Discontinuum Mechanics of the One-Dimensional Consolidation of Soils

Calixtro Yanqui Murillo

doi:10.1007/978-3-030-64518-2_105

Discontinuum Mechanics of the One-Dimensional Consolidation of Soils

Calixtro Yanqui Murillo

Departamento Académico de Ingeniería Civil

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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 language	English
Title of host publication	Challenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 2
Editors	Marco Barla, Alice Di Donna, Donatella Sterpi
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	883-891
Number of pages	9
ISBN (Print)	9783030645175
DOIs	https://doi.org/10.1007/978-3-030-64518-2_105
State	Published - 2021
Event	16th International Conference of the International Association for Computer Methods and Advances in Geomechanics, IACMAG 2021 - Turin, Italy Duration: 5 May 2021 → 8 May 2021

Publication series

Name	Lecture Notes in Civil Engineering
Volume	126
ISSN (Print)	2366-2557
ISSN (Electronic)	2366-2565

Conference

Conference	16th International Conference of the International Association for Computer Methods and Advances in Geomechanics, IACMAG 2021
Country/Territory	Italy
City	Turin
Period	5/05/21 → 8/05/21

Bibliographical note

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

Keywords

Discontinuum process
Pore water pressure dissipation
Settlement

Access to Document

10.1007/978-3-030-64518-2_105

Cite this

Yanqui Murillo, C. (2021). Discontinuum Mechanics of the One-Dimensional Consolidation of Soils. In M. Barla, A. Di Donna, & D. Sterpi (Eds.), Challenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 2 (pp. 883-891). (Lecture Notes in Civil Engineering; Vol. 126). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-64518-2_105

Yanqui Murillo, Calixtro. / Discontinuum Mechanics of the One-Dimensional Consolidation of Soils. Challenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 2. editor / Marco Barla ; Alice Di Donna ; Donatella Sterpi. Springer Science and Business Media Deutschland GmbH, 2021. pp. 883-891 (Lecture Notes in Civil Engineering).

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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.",

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Yanqui Murillo, C 2021, Discontinuum Mechanics of the One-Dimensional Consolidation of Soils. in M Barla, A Di Donna & D Sterpi (eds), Challenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 2. Lecture Notes in Civil Engineering, vol. 126, Springer Science and Business Media Deutschland GmbH, pp. 883-891, 16th International Conference of the International Association for Computer Methods and Advances in Geomechanics, IACMAG 2021, Turin, Italy, 5/05/21. https://doi.org/10.1007/978-3-030-64518-2_105

Discontinuum Mechanics of the One-Dimensional Consolidation of Soils. / Yanqui Murillo, Calixtro.

Challenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 2. ed. / Marco Barla; Alice Di Donna; Donatella Sterpi. Springer Science and Business Media Deutschland GmbH, 2021. p. 883-891 (Lecture Notes in Civil Engineering; Vol. 126).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - 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.

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Yanqui Murillo C. Discontinuum Mechanics of the One-Dimensional Consolidation of Soils. In Barla M, Di Donna A, Sterpi D, editors, Challenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 2. Springer Science and Business Media Deutschland GmbH. 2021. p. 883-891. (Lecture Notes in Civil Engineering). doi: 10.1007/978-3-030-64518-2_105

Discontinuum Mechanics of the One-Dimensional Consolidation of Soils

Abstract

Publication series

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Bibliographical note

Keywords

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