Elastoplastic and progressive failure analysis of fiber-reinforced composites via an efficient nonlinear microscale model

Ibrahim Kaleel, Marco Petrolo, Erasmo Carrera


This paper presents numerical results concerning the nonlinear and failure analysis of fiber-reinforced composites. The micromechanical framework exploits a class of refined 1D models based on the Carrera Unified Formulation (CUF) having a variable kinematic description. The recently developed CUF micromechanics is a framework for the nonlinear modeling and exploits the ability of the CUF to predict accurate 3D stress fields with reduced computational overheads.
The present formulation features the von Mises J\textsubscript{2} theory for the pre-peak nonlinearity observed in matrix constituents, and the crack-band theory to capture the damage progression. Numerical examples and comparisons with results from literature assess the accuracy and efficiency of the proposed framework. The paper highlights the applicability of CUF models as an efficient micromechanical platform for nonlinear and progressive failure analysis for fiber-reinforced composites with potentially major advantages in the perspective of multiscale modeling.


Nonlinear analysis, Failure, Elastoplasticity, Micromechanics, Finite Elements

Full Text:



X. Liu, D. Furrer, J. Kosters, and J. Holmes. Vision

: A roadmap for integrated, multiscale

modeling and simulation of materials and systems.

NASA Glenn Research Center, 2018.

J. Llorca, C. Gonzalez, J. M. Molina-Aldaregua,

J. Segurado, R. Seltzer, F. Sket, M. Rodriguez,

S. Sadaba, R. Mu~noz, and L. P. Canal. Multiscale

modeling of composite materials: A roadmap

towards virtual testing. Advanced Materials,

(44):5130-5147, 2011.

DIGIMAT Software. e-Xstream Engineering.

Louvain-la-Neuve, Belgium, 2018.

B. A. Bednarcyk, J. Aboudi, and S. M. Arnold.

Micromechanics Modeling of Composites Subjected

to Multiaxial Progressive Damage in the

Constituents. AIAA Journal, 48(7):1367-1378,

E. J. Pineda, B. A. Bednarcyk, A. M. Waas, and

S. M. Arnold. Progressive failure of a unidirectional

ber-reinforced composite using the method

of cells: Discretization objective computational results.

International Journal of Solids and Structures,

(9):1203-à1216, 2013.

D. Zhang, A.M. Waas, and C.F. Yen. Progressive

damage and failure response of hybrid 3D textile

composites subjected to flexural loading, part II:

Mechanics based multiscale computational modeling

of progressive damage and failure. International

Journal of Solids and Structures, 75-76:321-335, 2015.

C. C. Chamis, F. Abdi, M. Garg, L. Minnetyan,

H. Baid, D. Huang, J. Housner, and F. Talagani.

Micromechanics-based progressive failure analysis

prediction for WWFE-III composite coupon test

cases. Journal of Composite Materials, 47(20-

:2695-2712, 2013.

P. Davidson and A.M.Waas. Mechanics of kinking

in fiber-reinforced composites under compressive

loading. Mathematics and Mechanics of Solids,

(6):667-684, 2016.

W. Yu. A unied theory for constitutive modeling

of composites. Journal of Mechanics of Materials

and Structures, 11(4):379-411, 2016.

E. Carrera, M. Cinefra, E. Zappino, and

M. Petrolo. Finite Element Analysis of Structures

Through Unied Formulation. 2014.

E. Carrera, D. Guarnera, and A. Pagani. Static

and free-vibration analyses of dental prosthesis

and atherosclerotic human artery by rened nite

element models. Biomechanics and Modeling in

Mechanobiology, 17(2):301-317, Apr 2018.

I Kaleel, M Petrolo, A M Waas, and E Carrera.

Micromechanical Progressive Failure Analysis of

Fiber- Reinforced Composite Using Rened Beam

Models. Journal of Applied Mechanics, 85(February),

M. Cinefra, M. Petrolo, G. Li, and E. Carrera.

Variable kinematic shell elements for composite

laminates accounting for hygrothermal effects.

