弹塑性von Mises本构模型的完全隐式数值积分算法研究
RESEARCH OF FULLY IMPLICIT NUMERICAL INTEGRATION ALGORITHM FOR THE ELASTOPLASTIC VON MISES MODEL
查看参考文献16篇
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文摘
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完全隐式返回映射算法是一种数值积分算法,可以避免预测应力漂移屈服面的现象,对于准静态变形条件下的本构方程可以获得准确的解,在迭代中使用Newton-Raphson法可获得近似平方的收敛速率,具有较高的精确性和稳定性.本文在弹塑性和非线性有限元理论框架下,基于相关联等向硬化von Mises本构模型的返回映射算法(Return Mapping Algorithm)和相对应的一致切线模量(Consistent Tangent Modulus),来用C++语言编制了弹塑性求解程序,同时编制后处理接口程序将结果文件转化为Tecplot软件可以显示的数据格式,完成有限元数值计算及结果的可视化.最后给出了两个算例,对所编程序的正确性进行验证,且对地基塑性区的发展变化,以及位移和应力进行图形显示.结果表明了算法的可靠性和稳定性,以及程序的准确性和实用性,可以用其对弹塑性问题进行数值分析. |
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其他语种文摘
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Fully implicit return mapping algorithm is a kind of a numerical integration algorithm, which can avoid the drift phenomenon of the trial stress, and achieve the accurate solution of the constitutive equation on the condition of the quasi-static deformation, a quadratic convergence rate when using the Newton-Raphson iteration scheme, higher accuracy and stability. The elastoplastic solution program is compiled using C++ based on the return mapping algorithm of the associative isotropic hardening von Mises constitutive model and the corresponding consistent tangent modulus in the theoretical framework of the elastoplastic and the nonlinear finite element. The pre-processing interface program is compiled, and the results file into the data format which can displayed by Tecplot software, to complete the finite element numerical calculation and visualization of the results. At last two examples are given to certify the correctness of the program, and to the development of plastic zone and the graphics display of the displacement and the stress. Results show that the reliability and the stability of the algorithm, and the accuracy and the practicability of the program, which can be used to the numerical analysis of the elastoplastic problems. |
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来源
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数值计算与计算机应用
,2014,35(2):103-116 【扩展库】
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关键词
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返回映射算法
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积分算法
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von Mises本构模型
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可视化
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程序编制
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地址
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1.
大连海事大学道路与桥梁工程研究所, 辽宁, 大连, 116026
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西安建筑科技大学, 西安, 710055
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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1000-3266 |
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学科
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自动化技术、计算机技术 |
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文献收藏号
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CSCD:5158357
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参考文献 共
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