基于平均应变能密度准则的裂纹断裂扩展特性分析

考虑裂纹尖端应力场常数项T应力对裂纹断裂特性的影响,对平均应变能密度准则进行修正,建立混合型裂纹扩展条件计算式。在此基础上,系统分析常数项T应力对Ⅰ型、Ⅱ型、Ⅰ-Ⅱ混合型裂纹断裂判据的影响。结果表明,常数项T应力降低了材料裂纹起裂阻力,且参数|Bα|越大裂纹断裂极限值越低,|Bα|相同时,正T应力要比负T应力更容易发生断裂。基于修正平均应变能密度准则,预测双轴疲劳载荷作用下平板表面Ⅰ型裂纹扩展寿命。结果表明,考虑常数项T应力影响后的疲劳裂纹扩展寿命约为传统疲劳裂纹扩展寿命的49%。     

裂纹尖端区的应变和三轴应力

鉴于全塑性解存在的问题,Tian and Gao(2004y1]导出能反映弹性应变的弹塑性裂纹尖端场.本文给出了其三轴应力和应变分布,并给出了相应的有限元数值解.分析表明,高三轴应力引起的高弹性体变形和弹性能是诱发裂纹扩展的主要因素.     

模糊可靠性分析方法在Ⅰ型裂纹不扩展评估中的应用

利用模糊数学及开率理论判断Ⅰ型裂纹不扩展的可靠度,利用Ⅰ型裂纹应力强度因子KI及裂纹扩展门槛值KIC建立裂纹扩展判据,结合模糊数学及概率论分析Ⅰ型裂纹在受力情况下裂纹不扩展的模糊可靠度.     

考虑塑性损伤的船体裂纹板低周疲劳裂纹扩展行为研究

船舶结构的扩展断裂失效往往是低周疲劳破坏和累积递增塑性破坏耦合作用的结果,疲劳裂纹的扩展就是裂纹尖端前缘材料刚度不断降低延展性不断耗失而逐渐分离的结果.基于弹塑性断裂力学理论,文章提出了考虑累积塑性损伤的低周疲劳裂纹扩展速率预测模型.通过低周疲劳裂纹扩展试验拟合出模型相关材料参数并验证预测模型的合理性.通过系列有限元计算对平均应力及应力幅值的影响因素进行了数值分析.该模型的计算结果与已有实验结果基本吻合;对合理预估船体裂纹板的常幅低周疲劳裂纹扩展寿命有重要意义.     

基于SIF均匀化方法的FGM板及FGM圆筒Ⅰ型裂纹尖端应力研究

本文采用工程机械中关键FGM零部件常见结构形式（板、圆筒）作为研究对象,基于FGM裂纹尖端SIF均匀化转换方法,导出FGM结构和相应均匀材料结构之间Ⅰ型裂纹尖端应力比值关系表达式。通过算例,分析了材料组分、裂纹尺寸以及所在位置、构件几何尺寸等因素对FGM结构和相应均匀材料结构裂纹尖端应力比值的影响,揭示了裂纹尖端应力对材料梯度的高度依赖性。     

裂纹尖端塑性区三维有限元分析

裂纹尖端塑性区的大小与其三维约束状态有关,而三维约束状态不仅与板厚还与外载荷、材料性质有关.因此不论是薄板还是厚板,用平面应力或者平面应变来模拟其状态都有局限性.现阶段对于三维约束状态下的裂纹还没有一个公认的可以准确计算塑性区大小的公式.文章用有限元对小范围屈服下,含Ⅰ型中心穿透裂纹板裂纹尖端的三维塑性区进行了研究,分析了硬化指数、屈服强度以及泊松比对塑性区大小的影响.计算从平面应力逐渐过渡到平面应变,结果与现有理论的预测结果进行比较,进而给出了一个计算裂纹尖端塑性区大小的计算公式.     

Ⅰ型裂纹扩展的模糊可靠性分析

根据Ⅰ型裂纹应力强度因子ＫＩ及裂纹扩展门榄值ＫＩＣ，裂纹扩展判据，利用概率及模糊数学的理论，对Ⅰ型裂纹在受力情况下裂纹的不扩展情况进行模糊可靠性分析，给出了对Ⅰ型裂纹不扩展的模糊可靠度计算的一般思路。     

基于累积递增塑性变形的船体裂纹板断裂韧性研究

裂纹尖端张开位移（CTOD）是评估结构材料韧性以及分析低周疲劳破坏引起的裂纹扩展的重要参量。文章结合Dugdale模型,以裂纹尖端累积塑性应变为控制参量,提出了一个循环载荷下含裂纹船体板的CTOD计算模型;利用有限元法模拟了裂纹尖端累积塑性应变、平均应力、裂纹长度等相关因素影响;结合最小二乘法拟合出了基于累积塑性应变、平均应力比以及裂纹长度的两阶多项式。文中基于累积塑性应变的CTOD计算模型为正确评估循环载荷下船体板的累积塑性破坏提供了一种新途径。     

