Applied Composite Materials

, Volume 25, Issue 2, pp 381–398 | Cite as

Determination of Fracture Parameters for Multiple Cracks of Laminated Composite Finite Plate

  • Amit Kumar Srivastava
  • P. K. Arora
  • Sharad Chandra Srivastava
  • Harish Kumar
  • M. K. Lohumi
Article
  • 226 Downloads

Abstract

A predictive method for estimation of stress state at zone of crack tip and assessment of remaining component lifetime depend on the stress intensity factor (SIF). This paper discusses the numerical approach for prediction of first ply failure load (FL), progressive failure load, SIF and critical SIF for multiple cracks configurations of laminated composite finite plate using finite element method (FEM). The Hashin and Chang failure criterion are incorporated in ABAQUS using subroutine approach user defined field variables (USDFLD) for prediction of progressive fracture response of laminated composite finite plate, which is not directly available in the software. A tensile experiment on laminated composite finite plate with stress concentration is performed to validate the numerically predicted subroutine results, shows excellent agreement. The typical results are presented to examine effect of changing the crack tip distance (S), crack offset distance (H), and stacking fiber angle (θ) on FL, and SIF .

Keywords

Stress intensity factor Finite element analysis Offset-crack Progressive fracture parameters 

Nomenclature

a1, a2

through crack length, mm

a

edge crack length, mm

E

modulus of elasticity, MPa

E1, E2

modulus of elasticity in 1 and 2-direction, MPa

\( {E}_1^d,{E}_2^d \)

degraded stiffness in 1 and 2-direction respectively, MPa

F

applied load, N

δ

displacement, mm

FL

first ply failure load, N

FVM, FVF and FVS

field variable represents matrix failure, fiber failure, and shear failure

σij

stress component. Subscript i, j represent the direction of load and fibre orientation respestively

Ff

failure load, N

G12

modulus of rigidity in 1and 2-direction, MPa

H

crack offset distance, mm

h

height of plate, mm

SIF, K

mode − 1 stress intensity factor, MPa(mm)1/2

Kc

plane stress fracture toughness, MPa(mm)1/2

Ss

longitudinal shear strength

S

crack tip distance, mm

tp

lamina or ply thickness, mm

tl

laminate thickness, mm

W

width of plate, mm

XT

longitudinal tensile strength, MPa

XC

longitudinal compressive strength, MPa

YT

transverse tensile strength, MPa

YC

transverse compressive strength, MPa

α

degradation coefficient, set to 1

η

nonlinearity factor

θ

fiber orientation angle

ν

poission’s ratio

ϕ

crack initiation angle

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Copyright information

© Springer Science+Business Media B.V. 2017

Authors and Affiliations

  • Amit Kumar Srivastava
    • 1
  • P. K. Arora
    • 2
  • Sharad Chandra Srivastava
    • 3
  • Harish Kumar
    • 4
  • M. K. Lohumi
    • 2
  1. 1.Scientist-‘F’, DRDONew DelhiIndia
  2. 2.Galgotias College of Engineering and TechnologyGreater NoidaIndia
  3. 3.Birla Institute of Technology, MesraRanchiIndia
  4. 4.CSIR – National Physical LaboratoryNew DelhiIndia

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