Issue 45

G. Gomes et alii, Frattura ed Integrità Strutturale, 45 (2018) 67-85; DOI: 10.3221/IGF-ESIS.45.06

Integral Equation. Proceedings of the XXXVII Iberian Latin-American Congress on Computational Methods in Engineering, ABMEC/RIPE, Brasília, DF, Brazil, 2(6), pp. 120-133. [19] Stroustrup, B. and Ellis, M.A., (1990). The Annotated C++, Reference Manual, AT&T Bell Laboratories, Murray Hill, New Jersey, USA. [20] ABAQUS Software Documentation, Version 6.9 by SIMULIA, (2009). [21] Anderson, T.L. (1995). Fracture Mechanics: Fundamentals and Applications. 2 nd ed, CRC Press, Boca Raton, FL, USA.

NOMENCLATURE

i, j

Cartesian components

 ij

(x’,x) (x’,x)

Kelvin fundamental solutions for traction Kelvin fundamental solutions for displacement

U ij

CPV HPV

Cauchy Principal Value Hadamard Principal Value

 ij

the Kronecker delta

(x’,x), Dijk(x’,x)

Stress and Displacements Tensors

S ijk SIF

Stress Intensity Factor

, K II

SIFs at the crack tip for modes I and II

K I

E

Young’s modulus Poisson ratio

v

 t

Angular coordinate with centre at the crack tip

C orrection angle



K K

Equivalent SIF (mode I)

Ieq

Stiffness fracture

Ic

Ieq K   



Equivalent intensity factor range

da/dN

Crack growth rate

85