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Derivation of Universal Curves for Nonlinear Soil Consolidation with Potential Constitutive Dependences

Author

Listed:
  • Gonzalo García-Ros
  • Iván Alhama
  • Manuel Cánovas
  • Francisco Alhama

Abstract

Nonlinear consolidation scenarios, based on potential type constitutive dependences—like those proposed by Juárez-Badillo—and eliminating the more restrictive hypothesis of 1+e and d z constant, were characterized by the nondimensionalization process of the governing equations, providing the independent dimensionless groups that rule the main unknowns of interest. From these, universal curves have been depicted for both the characteristic time and the average degree of consolidation. The solutions were verified by numerical simulations and successfully compared in a case study, showing the simplicity of use of the curves and the high reliability of the solutions they provide.

Suggested Citation

  • Gonzalo García-Ros & Iván Alhama & Manuel Cánovas & Francisco Alhama, 2018. "Derivation of Universal Curves for Nonlinear Soil Consolidation with Potential Constitutive Dependences," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-15, December.
    • Handle: RePEc:hin:jnlmpe:5837592
    DOI: 10.1155/2018/5837592
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    Cited by:

    1. Encarnación Martínez-Moreno & Gonzalo García-Ros & Iván Alhama & Francisco Alhama, 2023. "Characterization of Flow under Impervious Dams: Dimensionless Groups and Universal Solutions," Mathematics, MDPI, vol. 11(3), pages 1-22, January.
    2. Juan Francisco Sánchez-Pérez & Gonzalo García-Ros & Manuel Conesa & Enrique Castro & Manuel Cánovas, 2023. "Methodology to Obtain Universal Solutions for Systems of Coupled Ordinary Differential Equations: Examples of a Continuous Flow Chemical Reactor and a Coupled Oscillator," Mathematics, MDPI, vol. 11(10), pages 1-28, May.
    3. Gonzalo García-Ros & Iván Alhama, 2020. "Method to Determine the Constitutive Permeability Parameters of Non-Linear Consolidation Models by Means of the Oedometer Test," Mathematics, MDPI, vol. 8(12), pages 1-18, December.
    4. Juan Francisco Sánchez-Pérez & Santiago Oviedo-Casado & Gonzalo García-Ros & Manuel Conesa & Enrique Castro, 2024. "Understanding Complex Traffic Dynamics with the Nondimensionalisation Technique," Mathematics, MDPI, vol. 12(4), pages 1-14, February.

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