Finite element procedure for stress amplification factor recovering in a representative volume of composite materials

Plaisant Junior, Paulo Cesar; Bussamra, Flávio Luiz de Silva; Arakaki, Francisco Kioshi

doi:10.5028/jatm.2011.03033911

Abstract

Finite element models are proposed to the micromechanical analysis of a representative volume of composite materials. A detailed description of the meshes, boundary conditions, and loadings are presented. An illustrative application is given to evaluate stress amplification factors within a representative volume of the unidirectional carbon fiber composite plate. The results are discussed and compared to the numerical findings.

Keywords:
Micromechanics; Finite element analysis; Composites; Stress amplification factor; Microstress distribution

Full text is available only in PDF.

REFERENCES

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» https://doi.org/10.1016/0263-8223(95)00002-X
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Publication Dates

Publication in this collection
Sep-Dec 2011

History

Received
06 Sept 2011
Accepted
20 Oct 2011

This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

[1] Allix, O., Ladevèze P., Corigliano, A., 1995, "Damage analysis of interlaminar fracture specimens", Composite Structures, Vol. 31, No. 1, p. 61-74. doi:10.1016/0263-8223(95)00002-X
» https://doi.org/10.1016/0263-8223(95)00002-X

[2] Aghdam, M., Khojeh, A., 2003, "More on the effects of thermal residual and hydrostatic stresses on yelding behavior of unidirectional composites", Composite Structures, Vol. 62., No. 3-4, p. 285-90.

[3] Boeing. 787 Dreamliner - Program Fact Sheet. Retrieved in 2010 August 2, from: http://www.boeing.com/commercial/787family/programfacts.html
» http://www.boeing.com/commercial/787family/programfacts.html

[4] Chaboche, J.L., Kruch, S., Pottier, T., 1998, "Micromechanics versus Macromechanics: a combined approach for metal matrix composites constitutive modeling", European Journal of Mechanics, Vol. 17, No. 6., p. 885-908.

[5] Dragoi, D., et al, 2011, "Investigation of thermal residual stresses in tungsten -fiber/bulk metallic glass matrix composites", Scripta Materialia, Vol. 45, No. 2, p. 245-52.

[6] Fiedler, B., Hojo, M., Ochiai, S., 2002, "The influence of thermal residual stresses on the transverse strength of CRFP using FEM. Composites Part A: Applied Science and Manufacturing", Vol. 33., No. 10, p. 1323-6.

[7] Gotsis, P.K., Chamis, C.C., Minnetyan, L., 1998, "Prediction of Composite laminate fracture: micromechanics and progressive fracture", Composites Science and Technology, Vol. 58, No. 7, p. 1137-49.

[8] Ha, S.K., Huang, Y., Jin, K.K., 2008a, "Effects of Fiber Arrangement on Mechanical Behavior of Unidirectional Composites", Journal of Composites Materials, Vol. 42, No. 18, p. 1851-71.

[9] Ha, S.K., Huang, Y., Jin, K.K., 2008b, "Life Prediction of Composites using MMF and ATM". In: Tsai, S., 2008, "Strength and Life of Composites", Stanford, Department of Aeronautics & Astronautics of Stanford University.

[10] Ha, S.K., Huang, Y., Jin, K.K., 2008c, "Micro-Mechanics of Failure (MMF) for Continuous Fiber Reinforced Composites", Journal of Composites Materials, Vol. 42, No. 18, p. 1873-95.

[11] Hojo, M., et al, 2009, "Effect of fiber array irregularities on microscopic interfacial normal stress states of transversely loaded UD- CFRP from viewpoint of failure initiation", Composites Science and Technology, Vol. 69, No. 11-2, p. 1726-34.

[12] Hyer, M.W., Waas, A.M., 2000, "Micromechanics of Linear Elastic Continuous Fiber Composites", In: Kelly, A., Zweben, C., 2000, "Comprehensive Composite Materials", Elsevier Science Publishers.

[13] Jin, K.K., et al, 2008, "Distribution of micro stresses and interfacial tractions in unidirectional composites", Journal of Composite Materials, Vol. 42, No. 18.

[14] Ladevèze, P., et al, 2005, "Micro and meso computational damage modellings for delamination prediction", ICF XI - 11th International Conference on Fracture.

[15] Liang, Z., Lee, H.K., Suaris, W., 2006, "Micromechanics-based constitutive modeling for unidirectional laminated composites", International Journal of Solids and Structures, Vol. 43, No. 18-9, p. 5674-89.

[16] Msc Software, 2011, "MD Nastran: Integrated, Multidiscipline CAE Solution", Retrieved in 2011 March 23, from http://www.mscsoftware.com/Products/CAE-Tools/MD-Nastran.aspx
» http://www.mscsoftware.com/Products/CAE-Tools/MD-Nastran.aspx

[17] Sagushi, R., Wiltbank, B., Murchison, C., 2004, "Prediction of composite elastic modulus and polymerization shrinkage by computational micromechanics", Dental Materials, Vol. 20, No. 4, p. 397-401.

[18] Sihn, S., Park, J. W., 2008, "An Integrated Design Tool for Failure and Life Prediction of Composites", Journal of Composites Materials, Vol. 42, No. 18, p. 1967-88.

[19] Sun, C. T., Vaidya, R. S., 1996, "Prediction of Composite Properties from a Representative Volume Element", Composites Science and Technology, Vol. 56, No. 2, p. 171-9.

[20] Tay, T.E., et al, 2008, "Progressive Failure Analysis of Composites", Journal of Composites Materials, Vol. 42, No. 18, p. 1921-66.

[21] Taya, M., 1999, "Micromechanics modeling of smart composites. Composites Part A: applied science and manufacturing", Vol. 30, No. 4, p. 531-6.

[22] Think Composites, 2011, "Super Mic-Mac - a new preliminary design tool for composites", Retrieved in 2011 March 23, from http://www.thinkcomposites.com/index_eng.php
» http://www.thinkcomposites.com/index_eng.php

[23] Tsai, S., 2008, "Strength and Life of Composites", 1^st ed, Stanford: Department of Aeronautics & Astronautics of Stanford University.

[24] Xia, Z., Zhang, Y., Ellyin, F., 2003, "A unified boundary conditions for representative volume elements of composites and applications", International Journal of Solids and Structures, Vol. 40, No. 8, p. 1907-21.

[25] Zhu, L.J., Cai, W.Z., Tu, S.T., 2009, "Computational Micromechanics of Particle reinforced Composites: Effect of Complex Three-dimensional Microstructures", Journal of Computers, Vol. 4, No. 12, p. 1237-42.

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