Sinergi
Vol. 30 No. 2 (2026)

Pore-water pressure as the stress reference in the stress state variables for unsaturated soils, a theoretical revisit

Sugeng Krisnanto (Geotechnical Engineering Research Group, Civil Engineering Program, Institut Teknologi Bandung (ITB))
Sahlan Safar Insanul Zhafir Ruhyana (Civil Engineering Graduate Program, Institut Teknologi Bandung (ITB))
Chrysti Adi Wicaksono (Civil Engineering Graduate Program, Institut Teknologi Bandung (ITB))
Muhammad Ikhsan Muslimin (Civil Engineering Graduate Program, Institut Teknologi Bandung (ITB))



Article Info

Publish Date
07 Jun 2026

Abstract

Stress state variables refer to the state of stresses that control shear strength and volume change of unsaturated soils. When the pore-water pressure, uw, is taken as the stress reference, the stress state variables are expressed as (s - uw), (ua - uw), and uw for soils with compressible soil solids, and as (s - uw) and (ua - uw) for soils with incompressible soil solids. The existing theoretical derivation was based on the equilibrium equation of water, air, and contractile skin phases. However, several steps in the existing derivation are not clearly presented and are challenging to follow. These steps are in the initial stage of the equilibrium derivation and in the elimination of the third variable, uw, for incompressible soil solids. This paper presents revisit of the theoretical derivation to obtain the stress state variables. This revisit considers stress times area in place of force instead of stress times porosity in place of force as in the existing derivation. The proposed approach provides a clearer and more transparent procedure for eliminating uw from the governing equations when the solid particles are assumed to be incompressible. This revisit also provides sound stress state variables for unsaturated soils with both compressible and incompressible solids. Overall, the theoretical revisit in this paper offers clearer interpretation and a more comprehensible derivation. In addition, it supports the validity and correctness of the commonly adopted stress state variables used in the constitutive modelling of unsaturated soils.

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Journal Info

Abbrev

sinergi

Publisher

Subject

Civil Engineering, Building, Construction & Architecture Control & Systems Engineering Electrical & Electronics Engineering Engineering Industrial & Manufacturing Engineering

Description

SINERGI is a peer-reviewed international journal published three times a year in February, June, and October. The journal is published by Faculty of Engineering, Universitas Mercu Buana. Each publication contains articles comprising high quality theoretical and empirical original research papers, ...