损伤材料中扩展裂纹的应力场

利用Ｇｕｒｓｏｎ本构理论，导出了损伤材料在平面应力条件下准静态定常扩展Ｉ型裂纹近裂纹线应力场和裂纹前方塑性区尺寸的解析表达式。研究结果表明：随着材料损伤量的增加，裂纹尖端处应力降低；裂纹尖端处应力不存在奇异性；裂纹前方塑性区尺寸受材料损伤程度的影响。

The Stress Field of the Crack Growing in a Damaged Elasto-Plastic Material

By employing Gurson's constitutive theory,the analytic expressions for the stress fkeldnear the crack line and the dimensions of the plastic zone for quasi-steady state tensile crackgrowth in a damaged elasto-plastic material have been derived under the plane stress condi-tion,It is shown that the stress near the crack tip reduces with increasd damage and the plas-tic zone dimensions ahead of the crack are dependent on the damage. No singularity has beenfound for the stress at the crack tip.