Abstract In this publication the u - w finite strain formulation is enhanced with a Generalized Plasticity model for sands. The new model is numerically solved using an Optimal Transportation Meshfree approach that is best suited for numerical analysis at finite strains. This new model allows to capture the hydro-mechanical response under large deformations of a saturated sand like soils where acceleration of water with respect the solid skeleton is not negligible. To the authors’ knowledge, no attempt has been previously devoted to include in the u - w finite strain approach an elastoplastic behavior from the Generalized Plasticity theory. In order to assess the validity of the proposed model, four standard laboratory tests are numerically reproduced: i) an undrained triaxial test under monotonic loading, ii) a triaxial consolidation test under monotonic loading with drained boundary conditions, iii) an undrained cyclic triaxial test and iv) a drained cyclic triaxial test. The observed results are qualitatively correct and in agreement with numerical solutions previously obtained by other researchers and with related experimental data.

中文翻译：

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大应变广义塑性框架下砂土循环行为的无网格建模

摘要 在本出版物中，u - w 有限应变公式通过砂的广义塑性模型得到增强。新模型使用最优运输无网格方法进行数值求解，该方法最适合有限应变下的数值分析。这个新模型允许捕捉在饱和沙子（如土壤）的大变形下的水力机械响应，其中水相对于固体骨架的加速度不可忽略。据作者所知，之前没有尝试将广义塑性理论中的弹塑性行为包含在 u-w 有限应变方法中。为了评估所提出模型的有效性，四个标准实验室测试在数值上重现：i) 单调加载下的不排水三轴测试，ii) 排水边界条件下单调加载下的三轴固结试验，iii) 不排水循环三轴试验和 iv) 排水循环三轴试验。观察到的结果在定性上是正确的，并且与其他研究人员先前获得的数值解和相关实验数据一致。