Abstract
This paper presents a new boundary element analysis to solve elastic problems in layered halfspace whose material interface is non-horizontal to the horizontal boundary surface. Generalized Kelvin solutions (or Yue’s solutions) are applied as the fundamental solutions. Infinite boundary elements and Kutt’s numerical quadrature are applied to solve the influence of the far-field areas and strongly singular integrals, respectively. Finally, numerical examples show the influence of material interface for the distributions of displacements and stresses.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Pan, E., Yang, B., Cai, G., Yuan, F.G.: Stress analyses around hoels in composite laminates using boundary element method. Eng. Anal. Bound. Elem. 25, 31–40 (2001)
Pereira, O.J.B.A., Parreira, P.: Direct evaluation of Cauchy-principal-value integrals in boundary elements for infinite and semi-infinite three-dimensional domains. Eng. Anal. Bound Elem. 13, 313–320 (1994)
Moser, W., Duenser, Ch., Beer, G.: Mapped infinite elements for 3D multi-region boundary element analysis. Int. J. Numer. Meth. Eng. 61, 317–328 (2004)
Yue, Z.Q.: On generalized Kelvin solutions in a multilayered elastic medium. J. Elast. 40, 1–43 (1995)
Yue, Z.Q.: Yue’s solution of classical elasticity in n-layered solids: part 1, mathematical formulation. Front. Struct. Civ. Eng. 9(3), 215–249 (2015)
Yue, Z.Q.: Yue’s solution of classical elasticity in n-layered solids: part 2, mathematical verification. Front. Struct. Civ. Eng. 9(3), 250–285 (2015)
Beer, G., Watson, J.O.: Infinite boundary elements. Int. J. Numer. Meth. Eng. 28, 1233–1247 (1989)
Davies, T.G., Bu, S.: Infinite boundary elements for the analysis of the halfspace. Comput. Geomech. 19, 137–151 (1996)
Kutt, H.R.: Quadrature formulae for finite-part integrals. Special Report WISK 178, National Research Institute for Mathematical Sciences, Pretoria (1975)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this paper
Cite this paper
Xiao, S., Yue, Z. (2018). Boundary Element Analysis of Geomechanical Problems. In: Wu, W., Yu, HS. (eds) Proceedings of China-Europe Conference on Geotechnical Engineering. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-319-97112-4_97
Download citation
DOI: https://doi.org/10.1007/978-3-319-97112-4_97
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-97111-7
Online ISBN: 978-3-319-97112-4
eBook Packages: EngineeringEngineering (R0)