聚碳酸酯板裂纹顶端的弹塑性研究

本文研究了聚碳酸酯板的延性断裂特征;提出了修正的强化Dugdale条带屈服模型,并用实验-数值计算混合法确定了强化弹塑性材料裂纹顶端附近的应力场参数.实验测定结果与理论等色线,计算的裂纹前沿塑性区长度相符合.由此,验证了所提出的修正强化Dugdale条带屈服模型的合理性.     

考虑应力松驰复合型裂纹顶端塑性区分析

Ｓｈｉｈ［１］应用奇异单元，获得了不考虑应力松驰小范围屈服条件下复合型裂纹尖端塑性区形状。Ｚ．Ｚ．Ｚｕ等［２］采用Ｒｉｃｅ［５］给出的裂纹尖端应力关系式，利用有限元分析获得了不考虑应力松驰下复合型裂纹尖端塑性区，本文基于静力学中内力与外力平衡条件，用线弹性的全场解代替局部解，给出了考虑应力松驰下复合型裂纹尖端塑性区边界方程，获得了考虑应力松驰下的任意方向的塑性区尺寸及塑性区形状     

三维疲劳弹塑性弯曲裂纹塑性区研究

主要研究疲劳载荷作用下的三维弹塑性弯曲裂纹尖端的塑性区问题.用数值解法计算出三维弹塑性弯曲裂纹尖端交变塑性区于裂纹直线部分延长线上的投影长度的最大值和变化幅值,作图分析了三维弹塑性弯曲裂纹尖端交变塑性区尺寸的最大值和变化幅值与三维裂纹体几何尺寸之间的关系.三维弹塑性弯曲裂纹尖端交变塑性区的最大值和变化幅值随着三维裂纹体厚度的增大而减小,随着三维裂纹体厚度的均匀增大,三维弹塑性弯曲裂纹尖端塑性区的最大值和变化幅值不断减小,减小的幅度越来越小,最终趋于平面应变状态下的弹塑性弯曲裂纹尖端塑性区尺寸最大值和变化幅值.当三维裂纹体几何尺寸相同时,三维弯曲裂纹尖端塑性区的最大值和变化幅值随外载荷的不断增大而逐渐增大.建立了一个计算三维弹塑性弯曲裂纹交变塑性区的最大值和变化幅值的崭新理论模型.     

理想塑性介质中平面应力 静止裂纹的尖端弹塑性场

本文详细分析了理想塑性介质中平面应力I型静止裂纹的尖端弹塑性场,结果表明:裂纹尖端应力场内可以不包含应力间断线,但含有弹性区,作为这个一般解的特殊情况,当弹性区被两侧的塑性区挤压消失而尖端场成为满塑性区时,便得到Hutchinson(1968)给出的解,此外,文中还给出了另一种均匀应力区位于裂纹前方的解,这是[1]未曾得到的。     

准静载作用下弹塑性微弯裂纹尖端塑性区

研究了准静载荷作用下的弹塑性弯曲延伸裂纹的塑性区.通过分析,比较精确地确定了弯曲裂纹尖端塑性区域边界上正应力与切应力的分布状态.综合考虑了准静态作用应力,塑性区域边界上正应力与切应力,利用二阶摄动方法,研究分析了弯曲裂纹尖端塑性区域的范围;预测了弹塑性裂纹的扩展路径.     

裂尖曲率对裂纹前缘塑性区的影响

考虑尖端为圆弧形的钝头裂纹模型，在外围取线弹性无裂纹体的解，应用线场分析方法。形成一套估计钝头裂纹前缘塑性区尺寸的方法。对含径向裂纹和圆弧形裂尖的圆盘受均匀张力作用情况，给出了塑性区的裂纹前缘尺寸与裂纹尖端曲率的关系。得到的结论是，塑性区的裂纹前缘尺寸与裂纹尖端曲率有关；对于给定的塑性区的裂纹前缘尺寸，载荷反比于外缘尺寸的平方。前一结论说明了塑性区的裂前尺寸作为裂纹失稳扩展判断的局限性；后一结论说明了裂纹体强度失效的尺寸效应规律：抗断强度与总体线尺寸的平方成反比。     

裂纹起始扩展的弹塑性场

本文分析了裂纹扩展之前Ⅰ、Ⅱ混合型应力应变场演变的自相似性,并采用理想弹塑性模型给出了自相似解基本方程及边界条件.对v=1/2情况给出了尖端附近小范围应力应变的渐近解,同时讨论了满塑性区的存在条件.     

