This paper systematically summarizes the current researches on the numerical simulations of concrete size effect , and based on micro-level,macro-level and multi-level, sums up the concrete numerical models for correlational study, and compares the advantages and disadvantages of these concrete numerical models,and points out some problems needing attention in the research on the size effect.

The results show that the above strengths of steel fiber reinforced concretes are obviously superior to those of plain concrete;while the strengths of steel fiber reinforced regenerated concretes obviously have the advantage over those of steel fiber reinforced boulder concretes;the strengths of multi-size steel fiber reinforced concretes are not as strong as those.

The results show that the tension properties of silicon nano-rods are similar to that of macroscopic brittle material:there are no linear elastic stages and ductile yield stages; The influence of size effects is observed: The Young’s modulus and tensile strength for silicon nano-rods found increa.

Experimental results show that there is an obvious small size effects of nano-cnystalline.

However,the size effects of test values are to be solved.

Modification of size effect formula of fracture toughness of concrete for three-point bending specimens;

Study on size effect of melting temperature of Pb nanowires;

Hardness indentation size effect of KDP crystals for ultra-precision machining surface;