Analysis of 3D random chopped fiber reinforced composites using FEM and random sequential adsorption

The overall elastic properties of fiber reinforced composite are of primary importance for practical applications. In order to obtain the overall elastic properties, a homogenization procedure based on continuum micro-mechanics is usually applied to a representative volume element (RVE) representative of the whole composite. In this study, we first employ a modified random sequential adsorption algorithm to generate the complex geometry of a random fiber composite. Second, we investigate the effect of the interaction between two over-crossing fibers on the overall elastic properties of the composite. Third, we evaluate the overall elastic material properties of the composite using the finite element method for continuum micro-mechanical analysis.

[1]  Helmut J. Böhm,et al.  Multi-inclusion unit cell models for metal matrix composites with randomly oriented discontinuous reinforcements , 2002 .

[2]  J. D. Eshelby The determination of the elastic field of an ellipsoidal inclusion, and related problems , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[3]  Staffan Toll,et al.  Packing mechanics of fiber reinforcements , 1998 .

[4]  A. Philipse,et al.  Random packings of spheres and spherocylinders simulated by mechanical contraction. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  M. Khaleel,et al.  A mechanistic approach to damage in short-fiber composites based on micromechanical and continuum damage mechanics descriptions , 2004 .

[6]  S. Umekawa,et al.  Thermal Expansions of Heterogeneous Solids Containing Aligned Ellipsoidal Inclusions , 1974 .

[7]  Chuck Zhang,et al.  The effect of non-symmetric distribution of fiber orientation and aspect ratio on elastic properties of composites , 2007 .

[8]  Ulrich Gabbert,et al.  Numerical evaluation of effective material properties of randomly distributed short cylindrical fibre composites , 2007 .

[9]  Fiber interactions and effective elasto-plastic properties of short-fiber composites , 2001 .

[10]  Y. Weitsman,et al.  On the mechanical response of randomly reinforced chopped-fibers composites: Data and model , 2006 .

[11]  R. Hill Elastic properties of reinforced solids: some theoretical principles , 1963 .

[12]  Dominique Jeulin,et al.  Apparent and effective physical properties of heterogeneous materials: Representativity of samples of two materials from food industry , 2006 .

[13]  Y. Benveniste,et al.  A new approach to the application of Mori-Tanaka's theory in composite materials , 1987 .

[14]  M. Taya,et al.  On Stiffness and Strength of an Aligned Short-Fiber Reinforced Composite Containing Fiber-End Cracks Under Uniaxial Applied Stress , 1981 .

[15]  Helmut J. Böhm,et al.  Computational Simulation of Composites Reinforced by Planar Random Fibers: Homogenization and Localization by Unit Cell and Mean Field Approaches , 2006 .

[16]  K. Tanaka,et al.  Average stress in matrix and average elastic energy of materials with misfitting inclusions , 1973 .

[17]  Xiang Ling,et al.  Numerical Simulation of Saturation Behavior of Physical Properties in Composites with Randomly Distributed Second-phase , 2005 .

[18]  H. Böhm,et al.  Mori–Tanaka based evaluation of inclusion stresses in composites with nonaligned reinforcements , 2003 .

[19]  G. P. Tandon,et al.  The effect of aspect ratio of inclusions on the elastic properties of unidirectionally aligned composites , 1984 .

[20]  H. Böhm,et al.  Some direction-dependent properties of matrix-inclusion type composites with given reinforcement orientation distributions , 1997 .

[21]  Andrei A. Gusev,et al.  Numerical Identification of the Potential of Whisker- and Platelet-Filled Polymers , 2001 .

[22]  Charles L. Tucker,et al.  Stiffness Predictions for Unidirectional Short-Fiber Composites: Review and Evaluation , 1999 .

[23]  Linda S. Schadler,et al.  Micromechanical behavior of short-fiber polymer composites , 2000 .

[24]  George J. Weng,et al.  Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions , 1984 .

[25]  Isaac M Daniel,et al.  Engineering Mechanics of Composite Materials , 1994 .

[26]  B. D. Agarwal,et al.  Analysis and Performance of Fiber Composites , 1980 .

[27]  B. Widom,et al.  Random Sequential Addition of Hard Spheres to a Volume , 1966 .

[28]  Pierre M. Adler,et al.  GEOMETRICAL AND TRANSPORT PROPERTIES OF RANDOM PACKINGS OF SPHERES AND ASPHERICAL PARTICLES , 1997 .

[29]  S. Phoenix,et al.  Measurement of stress concentration in a fiber adjacent to a fiber break in a model composite , 1995 .