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FURTHER INVESTIGATION OF THE J_2-INTEGRAL IN BIMATERIAL SOLIDS
作者姓名:Wang  Defa  Chen  Yiheng  Liu  Caisheng
作者单位:Department of Engineering Mechanics,Xi'an Jiaotong University,Xi'an 710049,China
基金项目:Project supported by the National Natural Science Foundation of China(No.19472053),the Doctorate Foundation of Xi'an Jiaotong University(No.DFXJU2000-15).
摘    要:The J_2-integral induced from the interface of bimaterial solids(J_2~(interface))is stud-ied by numerical method.First,the effect on the J_2-integral induced from the interface is verysignificant in bimaterial solids,which is inherently related to that induced from the subinterfacecracks.Moreover,it can be concluded that either the first or the second component of the J_k-vector is always equal to zero when the contour encloses both the cracks and the whole interfacein bimaterial solids.Secondly,it can also be concluded that the interface does produce significanteffect on the J_2-integral induced from the subinterface cracks(J_2~(sub))in bimaterial solids.Thiseffect depends on the geometry of the crack arrangement,which is corresponding to the differentinteraction effect among the cracks and the interface.Moreover,the interface effect on the J_2~(sub)can be neglected when the distance from the crack center to the interface is large enough,whichreveals that the bimaterial solids can be regarded as homogenous solids in fracture analysis whenthe subinterface crack is far enough from the interface.Three examples are given in this paper.


FURTHER INVESTIGATION OF THE J_2-INTEGRAL IN BIMATERIAL SOLIDS
Wang Defa Chen Yiheng Liu Caisheng.FURTHER INVESTIGATION OF THE J_2-INTEGRAL IN BIMATERIAL SOLIDS[J].Acta Mechanica Solida Sinica,2003(2).
Authors:Wang Defa Chen Yiheng Liu Caisheng
Abstract:The J_2-integral induced from the interface of bimaterial solids(J_2~(interface))is stud- ied by numerical method.First,the effect on the J_2-integral induced from the interface is very significant in bimaterial solids,which is inherently related to that induced from the subinterface cracks.Moreover,it can be concluded that either the first or the second component of the J_k- vector is always equal to zero when the contour encloses both the cracks and the whole interface in bimaterial solids.Secondly,it can also be concluded that the interface does produce significant effect on the J_2-integral induced from the subinterface cracks(J_2~(sub))in bimaterial solids.This effect depends on the geometry of the crack arrangement,which is corresponding to the different interaction effect among the cracks and the interface.Moreover,the interface effect on the J_2~(sub) can be neglected when the distance from the crack center to the interface is large enough,which reveals that the bimaterial solids can be regarded as homogenous solids in fracture analysis when the subinterface crack is far enough from the interface.Three examples are given in this paper.
Keywords:bimaterial solids  J_2-integral  J_k-vector  the interface  integral contour  subinterface cracks  interaction effect
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