TY - JOUR
T1 - On the energy release rate of elliptical cracks in anisotropic elastic media
AU - Xue, Yibin
AU - Qu, Jianmin
PY - 2003
Y1 - 2003
N2 - This brief note discusses some issues related to the calculation of energy release rate for elliptical cracks in anisotropic solids. By using the Stroh formalism, analytical expressions of the energy release rate are obtained for elliptical cracks in an unbounded anisotropic solid. Because of material anisotropy and geometric asymmetry of the crack, the local energy release rate varies along the crack front. The average energy release rate can be obtained by integrating the local energy release rate over the entire crack front. On the other hand, the total work done by the crack-surface traction on the entire crack opening displacement can be easily evaluated once the crack opening displacement is known. It is shown that the average energy release rate is equal to the rate of change per unit crack area increment of the work done by the external load on the crack opening displacement.
AB - This brief note discusses some issues related to the calculation of energy release rate for elliptical cracks in anisotropic solids. By using the Stroh formalism, analytical expressions of the energy release rate are obtained for elliptical cracks in an unbounded anisotropic solid. Because of material anisotropy and geometric asymmetry of the crack, the local energy release rate varies along the crack front. The average energy release rate can be obtained by integrating the local energy release rate over the entire crack front. On the other hand, the total work done by the crack-surface traction on the entire crack opening displacement can be easily evaluated once the crack opening displacement is known. It is shown that the average energy release rate is equal to the rate of change per unit crack area increment of the work done by the external load on the crack opening displacement.
KW - Anisotropic material
KW - Elliptical crack
KW - Energy release rate
KW - Stress intensity factor
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U2 - 10.1017/S1727719100004263
DO - 10.1017/S1727719100004263
M3 - Article
AN - SCOPUS:0042783777
SN - 1727-7191
VL - 19
SP - 233
EP - 239
JO - Journal of Mechanics
JF - Journal of Mechanics
IS - 1
ER -