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Efficient BEM Formulation for Analysis of Plates on Tensionless Half Space

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Ground Improvement and Earth Structures (GeoMEast 2017)

Abstract

A new boundary element formulation (BEM) for the analysis of thick plates on unilateral elastic half space (EHS) is presented. Plate stiffness matrix is computed at degrees of freedom postulated at the interaction domain zone of the elastic half space. Hence this stiffness matrix is added to the corresponding stiffness matrix of the elastic half space. A condensation process is carried out in the elastic half space stiffness matrix to eliminate DOF with tensile stresses. Initially the plate is solved under the total applied load. An iterative process is performed to obtain the final contact zone. An example is presented to demonstrate the validity of the proposed technique and the results are compared to previously published results. The results of the present analysis are more proven to be more accurate than those obtained from previously published compared to finite element (FEM) results.

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Acknowledgements

This project was supported financially by the Science and Technology Development Fund (STDF), Egypt, Grant No 14910. The second author would like to acknowledge the support of (STDF).

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Correspondence to Youssef F. Rashed .

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Reda, M., Rashed, Y.F. (2018). Efficient BEM Formulation for Analysis of Plates on Tensionless Half Space. In: Bouassida, M., Meguid, M. (eds) Ground Improvement and Earth Structures. GeoMEast 2017. Sustainable Civil Infrastructures. Springer, Cham. https://doi.org/10.1007/978-3-319-63889-8_12

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