It is well known that freezing of capillary water causes frost damage of concrete. The authors hadproposed the modified mechanism of frost damage as follows1) . When supercooled water freezes ice crystal grows very rapidly. Therefore the increase of volume makes unfreezing water flow very quickly. Subsequently large hydraulic pressure causes fracture of pore system and length change. Those are recognized as frost damage. The proposed mechanism mentioned above was just qualitative.
In this paper the authors proposed quantitative model that describes length change under a freezing and thawing cycle. The proposed model is verified from the result of TMA measurement of mortar. Furthemore correspondence to the result of freezing and thawing test of concrete is examined. Consequently the quantitative estimation of frost resistance of concrete is capable by measuring temperature, air void system, pore structure and tensile strength of Cementitious material.