理想正交各向异性弹塑性材料平面应力条件下Ⅰ型静止裂纹尖端场

在本文中,以 Hill 的塑性理论为基础,详细地讨论了理想正交各向异性弹塑性材料,平面应力条件下Ⅰ型静止裂纹尖端场解。裂纹尖端应力场不包含应力间断线,但包含弹性区。分析的结果表明(i)对于平面应力静止裂纹问题,应力场解不是唯一的,场解中的自由参数必须由远场条件来确定。(ii)裂纹尖端的应力、应变的奇异性,无论是各向异性材料还是各向同性材料,都是相同的。但在各向异性材料中,各向异性参数影响着应力、应变的幅度和分布。

THE NEAR-TIP FIELDS FOR A PLANE STRESS MODE Ⅰ STATIONARY CRACK IN AN ELASTIC-PERFECTLY ORTHOTROPIC PLASTIC MATERIAL

In this paper, based on a phenmenological plasticity theory for orthotropicmaterial proposed by Hill, the near-tip field solution for a plane stress mode-Ⅰ stationary crack in an elastic-perfectly orthotropic plastic material is discussed in detail. There is not any discontinuous line of stress and solutions are not unique for problem of plane stress stationary crack in an elastoplastic medium with pastic orthortopy. It is found that the order of singularity of the stresses and strains in the vicinity of th...