Equation icon  Corrected beam theory method for composite testing

Use this resource: Use this resource icon
Link to this page: http://core.materials.ac.uk/search/detail.php?id=3209
View at:        
Resource type: Equation
Description: This modified beam theory equation assumes that the crack is effectively longer than that measured during the Double Cantilever Beam (DCB) test. The additional crack length is calculated from the sample's compliance (C=δ / P). Plotting C1/3 against a yields a linear graph in which the line of best fit crosses the x-axis at some negative value of a. The magnitude of this value is the additional crack length, Δ

TeX format; {G_{Ic} = \frac{3 P \delta}{2B(a+\Delta)}}

GIc {G_{Ic}} = mode I fracture energy (J.m-2) {J.m^{-2}}
P {P} = force (N) {N}
δ {\delta} = displacement at point of force (m) {m}
B {B} = sample width (m) {m}
a {a} = distance from P to crack tip (m) {m}
Δ {\Delta} = distance ahead of crack tip to area where beam is perfectly built in (m) {m}

Keywords: DCB • double • Cantilever • beam • testing • mechanical • composites
Categories: Science approaches
Materials > Hybrids > Composites
Testing, analysis & experimentation > Mechanical testing
Created by: The University of Liverpool
License: This resource is released under the Creative Commons Attribution license (2.0 UK: England & Wales).
Creative Commons Attribution logo
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
View the full legal code here.
Date created: 18 August 2010
Date added: 14 September 2010
Resource ID: 3209