跨长度和跨层次现象以及相应的多尺度耦合反映物质世界的基本性质及多学科交叉的内禀特征,具有极其丰富的科学内涵.在材料设计及加工成型过程的模拟仿真中采用多尺度耦合方法具有极为重要的理论和工程意义.本文介绍了材料科学中多尺度的时空性质,各个不同尺度上的相关研究方法和建立多尺度耦合模型的基本思想;指出高聚物成型加工中采用多尺度研究方法的研究前景,并简要介绍短纤维复合材料的注射成型填充过程中双尺度多耦合模型的建模过程.
参考文献
[1] | 王崇愚.多尺度模型及相关分析方法[J].复杂系统与复杂性科学,2004(01):9-19. |
[2] | Celia Michael A;Rajaram Harihar;Ferrand lin A .Multi-scale computational model for multiphase flow in porous meadia[J].Advances in Water Resources,1993,16(01):81-92. |
[3] | JAMES BELAK .Multi-scale applications to high strain-rate dynamic fracture[J].Journal of Computer-Aided Materials Design,2002(2):165-172. |
[4] | H Rafii-Tabar;L Hua;M Cross .A multi-scale numerical modeling of crack propagation in a 2D metallic plate[J].Journal of Computer-Aided Materials Design,1998,4(03):165-173. |
[5] | Ghosh S.;Moorthy S.;Lee KH. .MULTIPLE SCALE ANALYSIS OF HETEROGENEOUS ELASTIC STRUCTURES USING HOMOGENIZATION THEORY AND VORONOI CELL FINITE ELEMENT METHOD[J].International Journal of Solids and Structures,1995(1):27-62. |
[6] | E W;Huang Z .Matching Conditions in atomistic-continuum modeling of materials[J].Physical Review Letters,2001,5:135501-1-135501-4. |
[7] | 黄克智;王自强.材料的宏微观力学与强韧化设计[M].北京:清华大学出版社,2003 |
[8] | Bensoussan J L Lions;G Papanicolaou.Asymptotic Analysis for Perildic Structures[M].North-Holland:Amsterdam,1978 |
[9] | J L Lions.Some Methods in the Mathematical Analysis of Systems and Their Control[M].北京:科学出版社,1981 |
[10] | National Academy of Sciences .Computational and Theoretical Techniques for Materials Sciences[Z].,1995. |
[11] | Materials Sciences and Engineering for 1990's[M].Washington,DC:National Academy Press,1989 |
[12] | L Q Cao;J Z Cui .Asymptotic expan-sions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichelt problems for second order elliptic equations in perforated domains[J].Numerische Mathematik,2004,96:525-581. |
[13] | P. Raghavan;S. Ghosh .Concurrent multi-scale analysis of elastic composites by a multi-level computational model[J].Computer Methods in Applied Mechanics and Engineering,2004(issues 6/8):497-538. |
[14] | H Rafii-Tabar;L Hua;M Cross .A multi-scale numerical modeling of crack propagation in a 2D metallic plate[J].Journal of Computer-Aided Materials Design,1998,4(03):165-173. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分:
-
10%
-
20%
-
30%
-
40%
-
50%