A symmetrisation method for non-associated unified hardening model
A symmetrisation method for non-associated unified hardening model
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DOI：
10.1016/j.compgeo.2013.03.004
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发表时间：
2013-07
影响因子：
5.3
通讯作者：
Ting Luo;Zhenhua Qin;Xing Feng;Fei Xia-;Yang-ping Yao;D. Sheng
中科院分区：
文献类型：
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作者：
Ting Luo;Zhenhua Qin;Xing Feng;Fei Xia-;Yang-ping Yao;D. Sheng
本文提出了一种非关联流动法则引起的非对称弹塑性矩阵的对称化方法。对称化基于数学变换，并且不会改变增量应力-应变关系。得到的应力增量与用原非对称弹塑性矩阵得到的应力增量相同。采用对称化方法对统一硬化模型进行积分，其中由于应力变换，弹塑性矩阵是不对称的。通过三轴拉伸试验和地基承载力等边值问题的有限元分析，验证了该方法的性能。结果表明，对称化方法可以提高有限元分析的收敛性，并大大减少非关联弹塑性模型的计算时间。
This paper presents a simple method for symmetrising the asymmetric elastoplastic matrix arising from non-associated flow rules. The symmetrisation is based on mathematical transformation and does not alter the incremental stress–strain relationship. The resulting stress increment is identical to that obtained using the original asymmetrized elastoplastic matrix. The symmetrisation method is applied to integrate the Unified Hardening (UH) model where the elastoplastic matrix is asymmetric due to stress transformation. The performance of the method is verified through finite element analysis (FEA) of boundary value problems such as triaxial extension tests and bearing capacity of foundations. It is found that the symmetrisation method can improve the convergence of the FEA and reduce computational time significantly for non-associated elastoplastic models.