A simple but inherent relation between the L-integral and the Bueckner work conjugate integral is deduced for crack problem in isotropic, anisotropic, and dissimilar materials, respectively. It is proved the L-integral, from the mathematical point of view as well as in principle, is arising from the Betti’s reciprocal theorem. [S0021-8936(00)00103-3]

1.
Knowles
,
J. K.
, and
Sternberg
,
E.
,
1972
, “
On a Class of Conservation Laws in Linearized and Finite Elastostatics
,”
Arch. Ration. Mech. Anal.
,
44
, pp.
187
211
.
2.
Bueckner, H. F., 1973, Mechanics of Fracture: Methods of Analysis and Solution of Crack Problems, G. C. Sih, ed., Noordhoff, Leyden, pp. 239–314.
3.
Chen
,
Y. H.
, and
Shi
,
J. P.
,
1998
, “
On the Relation Between the M-integral and the Bueckner Work-Conjugate Integral
,”
Acta Mech. Sin.
,
30
, pp.
495
502
(in Chinese).
4.
Rice
,
J. R.
,
1988
, “
Elastic Fracture Mechanics Concepts for Interface Cracks
,”
J. Appl. Mech.
,
55
, pp.
98
103
.
5.
Sih
,
G. C.
, and
Chen
,
E. P.
,
1981
, “
Cracks in Composite Materials
,”
Mech. Fracture
,
6
, pp.
1
99
.
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