拉载下周向壁穿裂纹圆柱壳的弹塑性解析解

基于薄壳理论及Ｄｕｇｄａｌｅ模型,建立了一套相当完整的拉载下周向壁穿裂纹圆柱壳的弹塑性解析解．该解包括裂纹扩展并可应用至裂纹断面完全塑性     

三维冲击荷载弹塑性弯曲裂纹张开位移

主要研究冲击载荷作用下的三维弹塑性弯曲裂纹尖端的张开位移问题．综合考虑了冲击作用应力,三维塑性区域边界上正应力与剪应力,利用二阶摄动方法计算了三维弹塑性弯曲裂纹尖端的张开位移．用数值解法计算出三维弹塑性弯曲裂纹尖端张开位移,作图分析了三维弹塑性弯曲裂纹尖端张开位移与三维裂纹体几何尺寸之间的变化关系．三维弹塑性弯曲裂纹尖端张开位移随着三维裂纹体厚度的增大而减小,随着三维裂纹体厚度的均匀增大,三维弹塑性弯曲裂纹尖端张开位移尺寸不断减小,减小的幅度越来越小,最终趋于平面应变状态下的弹塑性弯曲裂纹尖端张开位移尺寸．当三维裂纹体几何尺寸相同时,三维弯曲裂纹尖端动态张开位移随外部冲击载荷的不断增大而逐渐增大,三维弯曲裂纹尖端动态张开位移随动荷系数的增大而迅速增大,建立了一个计算三维弹塑性弯曲裂纹尖端动态张开位移的崭新理论模型．     

中心小裂纹的弹塑性分析

用修正能量法得到含中心小裂纹平板在均匀载荷作用下的J积分和张开位移的全塑性解。并用弹塑性分析的工程方法得到相应的弹塑性解。结果与无限大板的解作了比校,表明当a/b≤0.05时两者的差别小于5％。而对于a/b>0.05的情况,把无限大板的解用于中心小裂纹的板条可能会产生较大的误差。     

Elastoplastic solution for an eccentric crack loaded by two pairs of point tensile forces

The strain energy density theory and the near crack line analysis method are applied to investigate an eccentric crack loaded by two pairs of tensile point forces in a finite plate. The minimum values of SED in the vicinity of the crack tip are determined, the initial growth orientation of crack are determined. Obtained is the elastic-plastic solution near the crack line of an eccentric crack loaded by two pairs of point tensile forces under large scale yielding condition. More specifically, the near field solution contains the unit normal vector of the elastic-plastic boundary and the elastic-plastic stress field. The length of the plastic zone along the crack line is found to vary with the external load and the bearing capacity of a finite plate with an eccentric crack loaded by two pairs of tensile point forces. Compared with small scale yielding condition, the normalized load obtained is higher than those under small scale yielding condition when the length of the plastic zone is the same.     

Elastoplasticity of crack loaded by two pairs of isolated shear forces in finite width plate

The failure behavior of an elastic-perfectly plastic body with a crack loaded by two pairs of concentrated shear forces is discussed. The analytical solutions of an eccentric crack in a finite plate loaded by two pairs of point shear forces are obtained. It includes the unit normal vector of the elastic-plastic boundary near the crack line, the elastic-plastic stress fields near crack line and the law of the plastic zone along the crack line with external loads. The solutions of this paper are sufficiently precise near the crack line in elastic-perfectly plastic materials. Subsequently, the present results are compared with solutions based on the minimum strain energy density theory and elastic-plastic solutions under small scale yielding condition. On the basis of the minimum strain energy density (SED) theory, the minimum values of SED in the vicinity of the crack tip are determined, the initial growth orientation of crack are determined. It is found that the normalized load under large scale yielding condition is higher than those under small scale yielding condition when the length of the plastic zone is the same.     

Elastic-plastic analytical solutions for an eccentric crack loaded by two pairs of anti-plane point forces

IntroductionTheelastic_plasticanalysisforacrackedplatewithfinitedimensionsisoneofthemostdifficultfieldsofelastic_plasticmechanics .Thenearcracklineanalysismethod ,whichwasfirstproposedbyAchenbachetal.[1,2 ] ,hasbeenimprovedbyYiinRefs.[3,4 ].InRefs.[3,4 ],…     

Elastic–plastic near field solution of an eccentric crack under shear in a finite width plate

The near crack line analysis method is used to investigate an eccentric crack loaded by shear forces in a finite width plate, and the analytical solution is obtained in this paper. The solution includes: the unit normal vector of the elastic–plastic boundary near the crack line, the elastic–plastic stress fields near crack line, variations of the length of the plastic zone along the crack line with an external loads, and the bearing capacity of a finite plate with a centric crack loaded by shear stress in the far field. The results obtained in this paper are sufficiently precise near the crack line because the assumptions of small scale yielding theory have not been made and no other assumptions have been taken. Subsequently, the present results are compared with the traditional line elastic fracture mechanical solutions and elastoplastic near field solutions under small scale yielding condition. On the basis of the minimum strain energy density (SED) theory, the minimum values of SED in the vicinity of the crack tip are determined, the initial growth orientation of crack are determined. It is found that the normalized load under large scale yielding condition is higher than those under small scale yielding condition when the length of the plastic zone is the same.     

