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A Report on a Mathematical Model Describing the Deformation Characteristics of Granular Materials
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1963-01-01
[PDF-2.26 MB]
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Abstract:Laboratory stress-strain curves of granular soils were analyzed for the purpose of formulating a general law of deformation for these materials. The analysis led to the development of a mathematical expression that describes the deformation characteristics of granular materials more accurately than the elastic theory equation which it is intended to replace. The proposed deformation law contains three constants - K1, K2, and K3 - in lieu of the two constants, Poisson's ratio and Young's modulus, used in elasticity. The constant K1 is analogous to Poisson's ratio, and K2 to Young's modulus, while K3 is a new constant with no counterpart in elastic theory. They are experimentally determined from triaxial compression tests. The deformation constants K2 and K3 were obtained from measurements made on specimens subjected to rapid repetitive loading similar to that experienced by materials in a highway. They were also determined from specimens not previously stressed and loaded at relatively slow rates. The results suggest that the values of K2 and K3 vary with molding moisture content, unit weight, particle angularity, speed of load application, and the number of previous repetitions of the load.
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