理想正交各向异性弹塑性材料Ⅰ型动态扩展裂纹尖端的渐近场

Mode I Dynamic Field Near a Crack Tip Growing in an Elastic-Perfectly-Orthotropic Plastic Solid

采用Hill的弹塑性理论,给出了理想正交各向异性弹塑性材料平面应变条件下Ⅰ型动态扩展裂纹尖端的渐近场。在场解中,物理量是连续的,应力和应变是有限值,不存在弹性卸载区。通过数值计算讨论了正交各向异性系数以及Mach数对场分布和幅度的影响。

Using a phcnomenological clasto plastic theory proposed by Hill, an asymptotic solution is given for Mode Ⅰ dynamic field in the neighborhood of the tip of a steadily advancing crack in an incompressible elastic-perfectly-orthotropic plastic solid under the plane strain condition. It is shown that the field is continuous and strains are finite. There is no unloading region in the field. Through numerical calculation it is seen that the distribution of the field and the amplitude of the field's quantity are greatly influenced by the plastic orthotropy and Mach number.