A DAMAGE MECHANICS MODEL FOR FATIGUE LIFE PREDICTION OF FIBER REINFORCED POLYMER COMPOSITE LAMINA

A damage mechanics fatigue life prediction model for the fiber reinforced polymer lamina is established. The stiffness matrix of the lamina is derived by elastic constants of fiber and matrix. Two independent damage degrees of fiber and matrix are introduced to establish constitutive relations with damage. The damage driving forces and damage evolution equations for fiber and matrix are derived respectively. Fatigue tests on 0°and 90°unidirectional laminates are conducted respectively to identify parameters in damage evolution equations of fiber and matrix. The failure criterion of the lamina is presented. Finally, the life prediction model for lamina is proposed.     

Damage Signature of Fatigued Fabric Reinforced Plastics in the Pulsed Ultrasonic Polar Scan

This study investigates the use of both the amplitude and time-of-flight based pulsed ultrasonic polar scan (P-UPS) for the nondestructive detection and evaluation of fatigue damage in fabric reinforced composites. Several thermoplastic carbon fabric reinforced PPS specimens (CETEX), loaded under various fatigue conditions, have been scanned at multiple material spots according to the P-UPS technique in order to extract material degradation in a quantitative way. The P-UPS results indicate that shear dominated fatigued carbon/PPS goes with a reduction of shear properties combined with large fiber distortions. The P-UPS results of the tension-tension fatigued carbon/PPS samples on the other hand reveal a directional degradation of the stiffness properties, reaching a maximum reduction of ?12.8 % along the loading direction. The P-UPS extracted damage characteristics are fully supported by simulations, conventional destructive tests as well as visual inspection. The results demonstrate the excellent capability of the P-UPS method for nondestructively assessing and quantifying both shear-dominated and tension-tension fatigue damage in fabric reinforced plastics.     

基于CT扫描的环氧树脂基混凝土裂缝观测与冲击损伤演化研究

环氧树脂基混凝土是一种新型路面铺装材料。本文估算了道路使用过程发生"跳车"现象时货车车轮对路面产生的冲击荷载,根据计算结果,利用落锤冲击试验机对含有不同程度初始损伤的环氧树脂基混凝土试件进行多次冲击试验,研究其冲击疲劳现象。为了准确描述环氧树脂基混凝土的初始损伤,采用CT(计算机断层)扫描技术重构了试件的立体图像,对其中的内部裂缝进行了统计,建立了初始损伤裂缝体积占试件体积的百分比与基于材料弹性模量衰减的损伤变量之间的关系。通过追踪经受一定次数冲击后试件的弹性模量,分析了不同程度初始损伤下环氧树脂基混凝土的冲击损伤随冲击次数的变化规律;结合多次冲击荷载下环氧树脂基混凝土弹性模量的衰减,研究了初始损伤对环氧树脂基混凝土冲击疲劳过程中损伤演化规律的影响。     

基于局域分析的疲劳短裂纹群体演化随机模型

采用局域裂纹数密度描述金属材料中不同局部区域的疲劳短裂纹群体损伤的发展情况通过考虑在不同局域存在的材料性质的随机涨落及局部损伤对损伤总量发展的影响，建立了局域裂纹数密度演化随机方程对方程数值求解从而模拟了材料的疲劳短裂纹损伤过程结果显示出主裂纹出现的随机性，并讨论了裂纹总数与最大裂纹尺度在统计意义上的演化特征     

高聚物牺牲包层对钢筋混凝土板的爆炸毁伤缓解效应

为研究高聚物牺牲包层对钢筋混凝土结构的爆炸毁伤缓解效应,开展了带高聚物牺牲包层钢筋混凝土板的接触爆炸试验,同时设置了普通钢筋混凝土板作为对照组,对比分析了高聚物牺牲包层对钢筋混凝土板毁伤特征的影响。此外,运用AUTODYN软件建立了现场爆炸试验的SPH-FEM耦合模型,通过与试验结果的对比,验证了所建耦合模型的可靠性。在此基础上,通过参数敏感性分析,探究了炸药量和高聚物牺牲包层密度、厚度对带高聚物牺牲包层钢筋混凝土板毁伤特性以及吸能特性的影响。结果表明：接触爆炸下,高聚物牺牲包层能够有效地分散爆炸荷载,缓解爆炸荷载对钢筋混凝土板的冲击作用,具有良好的防护性能;药量在一定范围内增大时,高聚物牺牲包层依然能维持较高的吸能水平,增大包层密度和厚度有利于增强高聚物牺牲包层的吸能特性,包层厚度的变化会造成被保护钢筋混凝土板毁伤模式的改变。     

