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A Finite Element Program (FECGS): Post-Processor FEPOST - GKSS

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Chapter 5<br />

QUANTITY DEFINITIONS<br />

5.1 The T -stress<br />

The definition of the T -stress can be written:<br />

T = σ spec<br />

xx − KI<br />

√ 2πr fxx(θ). (5.1)<br />

where σ spec<br />

xx is the x-direction normal stress in a near crack tip region of an actual specimen and<br />

loading. The second term on the right hand side of Eq. (5.1) is the first singular stress term in<br />

the Williams eigen-expansion.<br />

In <strong>FEPOST</strong>, the T -stress is calculated as follows:<br />

T = 1<br />

i=n �<br />

T<br />

n<br />

i =<br />

i=1<br />

i=n �<br />

i=1<br />

Alternatively, T i can also be obtained by,<br />

�<br />

iσspec xx (r i , θ = π) − KI<br />

√<br />

2πri fxx(θ i �<br />

) . (5.2)<br />

T i = [ i σ spec<br />

xx − i σ spec<br />

yy ] − KI<br />

√ 2πr i [fxx(θ i ) − fyy(θ i )] (5.3)

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