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首页> 外文期刊>Journal of the Mechanics and Physics of Solids >Constraint effects on crack-tip fields in elastic- perfectly plastic materials
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Constraint effects on crack-tip fields in elastic- perfectly plastic materials

机译：弹性完美塑性材料对裂纹尖端场的约束效应

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Asymptotic crack-tip stress fields accounting for constraint effects are developed for a stationary plane strain crack under mode-I, mode-II or mixed-mode I/II loading. The mixed- mode loading is considered only within small-scale yielding. Materials are taken into account in incompressible, elastic-perfectly plastic materials, and plastic defOrmation of materials obeys von Mises yield criterion. This investigation is an extension of the solution obtained by Li and Hancock [Li, J., Hancock, J.W., 1999. Mode I and mixed mode fields with incomplete crack tip plasticity. International Journal of Solids and Structures 36 (5), 711--725] with special attention on what constraint parameters existed in the elastic-plastic crack-tip fields. Results indicate that the asymptotic crack-tip field is a 4-sector solution for mode-I cracks and a 6-sector solution for mixed--mode cracks, and is comprised of plastic sectors and elastic sector(s), and contain two undetermined parameters T_p and T_π which are hydrostatic stresses ahead of the crack tip and on the crack flank, respectively. When T_p and T_π vanish, the present elastic-plastic crack-tip field reduces to the fully plastic Prandtl slip-line field. Comparison shows that the asymptotic crack-tip stress fields can precisely match with elastic--plastic finite element results over all angles around a crack tip for various fracture specimens with constraint levels from high to low. The magnitudes of T_p and T_π determine the level of crack-tip constraint in plastic sectors and in elastic sector, respectively, due to geometric and loading configurations or mode mixity. Thus the parameters T_p and T_π can be used as constraint parameters to effec- tively characterize the entire crack-tip field in elastic-perfectly plastic materials under the plane strain conditions.
机译：针对I型，II型或I / II型混合载荷下的平稳平面应变裂纹，建立了考虑约束效应的渐近裂纹尖端应力场。仅在小规模屈服范围内才考虑混合模式加载。在不可压缩的，弹性完美的塑性材料中考虑了材料，并且材料的塑性变形符合冯·米塞斯（von Mises）屈服准则。这项研究是对Li和Hancock [Li，J.，Hancock，J.W.，1999.模I和混合模场具有不完全的裂纹尖端塑性的解决方案的扩展。国际固体与结构学报36（5），711--725]特别注意弹塑性裂纹尖端场中存在哪些约束参数。结果表明，渐近裂纹尖端场是I型裂纹的4扇形解和M型混合裂纹的6扇形解，由塑性扇形体和弹性扇形体组成，并且包含两个不确定的区域参数T_p和T_π分别是裂纹尖端之前和裂纹侧面的静水压力。当T_p和T_π消失时，当前的弹塑性裂纹尖端场减小为完全塑性的Prandtl滑移线场。比较表明，对于各种约束水平从高到低的裂纹，渐进裂纹尖端应力场可以在裂纹尖端周围所有角度与弹塑性有限元结果精确匹配。 T_p和T_π的大小分别决定了塑料扇区和弹性扇区中的裂纹尖端约束级别，这是由于几何和载荷配置或模式混合引起的。因此，可以将参数T_p和T_π用作约束参数，以有效地表征平面应变条件下的弹性完全塑性材料中的整个裂纹尖端场。

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