WANG Li-min, CHEN Hao-ran, XU Shi-lang. Conservation Law and Application of J-Integral in Multi-Materials[J]. Applied Mathematics and Mechanics, 2001, (10): 1097-1104.
 Citation: WANG Li-min, CHEN Hao-ran, XU Shi-lang. Conservation Law and Application of J-Integral in Multi-Materials[J]. Applied Mathematics and Mechanics, 2001, (10): 1097-1104.

# Conservation Law and Application of J-Integral in Multi-Materials

• Rev Recd Date: 2001-05-21
• Publish Date: 2001-10-15
• The conservation law of J integral in two-media with a crack paralleling to the interface of the two media was firstly proved by analytical and numerical finite element method.Then a schedule model was established that an interface crack is inserted in four media.According to the J-integral conservation law on multi-media,the energy release ratio of-type crack was considered to be conservation when the middle medium layers are very thin.And the conservation law was also convinced by numerical method.By means of the dimension analysis on the model,the asymptotic results and formula calculating the energy release ratio and complex stress intensity factor are presented.
•  [1] Hutchinson J W.Fundamentals of the phenomenological theory of nonlinear fracture mechanics[J].J Appl Mech,1983,50(4b):1042-1050. [2] Rice J R.A path independent integral and the approximate analysis of strain concentration by notches and cracks[J].J Appl Mech,1968,35:379-386. [3] Hutchinson J W.Singular behavior at the end of a tensile crack tip in a hardening material[J].J Mech Phys Solids,1968,16(1):13-31. [4] Dundurs J.Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading[J].J Appl Mech,1969,36:650-652. [5] Williams M L.The stress around a fault or crack in dissimilar media[J].Bull Seismol Soc Amer,1959,49(2):199-204. [6] Shih C F,Asaro R.Elastic-plastic analysis of cracks on bimaterial interfaces,Part 1:Small scale yielding[J].J Appl Mech,1988,55:299-316. [7] Yang W,Shih C F.Fracture along an iterlayer[J].Internat J Solids Structures,1994,31:985-1002. [8] Hutchinson J W,Mear M E,Rice J R.Crack paralleling an interface between dissimilar materials[J].J Appl Mech,1987,54(4):828-832. [9] Hutchinson J W,Suo Z.Mixed mode cracking in layered materials[A].In:Hutchinson J W,Wu T Y Eds.Advances in Applied Mechanics[C].Boston:Academic Press,1992,29:63-191. [10] Suo Z,Hutchinson J W.Sandwich test specimen for measuring interface crack toughness[J].Materials Science and Engineering,1989,A107:135-143.

### Catalog

###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142