循环载荷下考虑累积塑性影响的含中心穿透裂纹板CTOD研究

裂纹尖端张开位移(CTOD)是评估结构材料韧性以及分析低周疲劳破坏引起的裂纹扩展的重要参量。结合Dugdale模型,以裂纹尖端累积塑性应变为控制参量,提出了一个循环载荷下含裂纹船体板的CTOD计算模型;利用有限元法模拟了裂纹尖端累积塑性应变、平均应力、裂纹长度等相关因素影响;结合最小二乘法拟合出了基于累积塑性塑性应变、平均应力比以及裂纹长度的两阶多项式。研究表明,基于累积塑性应变的CTOD计算模型为正确评估循环载荷下船体板的累积塑性破坏提供了一种新途径。     

一种变幅载荷下疲劳裂纹扩展的预测方法

文章提出了一种基于裂纹尖端弹塑性应力应变关系的预测变幅载荷下疲劳裂纹扩展的方法。该方法通过对裂纹前端过程区单元的弹塑性应力的循环叠加,得到裂纹扩展过程中的应力、应变关系,兼顾了残余应力对裂纹扩展的作用。基于累计损伤理论,同时利用SWT应力应变和寿命的关系,对单元损伤量的循环叠加计算,根据损伤量判断单元破坏。该方法能够清楚地反映过载时裂纹扩展的迟滞效应和低载对裂纹扩展的加速影响,并对变幅载荷下疲劳裂纹的扩展进行良好的评估。     

The asymptotic field of a dynamically growing crack in a viscoelastic materia

A mechanical model of a fracturing viscoelastic material was developed to investigate viscous effects in a dynamically growing crack-tip field. It was shown that in the stable creep-growing phase,elastic deformation and viscous deformation are equally dominant in the near-tip field,and stress and strain have the same singularity,namely,(σ,ε ) ∝ r?1 /( n?1) . The asymptotic solution of separating variables of stress,stain and displacement in the crack-tip field was obtained by asymptotic analysis,and the resulting numerical value of stress and strain in the crack-tip field was obtained by the shooting method and the boundary condition of a mode I crack. Through numerical calculation,it was shown that the near-tip fields are mainly governed by the creep exponent n and Mach number M . When n →∞,the asymptotic solution of a viscoelastic material can be degenerated into that of Freund's elastic-ideally plastic material by analyzing basic equations.     

Asymptotic field of mode Ⅱ dynamic growing crack in visco-elastic material

A mechanical model of visco-elastic material is established in order to investigate viscous effect in dynamic growing crack-tip field of mode Ⅱ. It is shown that in stable creep growing phase, elastic deformation and viscous deformation are equally dominant in the near-tip field, the stress and strain have the same singularity, namely, (σε) ∝r^-1/(n-1). The asymptotic solutions of separatied variables of stress, stain and displacement in crack-tip field are obtained by asymptotic analysis, and the results of numerical value of stress and strain in crack-tip field are obtained by shooting method. Through numerical calculation, it is shown that the near-tip fields are mainly governed by the creep exponent n and Mach number M. By the asymptotic analysis to the crack-tip field, the fracture criterion of mode Ⅱ dynamic growing crack of visco-elastic materials is put forward from the point of view of strain.     

The crack tip fields of Mode Ⅱ stationary growth crack on bimaterial interface

A mechanical model is established for mode Ⅱ interfacial crack static growing along an elastic-elastic power law creeping bimaterial interface. For frictional contact of boundary conditions on crack faces, asymptotic solutions of the stresses and strains of near tip-crack are got. It was shown that in stable creep growing phase, elastic deformation and viscous deformation are equally dominant in the near-tip field, the stress and strain have the same singularity and there is not the oscillatory singularity the field. Through numerical calculation, it is shown that the frictional coefficient η notably influence the crack-tip field.     

Asymptotic analysis of mode I propagating crack-tip field in a creeping material

Adopting an elastic-viscoplastic, the asymptotic problem of mode I propagating crack-tip field is investigated. Various asymptotic solutions resulting from the analysis of crack growing programs are presented. The analysis results show that the quasistatically growing crack solutions are the special case of the dynamic propagating solutions. Therefore these two asymptotic solutions can be unified.     

