岩土工程学报2012,Vol.34Issue(6):1094-1101,8.
梯度塑性理论的计算方法与应用
Application of gradient plastic theory based on FEPG platform
摘要
Abstract
Based on the FEPG platform, the finite element program using gradient plastic theory is developed to solve mesh dependence after strain softening. A μ-λ algorithm with damp factor is proposed, which can solve the equation of displacement and yield surface simultaneously. The algorithm can not only get displacement and plastic multiplier together, but also avoid the stress haul back calculation in stress return algorithm widely used in finite element solution procedures. The softening modulus and the internal character length are introduced into D-P yield function, and the constitutive model can consider strain softening and gradient effect. The damp Newton algorithm is used to calculate softening problems. The results of a case study show that the μ-λ algorithm with damp factor can be used to solve softening problems, the gradient plastic theory described by finite element weak form has no requirement of continuity, and appropriate outcome can be obtained by the first-order element, thus the mesh dependence of simulation is basically solved.关键词
梯度塑性理论/μ-λ算法/阻尼牛顿法/应变软化/网格依赖性Key words
gradient plastic theory μ-λ algorithm damp Newton method strain softening mesh dependence分类
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桂修力,侯世伟,路德春,梁国平,安超..梯度塑性理论的计算方法与应用[J].岩土工程学报,2012,34(6):1094-1101,8.基金项目
国家重点基础研究发展计划(973计划)项目 ()
教育部博士点基金项目 ()
国家高技术研究发展计划(863计划) ()