The rectangular beams were widely used in architectural engineering, cracks would be appeared with the increase of service life and some human factors, and any cracks in it might cause hidden risks. The SIF was a physical quantity that reflected the elastic stress field of the crack tip, which was related to the size of the crack, the geometrical characteristic of the component and the load. Meanwhile, it was very important to find a simple method to solve the SIF for not only the fracture theory but also engineering application, as it was a key content of fracture mechanics. In previous studies, the shape of initial crack must be known to get SIF, but it was very difficult to be seen under the condition of test. This paper took the bending beam as an example, a new method to formulize the SIF for three kinds of cracks in rectangular beam under bending load was proposed by the basis of the conservation  J integral.

The filling, pretreatment of new catalyst of BASF 0466 and the changing of hot spot temperature when the material entered the reactor were investigated. It was found that the activity of catalyst can be optimized by adjusting the air flowed into the reactor and the reactor temperature in pretreatment of the catalyst|while the reaction has begun, the hot spot temperature mainly focused on the catalyst layer of CL4, as the reaction proceeded, the hot spot temperature is gradually transferred to the position of the catalyst layer of CL1. The hot spot temperature from 3 050 mm to move to the position of 650 nm and 550 mm. The hot spot temperature rises from 410.5 ℃ to 431.5 ℃, the hot spot temperature increase of 5.1%.

mine environment for visualization was studied used OpenGL and Visual C++. Put forward a bold application of particle system to simulate mine airflow direction. The research for mine operation of the engineering and technical personnel to provide convenient conditions, without the master professional knowledge can be applied to the technical ease of mine system changes of various operations. At the same can achieve the controllability and visualization of mine, and in the design process must advantage and improve the deficiencies, as the mine daily production provides assistant decision function.

It used VC++ and OpenGL as the main development tools for studying roadway, ventilation structures and mine ventilation power plant. Delaunay was used for roadway modeling researching, and roadway interchange ofmodeling and algorithm are also researched in this paper，meanwhile first proposed that texture image is used for researching ventilation structures and mine ventilation power plant.