Asymptotic analysis of mode Ⅰ propagating crack-tip field in a creeping material

0　INTRODUCTIONWeknowthatthemetalmaterialwillbegincreepwhenthetemperatureishigherthan 30 per centoftheirsmeltingpoint.Foraturbine,adieselengine,anaerospacestructureandothermotivepowermechanisms,thematerialsstillworkwhentheirtemperaturesovershootthecreepthresholdval ue.Thecreepdeformationwilloccuratnormaltem peratureforthepolymerstructures(e.g .plasticspipingelements) .Inthecaseofcreepingthefrac tureofthestructureoccursduetocreepfractureandcreepcrackgrowth.Thereforetheresearchonthecrackgro…     

一种基于累积损伤理论和裂纹尖端弹塑性应力场的裂纹扩展预测方法

文章提出了一种预测疲劳寿命的应力循环叠加和损伤循环叠加的双重叠加方法。该方法依据累积损伤理论,通过分析变幅载荷下裂纹尖端的应力场,采用应力循环叠加的方法反映残余应力的影响;同时利用SWT应力应变和寿命的关系,循环叠加裂尖损伤。该方法能够很好地反映过载时裂纹扩展的迟滞效应,适合变幅载荷下疲劳寿命的评估分析。     

动态载荷作用下焊接点线弹性裂纹的弯曲扩展路径的预测(英文)

利用二阶摄动方法研究了动态载荷作用下结构线弹性断裂裂纹的弯曲延伸扩展问题并求解了动态应力强度因子。利用二阶摄动方法研究了动载荷作用下裂纹路径预测时的应力准则与能量准则之间的关系。就均匀物质而言,在二阶摄动分析理论的框架内,两种准则指明了相同的动态裂纹路径。但在具有非均匀断裂韧度的物质中,能量准则优越于应力准则。作为二阶摄动方法的实际运用,研究了焊接结构中动态线弹性裂纹的形态特征和弯曲扩展路径问题,综合考虑了诸如远场动态作用应力、焊接残余应力、局部物质衰变以及不同尺寸的缺陷的存在等因素,绘制出动态载荷作用下退化区域中裂纹弯曲扩展的临界轨迹曲线。     

Towards a unified methodology for the simulation of rupture in collision and grounding of ships

The aim of the work is the definition of a procedure for the numerical simulation of the response of ship structures under accidental loading conditions, which suffer various different modes of failure, such as tension, bending, tearing and crushing and in particular to investigate the effect of material modeling, i.e. material curve and rupture criterion as well as mesh size and strain rate effect on the results. To this end, different material models and simulation techniques were used for the simulation of eighteen indentation tests conducted by different research groups. The simulations were performed using the explicit finite element code ABAQUS 6.10-2. The tests refer to the quasi-static and dynamic transverse and in-plane loading of various thin walled structures which represent parts of a ship structure. Three rupture criteria are incorporated into VUMAT subroutine, which interacts with the explicit finite element code and refers to an isotropic hardening material that follows the J₂ flow theory assuming plane stress conditions, in order to investigate the prediction and propagation of rupture. The focus is on investigating whether it is possible to define a unified methodology, which is appropriate for the simulation of all different tests. Consistency in the numerical results is observed with the use of an equivalent plastic strain criterion, in which formulation a cutoff value for triaxialities below −1/3 is included.     

Dynamic hardening behaviors of various marine structural steels considering dependencies on strain rate and temperature

This paper presents a new formula for prediction of the dynamic hardening effect for various marine structural steels, considering dependencies on the strain rates and temperatures. Dynamic tensile tests are carried out for three kinds of marine steels, 2W50, EH36, and DH36, changing the steel layer in the thickness direction, the strain rates, and temperatures. Considering two thickness layers at the middle and surface, five strain rate levels of 0.001/s, 1/s, 10/s, 100/s, and 200/s, three temperature levels of LT (−40 °C), RT, and HT (200 °C), and two repetitions, the total number of tests is 180. Dynamic hardening is clearly seen at LT and RT regardless of the material type, while dynamic strain aging occurs at HT, leads to negative strain rate sensitivity, and thus elevates the quasi-static flow stress above the dynamic flow stress to a certain strain rate. Dynamic hardening factors (DHFs) are derived as a function of the proof strains of 0.05, 0.10, and 0.15 according to each material type and temperature level. A new formula to determine the material constant D of Cowper–Symonds constitutive equation is developed. The correctness of the proposed formula is verified through comparison with test flow stress curves and reference test data in large plastic strain and high strain rate ranges.     

Fatigue crack growth under mixed mode I + III loading

Mixed mode I + III fatigue crack growth is studied numerically and experimentally by using modified CT specimen. Some parameters such as initial angle and initial length of crack, thickness and load ratios can affect the fatigue behaviors. The crack growth path and surface, crack front length, variations of stress intensity factors, twisting of crack surface and fatigue lives were determined by using Franc3d and compared with experimental data. By increasing angle and length of initial crack, mode I effects decrease while mode III effects increase. Mode II of the fracture is almost negligible for the modified CT specimen.