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材料的率相关与梯度二、四阶耦合模型的内尺度律与稳定性研究 被引量：1

A discussion on internal length scales and strain localization for rate dependent and gradient-dependent model with second and fourth order
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摘要 在率相关与梯度塑性二阶耦合本构模型的基础上,提出了二、四阶率相关与梯度塑性耦合模型。采用简谐波的分析方法对材料的应变局部化及材料的稳定性进行了研究,得到了二、四阶耦合模型在一维情况下的内尺度律的变化及材料稳定性的关系,得到了波长变化的上下界及材料稳定性的条件;并对其进行了对比性研究,得到材料稳定点移动的规律。 Based on theoretic study and numerical calculation of second order rate dependent and gradient-dependent model, second and fourth order rate dependent and gradient-dependent model is put forward. Strain localization and stability of material by simple harmonic motion for new mixture model are studied. The laws of internal length scales and conditions of material stability are obtained at one dimension condition for new mixture model. At last, the influence of material stability for rate term and gradient term in the second and fourth order mixture model has been obtained.
作者 陈刚 潘一山 张洪武
机构地区 大连海事大学数学系 辽宁工程技术大学 大连理工大学工业装备结构分析国家重点实验室
出处 《计算力学学报》 CAS CSCD 北大核心 2007年第6期751-755,共5页 Chinese Journal of Computational Mechanics
基金 国家自然科学基金(50244015) 辽宁省自然科学基金(20032144)资助项目
关键词 应变局部化 内尺度律 稳定点 率相关与梯度耦合模型 strain localization internal length scales stability state rate and gradient-dependent model
分类号 TB39 [一般工业技术—材料科学与工程] O317 [理学—一般力学与力学基础]
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参考文献18

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二级参考文献14

  • 1Zhang Hongwu，Int J Mechanics Cohesive Frictional Materials Structures，1999年，4卷，443页
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  • 3Zhang HW, Schrefler BA. Gradient-dependent plasticity model and dynamic strain localisation analysis of saturated and partially saturated porous media: one dimensional model. European Journal of Solid Mechanics, A/Solids,2000, 19(3): 503～524
  • 4Li XK, Zhang JB, Zhang HW. Instability of wave propagation in saturated poroelastoplastic media. Int J Numer Anal Meths Geomechanics, 2002, 26(6): 563～578
  • 5Zhang HW, Heeres OM, DeBorst R, Schrefler BA. Implicit integration of a generalized plasticity constitutive model for partially saturated soil. Engineering Computations, 2001,18(1/2): 314～336
  • 6Zhang HW, Sanavia L, Schrefler BA. Numerical analysis of dynamic strain localisation in initially water saturated dense sand with a modified generalised plasticity model.Computers & Structures, 2001, 79:441～459
  • 7DeBorst R. Some recent issues in computational failure mechanics. Int J Numer Meths Engng, 2001, 52:63～95
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  • 9张洪武.渗流作用下饱和多孔材料应变局部化有限元分析研究工作的现状与若干进展.见:白以龙,杨卫主编,力学2000.北京:气象出版社,2000.237-239(Zhang Hongwu.Current research and some advances on the finite element analysis for strain localization analysis of seepage saturated porous media. In: Bai Yilong, Yang Wei eds. Mechanics 2000,Beijing: Qixiang Press, 2000. 237-239 (in Chinese))
  • 10Zhang HW, Sanavia L, Schrefler BA. An internal length scale in dynamic strain localisation of multiphase porous media. Mechanics of Cohesive-Frictional Materials and Structures, 1999, 4:443～460

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计算力学学报
2007年 第6期

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