OPTIMUM COMPOSITE-MATERIAL DESIGN

被引:18
作者
HASLINGER, J
DVORAK, J
机构
来源
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 1995年 / 29卷 / 06期
关键词
D O I
10.1051/m2an/1995290606571
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The microstructure identification problem is treated : given certain phases in given volume fractions, how to mir them in a periodic cell so that the effective material constants of the periodic composite lie the closest possible to ce,tain prescribed values ? The problem is studied for the linear conduction equation. It is stated in terms of optimal control theory; the admissible microgeometries are single inclusion ones. Existence of solution is proved under suitable hypotheses, as well as the convergence of numerical approximations. Numerical examples are presented. In the conduction case, the full characterization of the G(0)-closure set (the set of all effective conductivities that result from taking the given phases in the given volume fraction mixed in any feasible microgeometry) is known. One carried out numerical experiments how well can its boundaries be attained using the subclass of single inclusion microgeometries. Results of these experiments are shown as well.
引用
收藏
页码:657 / 686
页数:30
相关论文
共 24 条
[1]  
ALLAIRE G, 1993, EUR J MECH A-SOLID, V12, P839
[2]   OPTIMAL BOUNDS ON THE EFFECTIVE BEHAVIOR OF A MIXTURE OF 2 WELL-ORDERED ELASTIC-MATERIALS [J].
ALLAIRE, G ;
KOHN, RV .
QUARTERLY OF APPLIED MATHEMATICS, 1993, 51 (04) :643-674
[3]   OPTIMAL BOUNDS AND MICROGEOMETRIES FOR ELASTIC 2-PHASE COMPOSITES [J].
AVELLANEDA, M .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1987, 47 (06) :1216-1228
[4]  
BAKHVALOV NS, 1984, AVERAGED PROCESSES P
[5]  
Bendsoe M.P., 1989, STRUCT OPTIM, V1, P193, DOI DOI 10.1007/BF01650949
[6]  
BENSOUSSAN A., 1978, ASYMPTOTIC ANAL PERI
[7]  
DVORAK J, 1994, MAT31 DAN TU MATH I
[8]  
FRANCFORT GA, 1987, NONCLASSICAL CONTINU, P97
[9]  
GRABOVSKY Y, 1994, MICROSTRUCTURES MINI, V2
[10]  
GRABOVSKY Y, 1994, MICROSTRUCTURES MINI, V1