接触爆炸作用下高聚物复合板毁伤特性分析

高聚物材料具有成型快和膨胀性能好的特点,该材料与碎石和钢筋的复合结构应用于地基处理和城市道路脱空除险加固,具有明显优势。本文中,设计并制作了高聚物碎石板和钢筋高聚物板,开展了接触爆炸冲击下的试验研究,通过毁伤尺寸和所测冲击波数据探讨了2种板的毁伤特性。基于ANSYS/AUTODYN非线性显式有限元程序,建立了试验中毁伤更严重的钢筋高聚物板的接触爆炸全耦合模型,并通过与试验结果的对比,验证了所建耦合模型的准确性和适用性。参数化分析了钢筋高聚物板对炸药量和板厚的敏感性,并利用多参数非线性回归分析方法,提出了钢筋高聚物板迎爆面和背爆面破坏直径的预测公式。结果表明：接触爆炸作用下,高聚物碎石板的毁伤模式以接触部位的局部震塌冲切破坏为主,除此之还有一些毁伤裂纹;钢筋高聚物板的破坏模式主要是迎爆面爆坑毁伤、背爆面剥落损伤和中心冲切贯穿破坏。高聚物碎石板和钢筋高聚物板对爆炸冲击波都具有良好的衰减作用,有望应用到抗爆炸冲击防护领域。     

A periodic unit-cell simulation of fiber arrangement dependence on the transverse tensile failure in unidirectional carbon fiber reinforced composites

The effect of fiber arrangement on transverse tensile failure in unidirectional carbon fiber reinforced composites with a strong fiber-matrix interface was studied using a unit-cell model that includes a continuum damage mechanics model. The simulated results indicated that tensile strength is lower when neighboring fibers are arrayed parallel to the loading direction than with other fiber arrangements. A shear band occurs between neighboring fibers, and the damage in the matrix propagates around the shear band when the interfacial normal stress (INS) is sufficiently high. Moreover, based on the observation of Hobbiebrunken et al., we reproduced the damage process in actual composites with a nonuniform fiber arrangement. The simulated results clarified that the region where neighboring fibers are arrayed parallel to the loading direction becomes the origin of the transverse failure in the composites. The cracking sites observed in the simulation are consistent with experimental results. Therefore, the matrix damage in the region where the fiber is arrayed parallel to the loading direction is a key factor in understanding transverse failure in unidirectional carbon fiber reinforced composites with a strong fiber/matrix interface.     

随机载荷作用下结构疲劳损伤的累积

本文提出了一种计算在随机载荷作用下具有随机疲劳强度的结构的累积疲劳损伤与疲劳寿命的概率密度函数及可靠性函数的方法.对在平稳窄带高斯随机应力作用下的金属与钢筋混凝土构件,给出了上述函数的解析表达式.数例计算表明,理论结果与数字模拟结果颇为吻合.     

Investigation of the Effects of Environmental Fatigue on the Mechanical Properties of GFRP Composite Constituents Using Nanoindentation

Background

Fatigue failure criteria for fibre reinforced polymer composites used in the design of marine structures are based on the micromechanical behaviour (e.g. stiffness properties) of their constituents. In the literature, there is a lack of information regarding the stiffness degradation of fibres, polymer matrix and fibre/matrix interface regions affected by environmental fatigue.

Objective

The aim of present study is to characterize the stiffness properties of composite constituents using the nanoindentation technique when fatigue failure of composites is due to the combined effect of sea water exposure and cyclic mechanical loads.

Methods

In the present study, the nanoindentation technique was used to characterize the stiffness properties of composite constituents where the effects of neighbouring phases, material pile up and viscoplasticity properties of the polymer matrix are corrected by finite element simulation.

Results

The use of finite element simulation in conjunction with nanoindentation test data, results in more accurate estimation of projected indented area which is required for measuring the properties of composite constituents. In addition, finite element simulation provides a greater understanding of the stress transfer between composite constituents during the nanoindentation process.

