The algorithmic tangent modulus at finite strains in current configuration plays an important role in the nonlinear finite element method. In this work, the exact tensorial forms of the algorithmic tangent modulus at ...The algorithmic tangent modulus at finite strains in current configuration plays an important role in the nonlinear finite element method. In this work, the exact tensorial forms of the algorithmic tangent modulus at finite strains are derived in the principal space and their corresponding matrix expressions are also presented. The algorithmic tangent modulus consists of two terms. The first term depends on a specific yield surface, while the second term is independent of the specific yield surface. The elastoplastic matrix in the principal space associated with the specific yield surface is derived by the logarithmic strains in terms of the local multiplicative decomposition. The Drucker-Prager yield function of elastoplastic material is used as a numerical example to verify the present algorithmic tangent modulus at finite strains.展开更多
对加入1%纳米硅的黏性砂土进行温度-2℃、围压0.3~18 MPa的常规三轴压缩试验。试验结果表明:掺入纳米硅的冻结黏性砂土强度明显提高,在σ3=3 M Pa时强度提高甚至达到130%。将强度随围压的变化分成三个阶段:强化阶段,压融阶段,残余阶段...对加入1%纳米硅的黏性砂土进行温度-2℃、围压0.3~18 MPa的常规三轴压缩试验。试验结果表明:掺入纳米硅的冻结黏性砂土强度明显提高,在σ3=3 M Pa时强度提高甚至达到130%。将强度随围压的变化分成三个阶段:强化阶段,压融阶段,残余阶段。试验应力-应变曲线具有应变软化特性,修正的Duncan-Chang双曲线模型与其吻合良好。通过对修正的Duncan-Chang双曲线模型进行微分,分析得到初始切线模量随围压的变化可分成强化、压融和残余三个阶段。展开更多
基金Project supported by the National Natural Science Foundation of China(Nos.41172116,U1261212,and 51134005)
文摘The algorithmic tangent modulus at finite strains in current configuration plays an important role in the nonlinear finite element method. In this work, the exact tensorial forms of the algorithmic tangent modulus at finite strains are derived in the principal space and their corresponding matrix expressions are also presented. The algorithmic tangent modulus consists of two terms. The first term depends on a specific yield surface, while the second term is independent of the specific yield surface. The elastoplastic matrix in the principal space associated with the specific yield surface is derived by the logarithmic strains in terms of the local multiplicative decomposition. The Drucker-Prager yield function of elastoplastic material is used as a numerical example to verify the present algorithmic tangent modulus at finite strains.
文摘对加入1%纳米硅的黏性砂土进行温度-2℃、围压0.3~18 MPa的常规三轴压缩试验。试验结果表明:掺入纳米硅的冻结黏性砂土强度明显提高,在σ3=3 M Pa时强度提高甚至达到130%。将强度随围压的变化分成三个阶段:强化阶段,压融阶段,残余阶段。试验应力-应变曲线具有应变软化特性,修正的Duncan-Chang双曲线模型与其吻合良好。通过对修正的Duncan-Chang双曲线模型进行微分,分析得到初始切线模量随围压的变化可分成强化、压融和残余三个阶段。
