CONDITIONS FOR LOCALIZATION OF DEFORMATION IN PRESSURE-SENSITIVE DILATANT MATERIALS
CONDITIONS FOR LOCALIZATION OF DEFORMATION IN PRESSURE-SENSITIVE DILATANT MATERIALS
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DOI：
10.1016/0022-5096(75)90001-0
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发表时间：
1975-01-01
影响因子：
5.3
通讯作者：
RICE, JR
中科院分区：
文献类型：
--
作者：
RUDNICKI, JW;RICE, JR
本文研究了在均匀变形的本构描述中，变形局部化到剪切带中可能被认为是不稳定的结果这一假设。分叉的一般条件，对应于本地化的变形成一个平面带，推导出。虽然分析是一般性的，并注意到其他本地化现象的应用，本构关系，在本地化的标准的应用程序中检查的目的是在压缩主应力下的脆性岩体的行为建模。这些关系是强烈的压力敏感性，因为非弹性的结果，从摩擦滑动的裂缝阵列，所产生的非弹性响应是diluant，由于隆起的滑动在凹凸和局部拉伸裂缝尖端开裂。合适的本构描述涉及塑性应变增量对屈服超曲面的非正态性。此外，有人认为，随后的屈服面将开发一个顶点状结构。这两个功能被证明是不稳定的，并强烈影响所产生的预测本地化相比，预测基于经典的塑性理想化，涉及正常和光滑的屈服面。这些结果似乎广泛适用于讨论的开始破裂作为一个本构不稳定性。
This paperinvestigates the hypothesis that localization of deformation into a shear band may be considered a result of an instability in the constitutive description of homogeneous deformation. General conditions for a bifurcation, corresponding to the localization of deformation into a planar band, are derived. Although the analysis is general and applications to other localization phenomena are noted, the constitutive relations which are examined in application of the criterion for localization are intended to model the behavior of brittle rock masses under compressive principal stresses. These relations are strongly pressure-sensitive since inelasticity results from frictional sliding on an array of fissures; the resulting inelastic response is dilatant, owing to uplift in sliding at asperities and to local tensile cracking from fissure tips. The appropriate constitutive descriptions involve non-normality of plastic strain increments to the yield hyper-surface. Also, it is argued that the subsequent yield surfaces will develop a vertex-like structure. Both of these features are shown to be destabilizing and to strongly influence the resulting predictions for localization by comparison to predictions based on classical plasticity idealizations, involving normality and smooth yield surfaces. These results seem widely applicable to discussions of the inception of rupture as a constitutive instability.