A practical constitutive theory based on egg-shaped function in elasto-plastic modeling for soft clay
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A practical constitutive theory based on egg-shaped function in elasto-plastic modeling for soft clay JIANG Jia-qi(蒋佳琪)1, 2, XU Ri-qing(徐日庆)1, 2, YU Jian-lin(俞建霖)1, 2, QIU Zhi-jian(裘志坚)3, QIN Jian-she(秦建设)3, ZHAN Xiao-bo(詹晓波)4 1. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China; 2. Engineering Research Center of Urban Underground Space Development of Zhejiang Province, Hangzhou 310058, China; 3. Hangzhou Metro Group Co., Ltd., Hangzhou 310020, China; 4. Zhongtian Construction Group Limited Company, Hangzhou 310008, China © Central South University Press and Springer-Verlag GmbH Germany, part of Springer Nature 2020 Abstract: An exploratory discussion is presented on the application of egg-shaped function in elasto-plastic constitutive analysis for soft clay. Two main tasks of the paper are: 1) to propose a complete yield criterion based on egg-shaped function and supplement its definition in the deviatoric section, and then a yield criterion suitable for 3D stress conditions is obtained; 2) to elaborate its numerical implementation based on the drained triaxial tests. During the above discussion, a non-associated flow rule is proposed, in which the stress-dilatancy relationship in most classical theory is replaced by a linear dependence between the stress state parameter η and the rotation angle γ of the plastic potential surface. Thereafter, isotropic and kinematic hardening behavior is considered by employing the hardening parameter H, which can be expressed as the function of plastic work Wp. Finally, comparisons between numerical results and test data on Taizhou soft clay are made to verify the effectiveness of the proposed model. Key words: egg-shaped function; elastoplasticity; yield criterion; non-associated flow Cite this article as: JIANG Jia-qi, XU Ri-qing, YU Jian-lin, QIU Zhi-jian, QIN Jian-she, ZHAN Xiao-bo. A practical constitutive theory based on egg-shaped function in elasto-plastic modeling for soft clay [J]. Journal of Central South University, 2020, 27(8): 2424−2439. DOI: https://doi.org/10.1007/s11771-020-4459-y.
1 Introduction A variety of constitutive models with different levels of complexity have been proposed to simulate the elastoplastic behavior of cohesive and frictional materials. Among those models, the modified Cam clay (MCC) model [1] and the Mohr-Coulomb model are the most representative and popular in engineering analysis. Despite that, various extended formulations available for
complex stress conditions can also be found in the geotechnical literature [2−10]. For establishing an efficient constitutive model, different mechanical behaviors should be taken into consideration, e.g., elastic properties, cohesion, pressure-sensitive yielding, viscoplasticity, plastic flow and anisotropy [11−13]. These properties are almost related to the performance of yield function and can be reproduced by various mathematical mechanisms. Latest researches corroborate that a micromechanical constitutive modeling appears to
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