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理想正交各向异性弹塑性材料平面应变条件下静止裂纹尖端场
引用本文:唐立强 黄克智. 理想正交各向异性弹塑性材料平面应变条件下静止裂纹尖端场[J]. 应用力学学报, 1993, 10(1): 26-33
作者姓名:唐立强 黄克智
作者单位:哈尔滨船舶工程学院,清华大学 哈尔滨 150001,北京 100084
基金项目:国家自然科学基金,博士后基金
摘    要:以Hill唯象理论为基础,建立正交各向异性弹塑性材料的本构关系,给出理想正交各向异性弹塑性材料在平面应变条件下混合型静止裂纹尖端的弹塑性场.与J.Pan的解不同,采用自相似假定,可以用解析方法求得不存在应力间断的应力场.对满塑性区条件和应变的奇异性加以讨论,这些为建立断裂准则提供了理论的依据.

关 键 词:弹塑性 各向异性 材料力学 裂纹

The Near-tip Fields for Plane Strain Stationary Crack in an Elastoplastic Material with Plastic Orthotropy
Tang Liqiang. The Near-tip Fields for Plane Strain Stationary Crack in an Elastoplastic Material with Plastic Orthotropy[J]. Chinese Journal of Applied Mechanics, 1993, 10(1): 26-33
Authors:Tang Liqiang
Affiliation:Tang Liqiang(Harbin Shipbuilding Engineering) Hwang Kehchih (Tsinghua University)
Abstract:In this paper, in view of a phenomenological plasticity theory for orthotropic material proposed by Hill, the history-dependent constitutive relation for plane strain case is obtained. The asymptotic solution of the plane strain mixed mode stationary crack problem in an elastoplastic material with plas(?)tic orthotropy is reconsidered. There are no discontinuous lines in stress field, which is different from J. Pan' s results. The conditions of existing full plasticity and singularity of strain are discussed. Reasonable fracture criteria can be established according to these reliable theoretical results.
Keywords:near-tip fields  elasto-perfectly plastic medium with plastic orthotropy  plane strain  mixed made crack
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