The fat;igue, behavior of alumina and silicon car-bide has been investigated in this paper. Once visiable macro crack on ceramic materials appears,the specimen ruptures due to the high speed of crack propagation and s...The fat;igue, behavior of alumina and silicon car-bide has been investigated in this paper. Once visiable macro crack on ceramic materials appears,the specimen ruptures due to the high speed of crack propagation and small ultimate strain. It is indicated that the bending fatigue limit is equal to the threshod value of surface micro crack propagation and is deter-mined by the original defects and grain boundary force of mate-rials. For ceramic materials, the crack grmuth is controlled by the applied stress. By measuring the macroscopic residual strength,we can determine whether the micro-crack is expand-ing and calculate the growth rate of micro-crack.展开更多
In the present paper on the one hand we apply the central limit theorem to the solution of the sign problem of a path integral of two-interacting particles in potential and give an expression for the sign solved propa...In the present paper on the one hand we apply the central limit theorem to the solution of the sign problem of a path integral of two-interacting particles in potential and give an expression for the sign solved propagator (SSP) derived from that solution and on the other hand we perform the angular decomposition of the path integrals of the 2D and 3D Helium atoms. Finally, we combine those two results and derive the SSPs of the 2D and 3D Helium atoms.展开更多
文摘The fat;igue, behavior of alumina and silicon car-bide has been investigated in this paper. Once visiable macro crack on ceramic materials appears,the specimen ruptures due to the high speed of crack propagation and small ultimate strain. It is indicated that the bending fatigue limit is equal to the threshod value of surface micro crack propagation and is deter-mined by the original defects and grain boundary force of mate-rials. For ceramic materials, the crack grmuth is controlled by the applied stress. By measuring the macroscopic residual strength,we can determine whether the micro-crack is expand-ing and calculate the growth rate of micro-crack.
文摘In the present paper on the one hand we apply the central limit theorem to the solution of the sign problem of a path integral of two-interacting particles in potential and give an expression for the sign solved propagator (SSP) derived from that solution and on the other hand we perform the angular decomposition of the path integrals of the 2D and 3D Helium atoms. Finally, we combine those two results and derive the SSPs of the 2D and 3D Helium atoms.