Conclusions

Results of nanoindentation testing on the composite microstructure of environmentally fatigue failed composite test coupons establish a strong link to the stiffness degradation of the fiber/matrix interface regions, verifying the degradation of composite constituents identified by scanning electron microscopy (SEM) and energy dispersive X-ray spectroscopy (EDX) analysis.

     

Cyclic viscoelastoplasticity and low-cycle fatigue of polymer composites

Observations are reported on a polymer composite (polyamide-6 reinforced with short glass fibers) in tensile relaxation tests with various strains, tensile creep tests with various stresses, and cyclic tests with a stress-controlled program (ratcheting with a fixed maximum stress and various minimum stresses). Constitutive equations are developed in cyclic viscoelastoplasticity of polymer composites. Adjustable parameters in the stress–strain relations are found by fitting observations in relaxation tests and cyclic tests (16 cycles of loading–unloading). It is demonstrated that the model correctly predicts experimental data in creep tests and dependencies of maximum and minimum strains per cycle on number of cycles up to fatigue fracture of specimens. The influence of strain rate and minimum stress on number of cycles to failure is studied numerically.     

基于粘聚力理论的CFRP加固钢板剥离机理研究

碳纤维增强复合材料（CFRP）加固钢板时,CFRP端部往往会发生剥离破坏而导致失效,文中重点研究了CFRP加固钢板的机理。首先根据粘聚力理论建立了CFRP加固钢板的有限元模型;然后对CFRP加固钢板进行了静态拉伸试验研究,并利用试验数据验证了有限元模型;最后基于有限元模型对CFRP剥离破坏进行了机理研究。分析结果表明：采用粘聚力理论建立的有限元模型可以准确模拟胶层剥离机理;胶层剪应力是胶层剥离破坏主要因素,整个过程经历了弹性变形、胶层软化和胶层剥离三个阶段;胶层剥离破坏从CFRP端部开始,逐渐向中间发展,最终导致胶层完全失效。     

Stress intensity factors for glass-fiber reinforced plastics with an infinite row of parallel cracks at low temperatures

Stress intensity factors are determined for glass-fiber reinforced plastics with an infinite row of parallel cracks at low temperatures under tension. A state of generalized plane strain is assumed. The thermal and mechanical properties as functions of temperature are obtained from the experimental data. Fourier transforms are used to reduce the problem to the solution of a pair of dual integral equations. The solution of the dual integral equations is then expressed in terms of a Fredholm integral equation of the second kind. Numerical calculations are carried out, and the stress intensity factors at different temperatures are shown graphically.     

Statistical Assessment of Tensile Static,Creep and Fatigue Strengths for Unidirectional CFRP

Background

The tensile strength along the longitudinal direction of unidirectional carbon fiber reinforced plastics (CFRPs) constitutes important data for the reliable design of CFRP structures. Our earlier reports proposed the formulations for the statistical static, creep, and fatigue strengths of CFRP based on Christensen’s model of the viscoelastic crack kinetics.

Objective

This study is concerned with the statistical assessment of the tensile static, creep, and fatigue strengths of unidirectional CFRPs by using the proposed formulations and the characterization of the long-term strengths of unidirectional CFRPs.

Method

First, the proposed formulations for the time-dependent and temperature-dependent statistical static, creep, and fatigue strengths of CFRP are introduced. Second, the tensile static, creep and fatigue strengths of unidirectional CFRP are measured statistically at various temperatures using resin-impregnated CFRP strands as tensile test specimens by measuring the viscoelasticity of the matrix resin. Finally, the master curves showing the long-term life of these strengths are constructed by substituting these measured data into the formulations.

Results

The results clarify that the formulations are applicable with high reliability over wide ranges of time and temperature for the statistical tensile static, creep and fatigue strengths of unidirectional CFRP except above the glass transition temperature of the matrix resin. Therefore, the fatigue strength degradation phenomena of unidirectional CFRPs can be expressed by the time- and temperature-dependent part due to the viscoelastic behavior of the matrix resin and the number of load cycle-dependent parts.

Conclusions

The long-term life prediction of unidirectional CFRPs under static, creep and fatigue tension loadings can be determined by ascertaining the mechanical properties of the CFRP and matrix resin in the proposed formulations.

