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李锡夔, S.Cescoto. 梯度塑性的有限元分析及应变局部化模拟[J]. 力学学报, 1996, 28(5): 575-584. DOI: 10.6052/0459-1879-1996-5-1995-371
引用本文: 李锡夔, S.Cescoto. 梯度塑性的有限元分析及应变局部化模拟[J]. 力学学报, 1996, 28(5): 575-584. DOI: 10.6052/0459-1879-1996-5-1995-371
FINITE ELEMENT ANALYSIS FOR GRADIENT PLASTICITY AND MODELLING OF STRAIN LOCALIZATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1996, 28(5): 575-584. DOI: 10.6052/0459-1879-1996-5-1995-371
Citation: FINITE ELEMENT ANALYSIS FOR GRADIENT PLASTICITY AND MODELLING OF STRAIN LOCALIZATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1996, 28(5): 575-584. DOI: 10.6052/0459-1879-1996-5-1995-371

梯度塑性的有限元分析及应变局部化模拟

FINITE ELEMENT ANALYSIS FOR GRADIENT PLASTICITY AND MODELLING OF STRAIN LOCALIZATION

  • 摘要: 对梯度塑性连续体提出了一个有限元方法.内状态变量的Laplacian的确定基于它在求积点邻域的最小二乘方多项式近似.具体地考虑了具有一点求积和Hourglass控制特点的基于胡海昌-Washizu变分原理的混合应变元和单元平均意义下的von-Mises屈服准则.解析地导出了梯度塑性下一致性单元切线刚度矩阵和速率本构方程的一致性积分算法.在所建议的非局部化途径中求积点的一致性条件在非局部化意义下逐点精确满足.数值例题表明所提出的非经典连续体的有限元方法求解应变局部化问题的有效性

     

    Abstract: A finite element method for gradient plastic continuum is presented The Laplacian of the internal state variable is determined on the basis of a least square polynomial approximation of the internal state variable around each integration point A mixed strain element with one point guadrature and hourglass control derived from the Hu-Washizu principle and the average von Mises yield criterion are particularly considered The consistent element stiffness matrix and consistent algorithm for the integratio...

     

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