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Principle of Super Position of Rate of Settlement in 2D and 3D Consolidations

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Abstract

A principle of super position of rate of settlement for two and three dimensional consolidations is introduced. Using this principle, equations for two and three dimensional consolidations are derived in simple and short manner. They are compared with the existing equations of (3D) consolidation. It is shown that they are same. In literature 3D consolidation equation exists in polar co-ordinates only that means for radial and vertical consolidation. New equations are derived for 2D and 3D consolidation in Cartesian co-ordinates. A method of 3D consolidation is proposed when the time or settlement at the instant of load-increment are not known. The method is applicable in step as well as (uniform and non-uniform) ramp loading. A method is suggested to obtain the time-compression data of radial and 3D consolidation when only the vertical consolidation test is conducted and vice versa.

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Correspondence to Sudhir Kumar Tewatia.

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Tewatia, S.K. Principle of Super Position of Rate of Settlement in 2D and 3D Consolidations. Geotech Geol Eng 33, 1369–1378 (2015). https://doi.org/10.1007/s10706-015-9903-7

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