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    <subfield code="a">Puswewala, Udeni Gnanapriya Anuruddha</subfield>
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    <subfield code="a">Infinite elements for quasi-statics of multi-layered saturated porous elastic half-spaces</subfield>
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    <subfield code="c">1986</subfield>
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    <subfield code="a">Thesis ;</subfield>
    <subfield code="v">no. ST-86-21</subfield>
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    <subfield code="a">A thesis study submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineering and Technology</subfield>
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    <subfield code="a">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.</subfield>
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