Journal of Thermal Stresses, 40(12):1523-1544, 2017.

A. Pagani and E. Carrera. Large-deflection and

post-buckling analyses of laminated composite

beams by Carrera Unied Formulation. Composite

Structures, 170:40-52, 2017.

A.G. de Miguel, G. De Pietro, E. Carrera,

G. Giunta, and A. Pagani. Locking-free curved elements with refined kinematics for the analysis of composite structures. Computer Methods in Applied Mechanics and Engineering, 337:481-500,2018.

I. Kaleel, M. Petrolo, A.M. Waas, and E. Carrera.

Computationally efficient, high-delity micromechanics

framework using rened 1d models. Composite

Structures, 181, 2017.

von Mises R. Mechanics of solid bodies in the

plastically-deformable state. Mechanik der festen

Korper in plastisch-deformablen Zustand, 4:582{

, 1913.

Z. Bazant and B. H. Oh. Crack band theory of

concrete. Materials and Structures, 16:155-177,

E. Carrera and G. Giunta. Rened Beam Theories

Based on a Unied Formulation. International

Journal of Applied Mechanics, 02(01):117-143, 2010.

E. Carrera and M. Petrolo. Refined beam elements

with only displacement variables and plate/shell

capabilities. Meccanica, 47(3):537-556, 2012.

A Pagani, A. G. De Miguel, M. Petrolo, and E. Carrera. Analysis of laminated beams via Unified Formulation and Legendre polynomial expansions. Composite Structure, 156(15), 2016.

E. Carrera, I. Kaleel, and M. Petrolo. Elastoplastic

analysis of compact and thin-walled structures

using classical and refined beam nite element

models. Mechanics of Advanced Materials

and Structures, In Press.

C.T. Sun and Yoon K.J. Elastic-plastic analysis

of as4/peek composite laminate using a one parameter

plasticity model. Journal of Composite

Materials, 26(2):293-308, 1992.

M. Vogler, R. Rolfes, and P. P. Camanho. Mechanics

of Materials Modeling the inelastic deformation

and fracture of polymer composites -Part I: Plasticity

model. Mechanics of Materials, 59:50-64, 2013.

Y. Zhou, C. Hou, W.Wang, M. Zhao, and X.Wan.

A phenomenological intra-laminar plasticity model

for frp composite materials. IOP Conference Series:

Materials Science and Engineering, 87(1), 2015.

P D Soden, M J Hinton, and AS Kaddour. Biaxial

test results for strength and deformation of a range

of E-glass and carbon bre reinforced composite

laminates: Failure exercise benchmark data. Composites

Science and Technology, 62:52-96, 2002.

O' Higgins R. M. An experimental and numerical

study of damage initiation and growth in high

strength glass and carbon ber-reinforced composite

materials. PhD thesis, University of Limerick,

A. Kaddour, M. Hinton, P. Smith, and S. Li. A

comparison between the predictive capability of matrix cracking, damage and failure criteria for fibre reinforced composite laminates: Part A of

the third world-wide failure exercise. Journal of Composite Materials, 47(20-21):2749-2779, 2013.

C. T. McCarthy, R. M. O'Higgins, and R. M.

Frizzell. A cubic spline implementation of nonlinear

shear behaviour in three-dimensional progressive

damage models for composite laminates.

Composite Structures, 92(1):173-181, 2010.

E.K Gamstedt and Sjogren. Micromechanisms

in tension-compression fatigue of composite laminates

containing transverse plies. Composites Science

and Technology, 59(2):167-178, 1999.

E. Pineda, B. Bednarcyk, A. M. Waas, and

S. Arnold. Progressive Failure of a Unidirectional

Fiber-reinforced Composite Using the Method of

Cells: Discretization Objective Computational


Structures, Structural Dynamics and Materials

Conference 20th AIAA/ASME/AHS Adaptive

Structures Conference, (April):1-46, 2012.

DOI: http://dx.doi.org/10.19249/ams.v97i2.340


  • There are currently no refbacks.

Copyright © 2018. All Rights Reserved.