The present study develops the fracture theory for a two-dimensional octagonal quasicrystals. The exact analytic solution of a Mode Ⅱ Griffith crack in the material was obtained by using the Fourier transform and dua...The present study develops the fracture theory for a two-dimensional octagonal quasicrystals. The exact analytic solution of a Mode Ⅱ Griffith crack in the material was obtained by using the Fourier transform and dual integral equations theory, then the displacement and stress fields, stress intensity factor and strain energy release rate were determined, the physical sense of the results relative to phason and the difference between mechanical behaviors of the crack problem in crystal and quasicrystal were figured out. These provide important information for studying the deformation and fracture of the new solid phase.展开更多
The generalized 2D problem in piezoelectric media with collinear cracks is addressed based on Stroh's formulation and the exact electric boundary conditions on the crack faces. Exact solutions are obtained, respec...The generalized 2D problem in piezoelectric media with collinear cracks is addressed based on Stroh's formulation and the exact electric boundary conditions on the crack faces. Exact solutions are obtained, respectively, for two special cases: one is that a piezoelectric solid withN collinear cracks is subjected to uniform loads at infinity, and the other is that a piezoelectric solid containing a single crack is subjected to a line load at an arbitrary point. It is shown when uniform loads are applied at infinity or on the crack faces that, the stress intensity factors are the same as those of isotropic materials, while the intensity factor of electric displacement is dependent on the material constants and the applied mechanical loads, but not on the applied electric loads. Moreover, it is found that the electric field inside any crack is not equal to zero, which is related to the material properties and applied mechanical-electric loads.展开更多
By using the method of stress functions, the problem of mode-Ⅱ Griffith crack in decagonal quasicrystals was solved. First, the crack problem of two-dimensional quasi-crystals was decomposed into a plane strain state...By using the method of stress functions, the problem of mode-Ⅱ Griffith crack in decagonal quasicrystals was solved. First, the crack problem of two-dimensional quasi-crystals was decomposed into a plane strain state problem superposed on anti-plane state problem and secondly, by introducing stress functions, the 18 basic elasticity equations on coupling phonon-phason field of decagonal quasicrystals were reduced to a single higher- order partial differential equations. The solution of this equation under mixed boundary conditions of mode-Ⅱ Griffith crack was obtained in terms of Fourier transform and dual integral equations methods. All components of stresses and displacements can be expressed by elemental functions and the stress intensity factor and the strain energy release rate were determined.展开更多
In the present paper,a two-dimensional flow-reaction mathematical model is developed by integrating a deliberate kinetic and coking model with the k-ε turbulence model and heat transfer model that contains the conduc...In the present paper,a two-dimensional flow-reaction mathematical model is developed by integrating a deliberate kinetic and coking model with the k-ε turbulence model and heat transfer model that contains the conduction within the laminar layer near the tubular wall. Numerical simulation on a naphtha cracker and an ethane cracker in Yanshan Petrochemical company utilizing the developed flow-reaction model showed that the predicted exit composition is in agreement with the production data. Reasonable distributions of some product yields and engineering parameters are also obtained in the radial and axial directions. This suggests that the established flow-reaction model can be used for performance simulation in commercial tubular reactor of steam crackers.展开更多
充填体与围岩的相互力学作用,除了接触带表壁附近可以通过贴置电阻应变片的方式进行应变值测量外,接触面及接触带附近的损伤破坏情况不易监测。基于此,应用磁场理论,将磁粉加入到配比试样中,充磁之后进行加载试验。通过特斯拉计测量试...充填体与围岩的相互力学作用,除了接触带表壁附近可以通过贴置电阻应变片的方式进行应变值测量外,接触面及接触带附近的损伤破坏情况不易监测。基于此,应用磁场理论,将磁粉加入到配比试样中,充磁之后进行加载试验。通过特斯拉计测量试样表壁在加载过程中的磁感应强度变化,建立由表及里的损伤破坏联系规律。试验结果表明:加了磁粉的配比试样,在加载过程中各监测点处的磁感应强度值变化明显,特别是在内部裂纹扩展至临空面处的磁感应强度几乎减小至0.2 m T以下;而试样在加载过程中,各监测点的磁感应强度值随着压密破坏而变化;在未破坏时,不同区域有较一致的随试样内部压密相应磁感应强度增大的变化规律,而在试样加载破坏后,不同监测点磁感应强度变化起伏较大。展开更多
文摘The present study develops the fracture theory for a two-dimensional octagonal quasicrystals. The exact analytic solution of a Mode Ⅱ Griffith crack in the material was obtained by using the Fourier transform and dual integral equations theory, then the displacement and stress fields, stress intensity factor and strain energy release rate were determined, the physical sense of the results relative to phason and the difference between mechanical behaviors of the crack problem in crystal and quasicrystal were figured out. These provide important information for studying the deformation and fracture of the new solid phase.
