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# Mathematical Models for Stress–Strain Behavior of Nano Magnesia-Cement-Reinforced Seashore Soft Soil

by 1, 2,*, 1 and
1
School of Civil Engineering, Shaoxing University, Shaoxing, Zhejiang 312000, China
2
Department of Ocean Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
3
Department of Civil and Architecture Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, Jiangsu, China
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(3), 456; https://doi.org/10.3390/math8030456 (registering DOI)
Received: 11 February 2020 / Revised: 18 March 2020 / Accepted: 21 March 2020 / Published: 23 March 2020
(This article belongs to the Special Issue Mathematics and Engineering)
The stress–strain behavior of nano magnesia-cement-reinforced seashore soft soil (Nmcs) under different circumstances exhibits various characteristics, e.g., strain-hardening behavior, falling behavior, S-type falling behavior, and strong softening behavior. This study therefore proposes a REP (reinforced exponential and power function)-based mathematical model to simulate the various stress–strain behaviors of Nmcs under varying conditions. Firstly, the mathematical characteristics of different constitutive behaviors of Nmcs are explicitly discussed. Secondly, the conventional mathematical models and their applicability for modeling stress–strain behavior of cemented soil are examined. Based on the mathematical characteristics of different stress–strain curves and the features of different conventional models, a simple mathematical REP model for simulating the hardening behavior, modified falling behavior and strong softening behavior is proposed. Moreover, a CEL (coupled exponential and linear) model improved from the REP model is also put forth for simulating the S-type stress–strain behavior of Nmcs. Comparisons between conventional models and the proposed REP-based models are made which verify the feasibility of the proposed models. The proposed REP-based models may facilitate researchers in the assessment and estimation of stress–strain constitutive behaviors of Nmcs subjected to different scenarios. View Full-Text
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MDPI and ACS Style

Wang, W.; Fu, Y.; Zhang, C.; Li, N.; Zhou, A. Mathematical Models for Stress–Strain Behavior of Nano Magnesia-Cement-Reinforced Seashore Soft Soil. Mathematics 2020, 8, 456.

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