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Keywords: scaled boundary analysis, initial valued non-homogeneous half space, mapping type infinite element, vertical variation.

Summary

In this paper the infinite element approach was studied to analyze the initial valued non-homogeneous elastic half space by the scaled boundary analysis. The free surface of the initial valued non-homogeneous elastic half space was modeled as a boundary of the circumferential direction of the scaled boundary coordinate [1].

The infinite element was used to represent the infinite length of the free surface. The initial value of material property was considered by the position of the scaling center and the power function of the radial direction. By the use of the mapping type infinite element, the consistent element formulation could be available. To represent the infinite length of the element, the coordinates can be represented by an infinite mapping function.

The performance and the feasibility of proposed approach are examined by a numerical example for a stiff strip type footing, embedded in a non-homogeneous half plane. The vertical displacements of nodes due to horizontal traction on the surface of footing were also estimated. The responses of infinite model show the consistent manner, but the responses of approximated analysis show the greatest divergence for the analysis range.

References

1: J.P. Doherty and A.J. Deeks, "Scaled finite element analysis of a non-homogeneous elastic half space", Int. J. for numerical methods in engineering, 57, 955-973, 2003. doi:10.1002/nme.706

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 86 PROCEEDINGS OF THE ELEVENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: B.H.V. Topping Paper 102 Introducing the Infinite Element for Scaled Boundary Analysis of an Initial Valued Non-Homogeneous Elastic Half Space G.H. Lee¹, A.J. Deeks², H.W. Lee³ and H.J. Chung⁴ ¹National Mokpo Maritime University, Korea ²University of Western Australia, Australia ³Pukyoung University, Korea ⁴Jeonju University, Korea doi:10.4203/ccp.86.102 purchase the full-text of this paper Full Bibliographic Reference for this paper G.H. Lee, A.J. Deeks, H.W. Lee, H.J. Chung, "Introducing the Infinite Element for Scaled Boundary Analysis of an Initial Valued Non-Homogeneous Elastic Half Space", in B.H.V. Topping, (Editor), "Proceedings of the Eleventh International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 102, 2007. doi:10.4203/ccp.86.102 Keywords: scaled boundary analysis, initial valued non-homogeneous half space, mapping type infinite element, vertical variation. Summary In this paper the infinite element approach was studied to analyze the initial valued non-homogeneous elastic half space by the scaled boundary analysis. The free surface of the initial valued non-homogeneous elastic half space was modeled as a boundary of the circumferential direction of the scaled boundary coordinate [1]. The infinite element was used to represent the infinite length of the free surface. The initial value of material property was considered by the position of the scaling center and the power function of the radial direction. By the use of the mapping type infinite element, the consistent element formulation could be available. To represent the infinite length of the element, the coordinates can be represented by an infinite mapping function. The performance and the feasibility of proposed approach are examined by a numerical example for a stiff strip type footing, embedded in a non-homogeneous half plane. The vertical displacements of nodes due to horizontal traction on the surface of footing were also estimated. The responses of infinite model show the consistent manner, but the responses of approximated analysis show the greatest divergence for the analysis range. References 1 J.P. Doherty and A.J. Deeks, "Scaled finite element analysis of a non-homogeneous elastic half space", Int. J. for numerical methods in engineering, 57, 955-973, 2003. doi:10.1002/nme.706 purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £120 +P&P)
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