<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The dimensionless groups that govern the Davis and Raymond non-linear consolidation model, and its extended versions resulting from eliminating several restrictive hypotheses, were deduced. By means of the governing equations nondimensionalization technique and introducing the characteristic time concept, both in terms of settlement and pressures, was obtained (for the most general model) that the average degree of settlement only depends on the dimensionless time while the average degree of pressure dissipation does it, additionally, on the loading ratio. These results allowed the construction of universal curves expressing the solutions of the unknowns of interest in a direct and simple way.</p>
</abstract>

The dimensionless groups that govern the Davis and Raymond non-linear consolidation model, and its extended versions resulting from eliminating several restrictive hypotheses, were deduced. By means of the governing equations nondimensionalization technique and introducing the characteristic time concept, both in terms of settlement and pressures, was obtained (for the most general model) that the average degree of settlement only depends on the dimensionless time while the average degree of pressure dissipation does it, additionally, on the loading ratio. These results allowed the construction of universal curves expressing the solutions of the unknowns of interest in a direct and simple way.

Dimensionless characterization of the non-linear soil consolidation problem of Davis and Raymond. Extended models and universal curves

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

The dimensionless groups that govern the Davis and Raymond non-linear consolidation model, and its extended versions resulting from eliminating several...

Dimensionless characterization of the non-linear soil consolidation problem of Davis and Raymond. Extended models and universal curves

Published Online: Jun 21, 2019

Page range: 61 - 78

Received: Feb 20, 2019

Accepted: Apr 13, 2019

DOI: https://doi.org/10.2478/AMNS.2019.1.00008

Keywords
non-linear consolidation, dimensionless groups, characteristic time, average degree of settlement

© 2019 G. García-Ros et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Dimensionless characterization of the non-linear soil consolidation problem of Davis and Raymond. Extended models and universal curves

Published Online: Jun 21, 2019

Page range: 61 - 78

Received: Feb 20, 2019

Accepted: Apr 13, 2019

DOI: https://doi.org/10.2478/AMNS.2019.1.00008

Keywordsnon-linear consolidation, dimensionless groups, characteristic time, average degree of settlement

© 2019 G. García-Ros et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
non-linear consolidation, dimensionless groups, characteristic time, average degree of settlement