损伤演化方程的工程简化模型初探

BRIEF MODEL FOR DAMAGE EVALUATION EQUATION

建议采用一个损伤演化方程的工程简化模型,该模型与前人实验结果基本相符。按该模型,数学上的转折点与物理上的失稳点有对应关系。该模型还有四个方面的意义:①与Lemaitre小损伤理论相符;②可方便地解释损伤局部化现象;③可方便地导出疲劳裂纹萌生寿命的线性累积损伤准则;④可初步解决临界损伤值Dc等于1还是小于1的争论。该模型可望作为一种精度要求不高的工程简化模型来应用。

A brief model for damage evaluation equation is proposed. The model is conformity to the experimental data obtained by other researcher. According to this model, there is corresponding relation between taming point of the damage evaluation curve in mathematics and statelessness point in physics. There are four characteristics in the model. ①The model accords with the Lemaitre theory of small damage. ②The phenomenon of damage localization can be interpreted easily by the model. ③The learner accumulated damage criterion for fatigue crack initiation life can be introduced easily by the model. ④The dispute that whether the critical damage Do equal to 1 or less than 1 can be solved preliminarily by the model. Therefore, the model can be used approximately in engineering.