AI SearchInfinite elements for quasi-statics of multi-layered saturated porous elastic half-spaces
Puswewala, Udeni Gnanapriya Anuruddha
Infinite elements for quasi-statics of multi-layered saturated porous elastic half-spaces - Bangkok : Asian Institute of Technology, 1986 - 48 p. - Thesis ; no. ST-86-21 . - Asian Institute of Technology. Thesis ; no. ST-86-21 .
A thesis study submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineering and Technology
Thesis (M.Eng.) - Asian Institute of Technology, 1986
The quasi-static behaviour of a saturated porous elastic half space loaded on the surface by a disk load is investigated using a finite element analysis scheme. The two types of loading considered are vertical and horizontal loads. The porous elastic medium is governed by Biot's consolidation theory. For the numerical analysis, a functional based on a variational principle deduced from Gurtin's principle for this class of problems is used. Fourier Expansion with respect to the angular coordinate is utilized to reduce the 3-D problem to a 2-D problem, since only systems with axial symmetry subjected to asymmetric loading are considered. The far field behaviour of displacements and pore pressure of the medium is investigated; based on this investigation, an appropriate porous elastic infinite element is introduced to model the far field of the domain, utilizing the concept of singular contraction to a parental finite element (an algorithm named FESC). Laplace transforms are used to remove the time dependence of the set of equations resulting from the first variation of the functional; Shapery' s inversion formula is used to obtain the inverse Laplace transforms, resulting in a system which avoids step-by-step computations for this transient problem. The good agreement of numerical results with already known analytical solutions validates the present scheme for use in the solution of more complicated consolidation problems.
Finite element method
Elastic analysis (Theory of structures)
Infinite elements for quasi-statics of multi-layered saturated porous elastic half-spaces - Bangkok : Asian Institute of Technology, 1986 - 48 p. - Thesis ; no. ST-86-21 . - Asian Institute of Technology. Thesis ; no. ST-86-21 .
A thesis study submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineering and Technology
Thesis (M.Eng.) - Asian Institute of Technology, 1986
The quasi-static behaviour of a saturated porous elastic half space loaded on the surface by a disk load is investigated using a finite element analysis scheme. The two types of loading considered are vertical and horizontal loads. The porous elastic medium is governed by Biot's consolidation theory. For the numerical analysis, a functional based on a variational principle deduced from Gurtin's principle for this class of problems is used. Fourier Expansion with respect to the angular coordinate is utilized to reduce the 3-D problem to a 2-D problem, since only systems with axial symmetry subjected to asymmetric loading are considered. The far field behaviour of displacements and pore pressure of the medium is investigated; based on this investigation, an appropriate porous elastic infinite element is introduced to model the far field of the domain, utilizing the concept of singular contraction to a parental finite element (an algorithm named FESC). Laplace transforms are used to remove the time dependence of the set of equations resulting from the first variation of the functional; Shapery' s inversion formula is used to obtain the inverse Laplace transforms, resulting in a system which avoids step-by-step computations for this transient problem. The good agreement of numerical results with already known analytical solutions validates the present scheme for use in the solution of more complicated consolidation problems.
Finite element method
Elastic analysis (Theory of structures)