多孔介质材料的损伤效应函数问题研究

Study on the Probles of Damage Effective Functions in Porous Media Materials

损伤效应函数反映了损伤对相互独立的弹性常数间的不同影响,其详细表达式依赖于损伤的几何特征且可以由细观损伤力学知识得到。首先给出多孔介质材料的损伤与孔隙度之间的关系,然后推导出各向同性损伤材料的双标量损伤变量的基本方程表达式。接着从损伤和孔隙度的关系角度出发,探讨了多孔介质材料的孔隙度和损伤对损伤效应函数的影响等目前尚不清楚的问题。研究结论对损伤力学问题的进一步研究能起到一定的参考和借鉴作用。

Damage effective functions reflect the affections related the damage variables to the elastic constants independent of each other of the materials, and its detailed expressions were defined by the geometric features and could be derived from the micro-mechanical damage theories. Firstly, the relationship between the porosity rate and damage variables of the porous materials were given, and then the double scalar damage variables expressions of the isotropic elastic damage were derived. Then, the different influence to damage effective functions by the porosity rate and damage variable in porous media materials was discussed and some valuable conclusions were derived from the point of the relationship between the porosity rate and damage variable. It is shown that the conclusions are beneficial to the further research on the damage mechanics theory.