Near crack line elastic–plastic analysis for a infinite plate loaded by two pairs of point tensile forces

The near crack line analysis method is used to investigate a center crack loaded by two pairs of point tensile forces in an infinite plate in an elastic–perfectly plastic solid, and the analytical solutions are obtained in this paper. These solutions include: the elastic–plastic stress field near the crack line, the law that the length of the plastic zone along the crack line is varied with an external loads and the bearing capacity of an infinite plate with a center crack. The results of this paper are sufficiently precise near the crack line because the assumptions of the small scale yielding theory have not been used and no other assumptions have been taken.     

Near crack line elastic-plastic analysis for a finite plate loaded by two pairs of antiplane point forces

I.IntroductionThenearcracklineanalysismethodhasbeengreatlyimprovedbyYill'2].In[l,21,theimprovednearcracklineanalysismethodhasbeenusedtoinvestigateamodeIllcrackinanelastic-perfectlyplasticsolid.Andthesmallscaleyieldingconditionshavebeencompletelyabandoned,andcompletelynewandprecisesolutionsoftheelastic-plasticfieldsofamodeillstationarycrackandamodelillquasi-staticallygrowingcrackwithremotealltiplaneshearinginanelastic-perfectlyplastic'materialhavebeenobtained,respectively.In[3]weanalyzedthene…     

NEAR CRACK LINE ELASTIC－PLASTIC ANALYSIS FOR A CRACK LOADED BY ANTIPLANE POINT FORCES

ＮＥＡＲ　ＣＲＡＣＫ　ＬＩＮＥ　ＥＬＡＳＴＩＣ－ＰＬＡＳＴＩＣ　ＡＮＡＬＹＳＩＳ　ＦＯＲ　Ａ　ＣＲＡＣＫ　ＬＯＡＤＥＤ　ＢＹ　ＡＮＴＩＰＬＡＮＥ　ＰＯＩＮＴ　ＦＯＲＣＥＳＷｕＣｈｅｎｇｐｉｎｇ（吴承平）；ＷａｎｇＣｈｅｎｇ（王成）（ＲｅｃｅｉｖｅｄＳ...     

Elastic-plastic analysis of antiplane crack near crack surface region

The elastic-plastic stress distribution and the elastic-plastic boundary con- figuration near a crack surface region are significant but hard to obtain by means of the conventional analysis. A crack line analysis method is developed in this paper by consid- ering the crack surface as an extension of the crack line. The stresses in the plastic zone, the length, and the unit normal vector of the elastic-plastic boundary near a crack surface region are obtained for an antiplane crack in an elastic-perfectly plastic solid. The usual small scale yielding assumptions are not needed in the analysis.     

GENERAL FORM OF MATCHING EQUATION OF ELASTIC-PLASTIC FIELD NEAR CRACK LINE FOR MODEⅠCRACK UNDER PLANE STRESS CONDITION

Crack line field analysis method has become an independent method for crack elastic-plastic analysis, which greatly simplifies the complexity of crack elastic-plastic problems and overcomes the corresponding mathematical difficulty. With this method, the precise elastic-plastic solutions near crack lines for variety of crack problems can be obtained. But up to now all solutions obtained by this method were for different concrete problems, no general steps and no general form of matching equations near crack line are given out. With crack line analysis method, this paper proposes the general steps of elastic-plastic analysis near crack line for mode Ⅰ crack in elastic-perfectly plastic solids under plane stress condition, and in turn given out the solving process and result for a specific problem.     

EXACT SOLUTIONS OF NEAR CRACK LINE FIELDS FOR MODE I CRACK UNDER PLANE STRESS CONDITION IN AN ELASTIC－PERFECTLY PLASTIC SOLID

ＥＸＡＣＴＳＯＬＵＴＩＯＮＳＯＦＮＥＡＲＣＲＡＣＫＬＩＮＥＦＩＥＬＤＳＦＯＲＭＯＤＥＩＣＲＡＣＫＵＮＤＥＲＰＬＡＮＥＳＴＲＥＳＳＣＯＮＤＩＴＩＯＮＩＮＡＮＥＬＡＳＴＩＣ－ＰＥＲＦＥＣＴＬＹＰＬＡＳＴＩＣＳＯＬＩＤＥＸＡＣＴＳＯＬＵＴＩＯＮＳＯＦＮＥＡ...