Experimental Relationship between Flexural Strength, Elastic Modulus of Ice Sheet and Equivalent Ice Temperature
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Abstract:
Experiments on Flexural Strength and Elastic Modulus of natural freshwater of Ulansuhai Lake in Inner Mongolia were conducted by in situ cantilever beam method. Applying the mechanics of materials method, under the conditions of assuming that the ice is homogeneous and isotropic, the rear of beam is rigidly connected, and there is no water buoyancy supported, the flexural strength and elastic modulus of ice sheet and ice sheet temperature vertical profile were calculated. First, the initial relationship between bending strength, elastic modulus and ice temperature in the middle of ice cantilever was established. Then the formula of the ice temperature vertical profile was brought into the initial relationship between the elastic modulus and the ice temperature, and then the elastic modulus vertical profile distribution was available. According to this, the approximate position of the neutral axis was determined when the ice had flexural failure. Using ice temperature at the approximate position of the neutral axis, the relationship between the elastic modulus and the ice temperature was established again. The more accurate position of the neutral axis could be determined by the iteration method. After four iterations, the position of the neutral axis was accurate. The ice temperature at the precise location of the neutral axis was used as the equivalent temperature of the ice layer. The experimental relationship between bending strength, elastic modulus and equivalent ice temperature was established. Analysis results showed that the temperature ranged from 1.831°C to 7.726°C, the flexural strength ranged from 436.12 kPa to 750.31 kPa and the elastic modulus ranged from 3.62 GPa to 6.71 GPa. The overall trends of flexural strength and elastic modulus were basically increasing with decreasing temperature.
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