Analytical formulas and design charts for transversely isotropic half-spaces subject to linearly distributed pressures

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• 作者：Francesco Marmo ; Ferdinando Toraldo ; Luciano Rosati
• 关键词：Transversely isotropic half ; spaces ; Boussinesq’s solution ; Linearly distributed vertical pressures
• 刊名：Meccanica
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：51
• 期：11
• 页码：2909-2928
• 全文大小：1,269 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mechanics
  Civil Engineering
  Automotive and Aerospace Engineering and Traffic
  Mechanical Engineering
  
• 出版者：Springer Netherlands
• ISSN：1572-9648
• 卷排序：51

文摘

We provide analytical formulas and design charts for computing displacements, strains and stresses in transversely isotropic half-spaces subject to linearly distributed vertical pressures. The domain integrals extended to the loaded region, resulting from the solution associated with a vertical point load, are first transformed into boundary integrals. For polygonal domains, the boundary integrals are further reduced to algebraic sums depending upon the loading function and the position vertices of the loaded region. A detailed account of this transformation is reported for all integrals in order to highlight the singularities to be coped with and how they can be circumvented. Design charts for the vertical stress are reported in order to validate the proposed formulation. Finally, the values of displacements and stresses underneath a foundation of arbitrary shape comparatively show the influence of modelling half-spaces as isotropic or transversely isotropic media.