Discontinuum Mechanics of the One-Dimensional Consolidation of Soils

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Abstract

This paper deals with the one-dimensional primary consolidation of saturated fine-grained soils, described as a discontinuum process. The theory is based on two foundations: the ideal discrete space-time structure of matter, and the principle of the mean value. Discontinuous matter is described by the influence domain of a point or node. Since this domain is a statistical sample of the whole discontinuous body, any associated quantity may be described properly as a point estimator, which is determined by averaging the neighboring values within the influence domain. As a consequence, a parabolic differential equation is attained. When this estimator is linear and logarithmically related to the excess porewater pressure, the settlement, or the vertical strain of a fine-grained soil subjected to the consolidometer test, the theories proposed by Terzaghi, Davis and Raymond, and Mikasa can be weighed, and the abundant reported experimental data may be used to develop deductive relationships between the consolidation parameters.

Original languageEnglish
Title of host publicationChallenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 2
EditorsMarco Barla, Alice Di Donna, Donatella Sterpi
PublisherSpringer Science and Business Media Deutschland GmbH
Pages883-891
Number of pages9
ISBN (Print)9783030645175
DOIs
StatePublished - 2021
Event16th International Conference of the International Association for Computer Methods and Advances in Geomechanics, IACMAG 2021 - Turin, Italy
Duration: 5 May 20218 May 2021

Publication series

NameLecture Notes in Civil Engineering
Volume126
ISSN (Print)2366-2557
ISSN (Electronic)2366-2565

Conference

Conference16th International Conference of the International Association for Computer Methods and Advances in Geomechanics, IACMAG 2021
Country/TerritoryItaly
CityTurin
Period5/05/218/05/21

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Keywords

  • Discontinuum process
  • Pore water pressure dissipation
  • Settlement

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