Work

Closed‐Form Hypoplastic Solutions for Normally Consolidated Soil in Element Tests

Year: 2025

Type: article

Abstract: ABSTRACT The hypoplastic theory has gained significant attraction in the geomechanics community for constitutive modeling and numerical simulation. However, the absence of an analytical benchmark for numerical simulations incorporating the hypoplastic model remains a notable gap. This study revisits the basic hypoplastic model for normally consolidated soil, as proposed by Wu et al., by providing explicit formulations of the failure criterion and material parameters. Furthermore, closed‐form hypoplastic solutions are derived for normally consolidated soil in three elemental tests: oedometer, simple shear and true triaxial tests. The solutions are assessed by comparing the analytical results with numerical integration and geotechnical test data. Additionally, a novel formula for estimating the at‐rest earth pressure coefficient is derived, and compared to the widely adopted Jaky equation. Our solutions not only provide insights into hypoplastic model enhancement but also serve as robust benchmarks for numerical implementations.

Source: International Journal for Numerical and Analytical Methods in Geomechanics

DOI: 10.1002/nag.3994

Authors: Chengwei Zhu, Shun Wang, Wei Wu, Chong Peng

Institutions: Zhejiang University, Wuhan University, State Key Laboratory of Water Resources and Hydropower Engineering Science, BOKU University, Southeast University

Language: English

Topic: Geotechnical Engineering and Soil Mechanics

Subfield: Civil and Structural Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,530

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities