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Fracture and failure of multiphase polymers and polymer composites

  • Clive B. Bucknall
Conference paper
Part of the Advances in Polymer Science book series (POLYMER, volume 27)

Keywords

Fracture Toughness Polymer Composite Impact Strength Crack Opening Displacement Linear Elastic Fracture Mechanic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of Symbols

a

Crack length

\(\dot a\)

Crack speed

A

Eyring pre-exponential factor

Ae

Effective cross-sectional area of specimen

Ao

Total cross-sectional area of specimen

ΔA

Area strain

B

Specimen thickness in impact test

C

Specimen compliance

C(t, T)

Parameters in Oxborough and Bowden's criterion

D(t, T)

for crazing

E

Young's modulus

GIC

Fracture surface energy in opening mode (Mode I)

GIIC

Fracture surface energy in in-plane shear mode (Mode II)

GI, IIC

Fracture surface energy for mixture of Modes I and II

GIC(ø)

Fracture surface energy of composite

GIC(O)

Fracture surface energy of matrix

h

Length of crack tip

ΔH

Activation enthalpy

I

Impact energy (impact strength)

Ike

Kinetic energy contribution to impact strength

JI

Path independent energy line integral around a crack tip

JIC

Critical value of J I at crack initiation

k

Boltzmann's constant

KI

Stress intensity factor at crack tip

KIC

Fracture toughness

KIC(ε)

Plane strain fracture toughness

KIC(σ)

Plane stress fracture toughness

L

Plastic zone length

ry

Radius of yield zone

R

Energy absorbed per unit area of ligament in impact test

t

Time

T

Temperature

Tg

Glass transition temperature

ν

Activation volume

ΔV

Volume strain

ΔV(O)

Volume strain at zero time under load

W

Specimen width

Z

Specimen compliance factor C/dC/d\(\left( {\frac{a}{w}} \right)\)

γ

Stress concentration factor

δ

Crack opening displacement (COD)

δc

Critical COD

εc

Strain at break

ε1

Major principal tensile strain

\(\dot \in\)

Strain rate

ø

Volume fraction of inclusions or voids

μm

Pressure coefficient in modified von Mises yield criteria

ν

Poisson's ratio

σ

Stress

σ1, σ2, σ3

Principal stresses

σc

Critical stress at fracture

σy

Yield stress

σyo

Yield stress of matrix

σyc

Yield stress of composite

τo

Constant in modified von Mises criterion

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Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • Clive B. Bucknall
    • 1
  1. 1.Department of MaterialsCranfield Institute of TechnologyBedfordEngland

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