The explicit formulations for theL-integral |
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Authors: | Shi Junping Liu Xiehui Chen Yiheng |
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Affiliation: | (1) Department of Engineering Mechanics, Xi'an University Technology, 710048 Xi'an, China;(2) School of Civil Engineering and Mechanics, Xi'an Jiaotong University, 710049 Xi'an, China |
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Abstract: | In this paper, a simple but inberent relation between theL-integral and the Bueckner work conjugate integral is proved for crack problems in isotropic, anisotropic, and dissimilar materials, respectively. It is found that, in the above-mentioned three cases, theL-integral, from the mathematical point of view as well as in principle, arises from Betti's reciprocal theorem. This means that the Bueckner work conjugate integral is a more general path-independent integral than the others since any other path-independent integrals could be derived by using the Bueckner integral while choosing a different subsidiary stress-displacement field. |
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Keywords: | integral work conjugate integral crack subsidiary field path-independent |
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