摘要
In this paper, a simple but inberent relation between theL-integral and the Buekner work conjugate integral is proved forcrack problems in isotropic, anisotropic, and dissimilar materi- als,respectively. It is found that, in the above-mentioned three cases,the L-integral, from the math- ematical point of view as well as inprinciple, arises from Betti's reciprocal theorem. This means thatthe Bueckner work conjugate integral is a more generalpath-independent integral than the others since any otherpath-independent integrals could be derived by using the Buecknerintegral while choosing a different subsidiary stress-displacementfield.
In this paper, a simple but inberent relation between theL-integral and the Buekner work conjugate integral is proved forcrack problems in isotropic, anisotropic, and dissimilar materi- als,respectively. It is found that, in the above-mentioned three cases,the L-integral, from the math- ematical point of view as well as inprinciple, arises from Betti's reciprocal theorem. This means thatthe Bueckner work conjugate integral is a more generalpath-independent integral than the others since any otherpath-independent integrals could be derived by using the Buecknerintegral while choosing a different subsidiary stress-displacementfield.
