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The magnitudes is near, or exceeds, the strength limit of the material and may be damaged.
The original design is not satisfied the tensile condition of material.
R( x) ≤[σ] (2) ximin ≤ xi ≤ ximax , i = 1 ,2 , ⋯, N (3) of which, the thickness of the main member plate on the structure as the variant, M( x) is mass of hooklift, D（x）is displacement, [σ] is permissible stresses of materials (355 MPa) , R( x) is von-mises stress of hooklift [5].
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Acknowledgments This work was supported by the National Natural Science Foundation of China (No. 50978067), National Key Technology Support Program（2006BAJ08B05, the 11th Five-year specific events of water（2008ZX07421-002, 2009ZX07424-005, 2009ZX07424-006）and the Doctor Research Fund of Northeast Dianli University (No.
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In recent years, with the improvement of ozone generator performance, pre-ozonation method has begun showing a very broad application prospect in drinking water treatment because of its unique advantages, such as strong oxidation , large reaction velocity, local production, raw materials readily available, easy to use and so on[1], [2].
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Due to the temperature rise to material elastic modulus decrease the deformation restore begin and develop a Negative shift.
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Fractional derivatives provide an excellent tool for the description of memory and hereditary properties of various materials and processes.
The advantages of fractional derivatives become apparent in modeling mechanical and electrical properties of real materials.
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These days, a lot of research is being done to identify substitute building materials because cement and other elements required to make concrete are becoming scarce.
Concrete containing FA and CS was compared to standard concrete without these materials to determine its fresh and hardened qualities. 2.
In addition, they are biodegradable and renewable, which makes them environmentally favorable materials for a range of applications like sustainable building, the production of activated carbon, and handicrafts.
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