The use of integral transforms in solving three dimensional problems in geomechanics |
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| Institution: | 1. Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, 291 Daehak-ro, Yuseong-gu, Daejeon 34141, Republic of Korea;2. Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA;1. College of Petroleum Engineering and Geosciences, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia;2. Memorial University of Newfoundland, St. John''s, NL A1B 3X5, Canada;1. Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, 291 Daehak-ro, Yuseong-gu, Daejeon 34141, Republic of Korea;2. Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA;1. Department of Civil and Environmental Engineering, SEJONG University, 98 Gunja-dong, Gwangjin-gu, Seoul 143-747, Republic of Korea;2. Department of Civil Engineering, Hanoi University of Mining and Geology, Hanoi, Viet Nam |
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| Abstract: | A method is presented which may be used to obtain solutions to geotechnical problems for the case where the soil profile is such that it is similar in one coordinate direction. If this is so, then Fourier transforms may be applied to the field quantities, thus reducing a problem which is essentially three dimensional to one involving only two spatial dimensions. This means great savings in computer storage and data preparation time as well as solution time. Solutions for the field quantities (i.e. displacements and stresses) at any point within the soil mass are found by applying inverse transforms and the required integration is carried out using numerical means. Examples of the application of the technique to common geotechnical problems are given to illustrate the use of the method. |
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