Journal of Theoretical
and Applied Mechanics
0, 0, pp. , Warsaw 0

A unit-cell approach for predicting the microbuckling strength of composites with non-uniform fiber imperfections under combined axial compression and in-plane shear

Marek Romanowicz
A new micromechanical model for predicting the failure locus of long fiber composites under combined axial compression and in-plane shear is proposed. The model is based on a periodic unit cell with centrally located imperfections. Predictions of the compressive behavior for various biaxial loading ratios are made. The role of distribution of fiber imperfections in predicting the biaxial strength was discussed. The failure locus calculated from the new model was found to be in good agreement with experimental data available in the literature and less conservative than that from the periodic model with uniform imperfections.
Keywords: Fiber-reinforced composites, Buckling, Micro-mechanics, Finite element analysis.

References


ANSYS, 2016, Mechanical APDL theory reference, release 17.1, Cannonsburg PA.

BARULICH N.D., GODOY L.A., BARBERO E.J., 2016, On micro-buckling of unidirectional fiber-reinforced composites by means of computational micromechanics, Latin American J. Solids Struct., 13, 3085-3106.

BYSKOV E., CHRISTOFFERSEN J., CHRISTENSEN C.D., POULSEN J.S., 2002, Kinkband formation in wood and fiber composites–morphology and analysis, Int. J. Solids Struct., 39, 3649–3673.

CRISFIELD M.A., 1981, A fast and incremental/iterative solution procedure that handles snap-through, Comput. Struct., 13, 55–62.

DRUCKER D.C., PRAGER W., 1952, Soil mechanics and plastic analysis for limit design, Q. App. Math., 10, 157–165.

GREGORY J.R., SPEARING S.M., 2005, Nanoindentation of neat and in situ polymers in polymer–matrix composites, Compos. Sci. Technol., 65, 595–607.

GUTKIN R., PINHO S.T., ROBINSON P., CURTIS P.T., 2010a, Micro-mechanical modeling of shear-driven fibre compressive failure and of fibre kinking for failure envelope generation in CFRP laminates, Compos. Sci. Technol., 70, 1214–1222.

GUTKIN R., PINHO S.T., ROBINSON P., CURTIS P.T., 2010b, On the transition from shear-driven fibre compressive failure to fibre kinking in notched CFRP laminates under longitudinal compression, Compos. Sci. Technol., 70, 1223–1231.

GUTKIN R., PINHO S.T., ROBINSON P., CURTIS P.T., 2011, A finite fracture mechanics formulation to predict fibre kinking and splitting in CFRP under combined longitudinal compression and in-plane shear, Mech. Mater., 43, 730–739.

GUYNN E.G., OCHOA O.O., BRADLEY W.L., 1992, A parametric study of variables that affect fiber microbuckling initiation in composite laminates: Part I analyses, J. Comp. Mater., 26, 1594–1611.

HSU S.Y., VOGLER T.J., KYRIAKIDES S., 1998, Compressive strength predictions for fiber composites, J. Appl. Mech., 65, 7–16.

HSU S.Y., VOGLER T.J., KYRIAKIDES S., 1999, On the axial propagation of kink bands in fiber composites: Part II analysis, Int. J. Solids Struct., 36, 575–595.

JELF P.M., FLECK N.A., 1994, The failure of composite tubes due to combined compression and torsion, J. Mater. Sci., 29, 3080-3084.

KINLOCH A.J., YOUNG R.J., 1983, Fracture behavior of polymers, Elsevier.

KYRIAKIDES S., ARSECULERATNE R., PERRY E.J., LIECHTI K.M., 1995, On the compressive failure of fiber reinforced composites, Int. J. Solids Struct., 32, 689–738.

KYRIAKIDES S., RUFF A.E, 1997, Aspects of the failure and postfailure of fiber composites in compression, J. Compos. Mater., 31, 2000–2037.

MORAIS A.B., 1996, Modelling lamina longitudinal compression strength of carbon fibre composite laminates, J. Compos. Mater., 30, 1115–1131.

PANSART S., SINAPIUS M., GABBERT U., 2009, A comprehensive explanation of compression strength differences between various CFRP materials: Micro-meso model, predictions, parameter studies, Compos. Part A, 40, 376–387.

PIMENTA S., GUTKIN R., PINHO S.T., ROBINSON P., 2009, A micromechanical model for kink-band formation: Part I: Experimental study and numerical modeling, Compos. Sci. Technol., 69, 948–955.

PRABHAKAR P., WAAS A.M., 2013, Interaction between kinking and splitting in the compressive failure of unidirectional fiber reinforced laminated composites. Compos. Struct., 98, 85-92.

QUINSON R., PEREZ J., RINK M., PAVAN A., 1997, Yield criteria for amorphous glassy polymers. J. Mater. Sci., 32, 1371–1379.

ROMANOWICZ M., 2014, Initiation of kink bands from regions of higher misalignment in carbon fiber reinforced polymers. J. Compos. Mater., 48, 2387–2399.

VOGLER T.J., HSU S.Y., KYRIAKIDES S., 2000, Composite failure under combined compression and shear. Int. J. Solids Struct., 37, 1765–1791.

VOGLER T.J., HSU S.Y., KYRIAKIDES S., 2001, On the initiation and growth of kink bands in fiber composites: Part II analysis. Int. J. Solids Struct., 38, 2653–2682.