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Actually fatigue crack propagation including many factors of the material properties, geometric properties, load process and environmental conditions, etc., which are usually random[2].
As a result, the random fatigue crack propagation analysis methods and fatigue reliability evaluation considering various uncertain factors were also widely regarded by people.
These factors have greater uncertainty and randomness, being considered as random variables in crack propagation.
Because there are many factors naturally affecting ,, its distribution is unknown.
[3] Mingxiao Jiang, and Weiqiu Zhu: Mechanical Progress.

Experimental factors and levels.
The levels for the 3 factors considered are presented in table 2.
Factors and levels for the 23 factorial design.
The interaction between two factors is a variation in the difference of response between the levels of one factor at same levels of the other factors.
The rivet length revealed as the most affecting factor for the first three steps.

One of these parameters is the annealing, which affects the phase transformation temperatures and mechanical properties [5,6,7,8,9].
Ni-Ti alloys that are rich in Ni have their pseudoelastic properties enhanced when submitted to annealing thermal treatments at 350°C and increase driving force for Ti3Ni4 [4] precipitates.
Yao, Annealing Effect on the Shape Memory Properties of Amorphous NiTi Thin Films, Journal of Manufacturing Science and Engineering, 132 (2010), 051004-1- 051004-9
Tu, Factors Affecting Transformation Temperatures in Fe-Mn-Si-Cr-Ni Shape Memory Alloy, J.
Van Humbeeck, Effect of Annealing on the Transformation Behavior and Mechanical Properties of Two Nanostructured Ti-50.8at.

Their common disadvantages are: low productivity, low yield, instability of the physical and mechanical properties during further plastic processing of the alloy, etc.
The technology allows providing complex effect of such factors as high speed cooling and magnetohydrodynamic stirring during the liquid phase on crystallizing ingot.
The high rate of cooling is achieved by two factors.
Investigation of physical and mechanical properties of cast sections showed that the technology allows the combination of strength and plastic properties, which makes it possible to deform the material with degrees of deformation up to 99 % without intermediate annealing.
Physical and mechanical properties of alloy 01417M.

In this paper, a finite element model predicting machining deformation was developed considering the above mentioned multi-factors coupling effects.
Computer Simulation Material Properties of the Part.
The workpiece material is high-strength wrought aluminum alloy 7050-T7451 and its mechanical and thermal properties are given in Table1.
First the CAD model is established in software package ABAQUS, then input material's mechanical and physical properties, original residual stress and boundary conditions.
a) Machining work b) Tre multi-frame components c) Deformation measurement Fig.10 Measuring deformation of true frame component Conclusions 1）A machining deformation prediction model by FEM was developed considering multi-factors coupling effects including original residual stresses, cutting loads and clamping force.

The purpose of the work is to develop composite materials for light shockproof protective structures and to determine the nature of the packaging, the features of the structure and the level of their physical and mechanical properties.
Traditionally, this problem was solved by using protective means based on steel materials, which were modified for new factors [15, 16].
A distinctive feature of any structural material is that it preserves the specific individual properties of the layers and at the same time it can have new properties inherent only to it.
Achieving the appropriate effect is possible thanks to the use of materials with special normalized mechanical properties, which can be realized in sufficiently thick layers.
These factors complicate the structure and increase the cost of manufacturing, which is economically impractical.

Although the physical meaning and location of r0 still needs further discussion, the strain rate at a characteristic distance r0 in front of the crack tip could still be used for quantitative estimating the effect of mechanical factors on SCC growth rate.
Material mechanical property in welded joint.
The material mechanical property is continuous changed.
The continuous change of mechanical property is acquired by a pre-defined field approach in this paper [8], which could effectively reduce the effect of the material mechanical property errors on analyzed results.
In other hand, the numerical error would increase as r0 decrease because the mechanical singular exist at the crack tip, considering the above factors; 0.1 mm is adopted as a characteristic distance r0 in front of the crack tip in this paper.

Initial demonstration and preliminary data suggest interesting and rich dynamical, nonlinear, and dissipative properties in these micromechanical resonances.
In exploring and engineering new types of nano/microelectromechanical systems (NEMS/MEMS), the unique electrical, mechanical, thermal, and optical properties of a-SiC are very attractive, which combine and add on to the great comparative advantages of low-cost, easier, and CMOS-compatible material processes.
This process creates large aspect ratio (~625:1) membranes that may allow for unique properties that have not been investigated to date.
Figure 5: Measured quality factors (Q’s) of the various resonance modes, as a function of the resonance frequency.
Yang, Structural and electronic properties of low dielectric constant carbon rich amorphous silicon carbide, Diamond & Related Materials 12 (2003) 963-967

The factors which affect degree of substitution (DS) of carboxymethyl guar, such as the reaction temperature, the reaction time, the consumption of chloroacetic acid, and the consumption of sodium hydroxide etc were studied.
The flocculating property of the produced purifying agent was studied.
In the experiment, we used a rapid semidry chemical method to get carboxymethyl guar, and studied the impact of the reaction temperature, the amount of chloroacetic acid, alkali and other factors upon its DS [5].
Its flocculation property was determined in micro-polluted water.
Compared with the flocculation properties of the four kinds of flocculants including the carboxymethyl guar, chloride, ferric chloride and aluminum sulfate in micro-polluted water treatment process.

SPC is the method which applies the mathematical statistics to analyse the process of sample statistical data, and to determine whether the fluctuation in the production process is in an acceptable state, so that the whole process is only affected by the occasional factors in the stability of the controlled state, and the process performance is improved.
Key process improvements For the production log record was not perfect, this paper analyzes the factors that affect the moisture content of tobacco leaves in terms of 5M1E.It also controls the factors that may affect the moisture content of tobacco, and completes production logging.
Six factors for affecting the ability of the process 5M1E were investigated and analysed, a “seven practices for QC” Fishbone diagram for analysis was adopted, which is shown in Figure 2.
Improving the quality of feed grade of purity of the original tobacco and other indicators, ensuring consistency of the original tobacco physical-chemical properties
SPC control effect analysis After improving the analysis of the above factors, the data was collected and analysed as before, the results as shown in Figure 3.