Predicting nonlinear stress-strain curves of unidirectional fibrous composites in consideration of stick-slip

M. M S Dwaikat, C. Spitas, V. Spitas

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

A simple and efficient methodology is developed for computing nonlinear stress-strain curve of unidirectional fibrous nano-composites loaded in the direction of the perfectly aligned fibers. The method, based on shear lag analysis and derived from basic principles of continuum micromechanics, incorporates shear stick-slip constitutive law at the fiber-matrix interface. The matrix is modeled as elastic-plastic with linear isotropic strain hardening. The approach thus predicts the nonlinear behavior of the composite stress-strain curve due to both interfacial shear slippage of reinforcement fibers within the matrix and due to spread of plasticity within the matrix. The proposed method is compared to experimental results on aligned fibrous nano-composites and very good agreement is obtained when low values of interfacial shear strength are used. The study shows that when the interfacial bond between the matrix and the fiber is strong, higher stress concentration leads to spread of plasticity in the composite at lower bulk strains. However, when the bond is weak, interfacial slippage causes a relief in the accumulation of stress in the matrix. Both factors seem to provide reasonable explanation for the observed nonlinearity and improved stiffness of the composite. A set of parametric studies is also performed and the proposed method is compared to existing models.

Original languageEnglish
Pages (from-to)501-507
Number of pages7
JournalComposites Part B: Engineering
Volume44
Issue number1
DOIs
Publication statusPublished - Jan 2013
Externally publishedYes

Fingerprint

Stick-slip
Stress-strain curves
Composite materials
Plasticity
Fibers
Micromechanics
Fiber reinforced materials
Strain hardening
Shear strength
Stress concentration
Stiffness
Plastics

Keywords

  • A. Fibers
  • B. Fiber/matrix bond
  • B. Mechanical properties
  • B. Plastic deformation
  • C. Micromechanics

ASJC Scopus subject areas

  • Ceramics and Composites
  • Mechanics of Materials
  • Industrial and Manufacturing Engineering
  • Mechanical Engineering

Cite this

Predicting nonlinear stress-strain curves of unidirectional fibrous composites in consideration of stick-slip. / Dwaikat, M. M S; Spitas, C.; Spitas, V.

In: Composites Part B: Engineering, Vol. 44, No. 1, 01.2013, p. 501-507.

Research output: Contribution to journalArticle

@article{5810f6c433b0498c9886d0057bedeaa2,
title = "Predicting nonlinear stress-strain curves of unidirectional fibrous composites in consideration of stick-slip",
abstract = "A simple and efficient methodology is developed for computing nonlinear stress-strain curve of unidirectional fibrous nano-composites loaded in the direction of the perfectly aligned fibers. The method, based on shear lag analysis and derived from basic principles of continuum micromechanics, incorporates shear stick-slip constitutive law at the fiber-matrix interface. The matrix is modeled as elastic-plastic with linear isotropic strain hardening. The approach thus predicts the nonlinear behavior of the composite stress-strain curve due to both interfacial shear slippage of reinforcement fibers within the matrix and due to spread of plasticity within the matrix. The proposed method is compared to experimental results on aligned fibrous nano-composites and very good agreement is obtained when low values of interfacial shear strength are used. The study shows that when the interfacial bond between the matrix and the fiber is strong, higher stress concentration leads to spread of plasticity in the composite at lower bulk strains. However, when the bond is weak, interfacial slippage causes a relief in the accumulation of stress in the matrix. Both factors seem to provide reasonable explanation for the observed nonlinearity and improved stiffness of the composite. A set of parametric studies is also performed and the proposed method is compared to existing models.",
keywords = "A. Fibers, B. Fiber/matrix bond, B. Mechanical properties, B. Plastic deformation, C. Micromechanics",
author = "Dwaikat, {M. M S} and C. Spitas and V. Spitas",
year = "2013",
month = "1",
doi = "10.1016/j.compositesb.2012.03.019",
language = "English",
volume = "44",
pages = "501--507",
journal = "Composites Part B: Engineering",
issn = "1359-8368",
publisher = "Elsevier",
number = "1",

}

TY - JOUR

T1 - Predicting nonlinear stress-strain curves of unidirectional fibrous composites in consideration of stick-slip

AU - Dwaikat, M. M S

AU - Spitas, C.

AU - Spitas, V.

PY - 2013/1

Y1 - 2013/1

N2 - A simple and efficient methodology is developed for computing nonlinear stress-strain curve of unidirectional fibrous nano-composites loaded in the direction of the perfectly aligned fibers. The method, based on shear lag analysis and derived from basic principles of continuum micromechanics, incorporates shear stick-slip constitutive law at the fiber-matrix interface. The matrix is modeled as elastic-plastic with linear isotropic strain hardening. The approach thus predicts the nonlinear behavior of the composite stress-strain curve due to both interfacial shear slippage of reinforcement fibers within the matrix and due to spread of plasticity within the matrix. The proposed method is compared to experimental results on aligned fibrous nano-composites and very good agreement is obtained when low values of interfacial shear strength are used. The study shows that when the interfacial bond between the matrix and the fiber is strong, higher stress concentration leads to spread of plasticity in the composite at lower bulk strains. However, when the bond is weak, interfacial slippage causes a relief in the accumulation of stress in the matrix. Both factors seem to provide reasonable explanation for the observed nonlinearity and improved stiffness of the composite. A set of parametric studies is also performed and the proposed method is compared to existing models.

AB - A simple and efficient methodology is developed for computing nonlinear stress-strain curve of unidirectional fibrous nano-composites loaded in the direction of the perfectly aligned fibers. The method, based on shear lag analysis and derived from basic principles of continuum micromechanics, incorporates shear stick-slip constitutive law at the fiber-matrix interface. The matrix is modeled as elastic-plastic with linear isotropic strain hardening. The approach thus predicts the nonlinear behavior of the composite stress-strain curve due to both interfacial shear slippage of reinforcement fibers within the matrix and due to spread of plasticity within the matrix. The proposed method is compared to experimental results on aligned fibrous nano-composites and very good agreement is obtained when low values of interfacial shear strength are used. The study shows that when the interfacial bond between the matrix and the fiber is strong, higher stress concentration leads to spread of plasticity in the composite at lower bulk strains. However, when the bond is weak, interfacial slippage causes a relief in the accumulation of stress in the matrix. Both factors seem to provide reasonable explanation for the observed nonlinearity and improved stiffness of the composite. A set of parametric studies is also performed and the proposed method is compared to existing models.

KW - A. Fibers

KW - B. Fiber/matrix bond

KW - B. Mechanical properties

KW - B. Plastic deformation

KW - C. Micromechanics

UR - http://www.scopus.com/inward/record.url?scp=84867541067&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867541067&partnerID=8YFLogxK

U2 - 10.1016/j.compositesb.2012.03.019

DO - 10.1016/j.compositesb.2012.03.019

M3 - Article

VL - 44

SP - 501

EP - 507

JO - Composites Part B: Engineering

JF - Composites Part B: Engineering

SN - 1359-8368

IS - 1

ER -