对材料非线性多级分析的计算模型与算法进行研究,重点是单胞分析算法构造问题.采用近似技术建立非线性分析的本征应变矩阵,使方法具有简单与实现方便的特点,在此基础上构造了针对弹塑性材料均匀化分析的一致性算法,以两种材料组成的复合材料为例进行了例题计算,验证了文中方法的有效性.并讨论了进一步值得研究的问题.
参考文献
| [1] | Suquet P M. Elements of homogenization of inelastic solid mechanics [A]. In: Sanchez P E, Zaoui A, ed. Homogenization Techniques for Composite Media [C], Berlin: Springer-Verlag, 1987, 194-275. |
| [2] | Dvorak G J, Baher E D. A bimodal plasticity theory of fibrous composite materials [J]. Acta Mechnica, 1987, 69(2): 219-241. |
| [3] | Dvorak G J. Transformation field analysis of inelastic composite materials [J]. Proc R Soc London, 1992, A437: 311-327. |
| [4] | Boyd J G, Costanzo F, Allen D H. A micromechanics approach for constructing locally averaged damage dependent constitutive equations in inelastic composites [J]. Int J Damage Mech, 1993, 2(2): 209-228. |
| [5] | Allen D H, Jones R H, Boyd J. G. Micromechanical analysis of continuous fiber metal matrix composite including the effects of matrix viscoplasticity and evolving damage [J]. J Mech Phys Solids, 1994, 42(6): 505-529. |
| [6] | Ghosh S, Moorthy S. Elasto-plastic analysis of arbitrary heterogeneous materials with the Voronoi-Cell Finite Element Method [J]. Comp Meth Appl Mech Engng, 1995, 121(4): 373-409. |
| [7] | Costanzo F, Boyd J G, Allen D H. Micromechanics and homogenization of inelastic composite materials with growing cracks [J]. J Mech Phys Solids, 1996, 44(3): 333-370. |
| [8] | Schroeder J, Miehe C. Aspects of computational homogenization analysis of polycrystalline materials [A]. In:Owen D R J, Hinton E, ed. Computational Plasticity[C]. Barcelona: Science Press, 1997,1004-1011. |
| [9] | Reiter T, Dvorak G J. Micromechanical models for graded composite materials [J]. J Mech Phys Solids, 1997, 45(6): 1281-1302. |
| [10] | Zhang H W, Galvanetto U, Schrefler A B. Local analysis and global nonlinear behaviour of periodic assemblies of bodies in elastic contact [J]. Computational Mechanics, 1999, 24 (4): 217-229. |
| [11] | 张洪武. 弹性接触颗粒状周期性结构材料力学分析的均匀化方法(一): 局部RVE分析 [J]. 复合材料学报,2001, 18(4):93-97. |
| [12] | 张洪武. 弹性接触颗粒状周期性结构材料力学分析的均匀化方法(二): 宏观均匀化分析 [J]. 复合材料学报,2001,18(4):98-102. |
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