The physical interpretation of the M-integral is investigated in the analysis of crackdamaged piezoelectric problems. The relation between the M-integral and the change of the total electric enthalpy （CTEE）, i.e., M...The physical interpretation of the M-integral is investigated in the analysis of crackdamaged piezoelectric problems. The relation between the M-integral and the change of the total electric enthalpy （CTEE）, i.e., M = 2CTEE, is derived with a theoretical derivation procedure for two^dimensional piezoelectric problems. It is shown that the M-integral may provide a more natural description of electric enthalpy release due to the formation of the pre-existing microcracks associated with the damaged body, rather than the description of the total potential energy release rate as interpreted for conventional brittle solids. For crack-damaged piezoelectric ceramics, numerical calculation of the M-integral is discussed. Based on the pseudo-traction electric displacement method, M = 2CTEE has also been proved by the numerical results.展开更多
The problems of finite bimaterial plates, hearing uniform tension, compact: tension and three point bending, are studied by using the eigenfunction expansion variation method (EEVM). And interfacial stress intensity f...The problems of finite bimaterial plates, hearing uniform tension, compact: tension and three point bending, are studied by using the eigenfunction expansion variation method (EEVM). And interfacial stress intensity factors (SIFs) are determined. The SIFs varying with shear modulus mu and Poisson's ratios nu of both materials are discussed.展开更多
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 t...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.展开更多
文摘The physical interpretation of the M-integral is investigated in the analysis of crackdamaged piezoelectric problems. The relation between the M-integral and the change of the total electric enthalpy （CTEE）, i.e., M = 2CTEE, is derived with a theoretical derivation procedure for two^dimensional piezoelectric problems. It is shown that the M-integral may provide a more natural description of electric enthalpy release due to the formation of the pre-existing microcracks associated with the damaged body, rather than the description of the total potential energy release rate as interpreted for conventional brittle solids. For crack-damaged piezoelectric ceramics, numerical calculation of the M-integral is discussed. Based on the pseudo-traction electric displacement method, M = 2CTEE has also been proved by the numerical results.
文摘The problems of finite bimaterial plates, hearing uniform tension, compact: tension and three point bending, are studied by using the eigenfunction expansion variation method (EEVM). And interfacial stress intensity factors (SIFs) are determined. The SIFs varying with shear modulus mu and Poisson's ratios nu of both materials are discussed.
文摘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.
