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Numerical analysis of rafts on visco‐elastic media using eigenvector expansions
Author(s) -
Brown P. T.,
Booker J. R.
Publication year - 1979
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610030107
Subject(s) - laplace transform , eigenvalues and eigenvectors , raft , finite element method , mathematics , computation , viscoelasticity , stiffness , transformation (genetics) , mathematical analysis , numerical analysis , structural engineering , engineering , materials science , algorithm , physics , biochemistry , chemistry , quantum mechanics , copolymer , composite material , gene , polymer
Problems of a raft on a visco‐elastic continuum may be converted to equivalent elastic problems by means of a Laplace transformation. In this paper a numerical solution of the equivalent problem is obtained by finite element or other techniques. This solution is converted into the form of an eigenvector expansion and then transformed into a numerical solution to the original problem by inverting the Laplace transform. This form of solution has the advantage of applying to any visco‐elastic model, and of requiring little additional computation as a result of changing the visco‐elastic model, the relative raft‐soil stiffness or the load pattern. The application of the method is illustrated by results for circular rafts, strip footings of finite length and rectangular rafts, and particular attention is paid to a realistic soil creep function which is asymptotic to a linear function of log time.