Equation icon  Corrected beam theory method for composite testing

 
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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
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Date created: 18 August 2010
Date added: 14 September 2010
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Resource ID: 3209