Fillunger–Heinrich’s Theory of Porodynamics: Predictive Power and Analytical Solution
Publication: Journal of Engineering Mechanics
Volume 148, Issue 3
Abstract
The first articulation of the second type of dilatational wave propagating through fluid-saturated geomaterials has been traced to Heinrich’s formulation built on Fillunger’s framework of the mixture theory and Terzaghi’s principle of effective stress. Although this Fillunger–Heinrich theory (FHT) precedes the celebrated Biot’s wave theory and Frenkel’s theory, research has yet to systematically investigate the FHT’s predictive ability. To value the scientific heritage, the original formulation of FHT was first revisited with minor corrections and then reformulated in a dimensionless form. Using the method of separation of variables, an analytical solution was developed for the dimensionless FHT in the context of consolidation under instantaneously applied surcharge and with one-way drainage at the top boundary of the consolidating stratum. The predictive power of FHT was validated against available wave measurements; the proposed solution was verified against the finite-difference method with nonclassical Newmark’s integration schemes. The parametric analysis conducted herein further suggests that FHT can qualitatively interpret observed complex phenomena, including the consolidation delay effect, the top-down progressive pattern, and the initial settlement overestimation. FHT significantly fills the knowledge gap between Terzaghi’s classic theory and Biot’s theory, thus enabling engineers to analyze the one-dimensional dynamic behavior of saturated geo-/poro-materials with incompressible constituents.
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Data Availability Statement
All data and models generated or used during the study appear in the published paper. The FDM code that supports the findings of this study is available from the corresponding author upon reasonable request.
Acknowledgments
The first author would like to thank the National Natural Science Foundation of China for supporting the early investigation into consolidation theories with applications (Grant Nos. 51278028, 41172221, and 50708077). Haixia Zhao and Kaite Qin of ifn FTZ GmbH in Germany contributed to the translation of German papers.
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Journal of Engineering Mechanics
Volume 148 • Issue 3 • March 2022
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© 2021 American Society of Civil Engineers.
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Received: Apr 5, 2021
Accepted: Sep 28, 2021
Published online: Dec 22, 2021
Published in print: Mar 1, 2022
Discussion open until: May 22, 2022
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