基金The project supported by the National Natural Science Foundation of China(19772004)
文摘The generalized 2D problem in piezoelectric media with collinear cracks is addressed based on Stroh's formulation and the exact electric boundary conditions on the crack faces. Exact solutions are obtained, respectively, for two special cases: one is that a piezoelectric solid withN collinear cracks is subjected to uniform loads at infinity, and the other is that a piezoelectric solid containing a single crack is subjected to a line load at an arbitrary point. It is shown when uniform loads are applied at infinity or on the crack faces that, the stress intensity factors are the same as those of isotropic materials, while the intensity factor of electric displacement is dependent on the material constants and the applied mechanical loads, but not on the applied electric loads. Moreover, it is found that the electric field inside any crack is not equal to zero, which is related to the material properties and applied mechanical-electric loads.
文摘By using the method of stress functions, the problem of mode-Ⅱ Griffith crack in decagonal quasicrystals was solved. First, the crack problem of two-dimensional quasi-crystals was decomposed into a plane strain state problem superposed on anti-plane state problem and secondly, by introducing stress functions, the 18 basic elasticity equations on coupling phonon-phason field of decagonal quasicrystals were reduced to a single higher- order partial differential equations. The solution of this equation under mixed boundary conditions of mode-Ⅱ Griffith crack was obtained in terms of Fourier transform and dual integral equations methods. All components of stresses and displacements can be expressed by elemental functions and the stress intensity factor and the strain energy release rate were determined.
文摘In the present paper,a two-dimensional flow-reaction mathematical model is developed by integrating a deliberate kinetic and coking model with the k-ε turbulence model and heat transfer model that contains the conduction within the laminar layer near the tubular wall. Numerical simulation on a naphtha cracker and an ethane cracker in Yanshan Petrochemical company utilizing the developed flow-reaction model showed that the predicted exit composition is in agreement with the production data. Reasonable distributions of some product yields and engineering parameters are also obtained in the radial and axial directions. This suggests that the established flow-reaction model can be used for performance simulation in commercial tubular reactor of steam crackers.
文摘充填体与围岩的相互力学作用,除了接触带表壁附近可以通过贴置电阻应变片的方式进行应变值测量外,接触面及接触带附近的损伤破坏情况不易监测。基于此,应用磁场理论,将磁粉加入到配比试样中,充磁之后进行加载试验。通过特斯拉计测量试样表壁在加载过程中的磁感应强度变化,建立由表及里的损伤破坏联系规律。试验结果表明:加了磁粉的配比试样,在加载过程中各监测点处的磁感应强度值变化明显,特别是在内部裂纹扩展至临空面处的磁感应强度几乎减小至0.2 m T以下;而试样在加载过程中,各监测点的磁感应强度值随着压密破坏而变化;在未破坏时,不同区域有较一致的随试样内部压密相应磁感应强度增大的变化规律,而在试样加载破坏后,不同监测点磁感应强度变化起伏较大。
