Yong-Hwan Kim

Keyword(s):

Glass Fiber ◽

Fatigue Analysis ◽

Material Modeling ◽

Fiber Reinforced ◽

Reinforced Plastics ◽

Multi Scale ◽

Glass Fiber Reinforced ◽

Fiber Reinforced Plastics ◽

Linear And Nonlinear

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Multi-scale ballistic material modeling of cross-plied compliant composites

Composites Part B Engineering ◽

10.1016/j.compositesb.2009.02.002 ◽

2009 ◽

Vol 40 (6) ◽

pp. 468-482 ◽

Cited By ~ 36

Author(s):

M. Grujicic ◽

G. Arakere ◽

T. He ◽

W.C. Bell ◽

P.S. Glomski ◽

...

Keyword(s):

Material Modeling ◽

Multi Scale

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On the Effective Mechanical Properties of Fluid-Saturated Composites: A Homogenization Approach

Materials Science Forum ◽

10.4028/www.scientific.net/msf.654-656.2273 ◽

2010 ◽

Vol 654-656 ◽

pp. 2273-2276

Author(s):

Lian Hua Ma ◽

Bernard F. Rolfe ◽

Qing Sheng Yang ◽

Chun Hui Yang

Keyword(s):

Mechanical Properties ◽

Effective Properties ◽

Micromechanical Model ◽

Fluid Pressure ◽

Fluid Phase ◽

Homogenization Theory ◽

Small Scale ◽

Multi Scale ◽

Homogenization Approach ◽

Effective Mechanical Properties

Composites containing saturated fluid are widely distributed in nature, such as saturated rocks, colloidal materials and biological cells. In the study to determine effective mechanical properties of fluid-saturated composites, a micromechanical model and a multi-scale homogenization-based model are developed. In the micromechanical model the internal fluid pressure is generated by applying eigenstrains in the domain of the fluid phase and the explicit expressions of effective bulk modulus and shear modulus are obtained. Meanwhile a multi-scale homogenization theory is employed to develop the homogenization-based model on determination of effective properties at the small scale in a unit cell level. Applying the two proposed approaches, the effects of the internal pressure of hydrostatic fluid on effective properties are further investigated.

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Multi scale numerical approach for micro-cracked viscoelastic masonry

MATEC Web of Conferences ◽

10.1051/matecconf/201825104031 ◽

2018 ◽

Vol 251 ◽

pp. 04031

Author(s):

T.T.Nga Nguyen ◽

S.Tuan Nguyen ◽

N.Quang Vu ◽

T.Ta. Nguyen ◽

N.Hung Tran ◽

...

Keyword(s):

Analytical Solution ◽

Numerical Method ◽

Viscoelastic Properties ◽

Numerical Approach ◽

Two Dimensional ◽

Periodic Homogenization ◽

Periodic Cell ◽

Multi Scale ◽

Homogenization Approach ◽

Incremental Formulation

A multi-scale numerical method for viscoelastic micro-cracked masonry is proposed. Firstly, the effective viscoelastic properties of the masonry are modelled by a periodic homogenization approach. The Modified Maxwell (MM) model is chosen for the creep. Secondly, an incremental procedure is proposed. Thirdly, an incremental formulation is used to get the overall viscoelastic behaviour of the two dimensional periodic cell. Finally, the result of the method is validated against analytical solution.

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