     

A stochastic theory of cumulative fatigue damage

A stochastic theory for the cumulative fatigue damage of structural components with random fatigue strength under random loading is proposed on the basis of Stratonovich-Khasminskii theorem. The analytical solutions for the probability densities of the cumulative fatigue damage and fatigue life and for the reliability function are given for steel and reinforced concrete components with constant fatigue strength subject to a narrow band stationary Gaussian stress process with zero mean. The results agree very well with those of digital simulation. It is noted that the theory can be applied, in principle, to both metallic and non-metallic materials, narrow band and wide band stress process, and adapted to a sequence ofn, stationary stress processes or quasi-stationary stress process. The scatter and degradation of fatigue strength and the inspection maintenance can also be incorporated into the theory.     

基于微-细观机理的混凝土疲劳损伤本构模型

该文致力于混凝土疲劳损伤发展机理的微细观解释. 以速率过程理论为基础,通过考虑裂纹断裂过程区中的水分子动力作用,在细观尺度上建立了具有物理机理的疲劳损伤能量耗散表达式. 结合细观随机断裂模型,以宏观损伤力学为框架,建立了疲劳损伤演化方程. 通过数值模拟,计算了单轴受拉时的疲劳损伤演化以及不同加载幅度下的疲劳寿命. 与相关试验结果的对比显示出该文模型能够很好地表现混凝土材料的疲劳损伤演化过程.      

THE FATIGUE CONSTITUTIVE MODEL OF CONCRETE BASED ON MICRO-MESO MECHANICS

该文致力于混凝土疲劳损伤发展机理的微细观解释. 以速率过程理论为基础,通过考虑裂纹断裂过程区中的水分子动力作用,在细观尺度上建立了具有物理机理的疲劳损伤能量耗散表达式. 结合细观随机断裂模型,以宏观损伤力学为框架,建立了疲劳损伤演化方程. 通过数值模拟,计算了单轴受拉时的疲劳损伤演化以及不同加载幅度下的疲劳寿命. 与相关试验结果的对比显示出该文模型能够很好地表现混凝土材料的疲劳损伤演化过程.     

3D FINITE ELEMENT ANALYSIS OF THE DAMAGE EFFECTS ON THE DENTAL COMPOSITE SUBJECT TO WATER SORPTION

The damage effects of water sorption on the mechanical properties of the hydroxya-patite particle reinforced Bis-GMA/TEGDMA copolymer (HA/Bis-GMA/TEGDMA) have been predicted using 3D finite cell models. The plasticizer effect on the polymer matrix was considered as a variation of its Young's modulus. Three different cell models were used to determine the influence of varying particle contents, interphase strength and moisture concentration on the debonding damage. The stress distribution pattern has been examined and the stress transfer mode clarified. The Young's modulus and fracture strength of the Bis-GMA/TEGDMA composite were also predicted using the model with and without consideration of the damage. The former results with consideration of the debonding damage are in good agreement with existing literature experimental data. The shielding effect of our proposed model and an alternative approach were discussed. The FCC cell model has also been extended to predict the critical load for the damaged and the undamaged composite subject to the 3-point flexural test.     

A coupled damage-plasticity model for the cyclic behavior of shear-loaded interfaces

The present work proposes a novel thermodynamically consistent model for the behavior of interfaces under shear (i.e. mode-II) cyclic loading conditions. The interface behavior is defined coupling damage and plasticity. The admissible states’ domain is formulated restricting the tangential interface stress to non-negative values, which makes the model suitable e.g. for interfaces with thin adherends. Linear softening is assumed so as to reproduce, under monotonic conditions, a bilinear mode-II interface law. Two damage variables govern respectively the loss of strength and of stiffness of the interface. The proposed model needs the evaluation of only four independent parameters, i.e. three defining the monotonic mode-II interface law, and one ruling the fatigue behavior. This limited number of parameters and their clear physical meaning facilitate experimental calibration. Model predictions are compared with experimental results on fiber reinforced polymer sheets externally bonded to concrete involving different load histories, and an excellent agreement is obtained.     

碳纤维增强树脂基复合材料压缩失效机理研究

为分析基体性质和纤维铺设方式对碳纤维树脂基复合材料(CFRP)压缩性能的影响,设计两种基体（耐高温环氧树脂基体和PA6 基体） 和两种碳纤维铺设方式[[45/0/-45/90]s和[45/-45]2s],共4 类盒型碳纤维试件．采用轴向压缩实验,研究低应变速率下碳纤维复合材料的极限载荷、压缩量和刚度等力学性能．研究表明试件的失效形式主要由基体性质决定,损伤区域及裂纹方向主要由碳纤维铺设方式决定．利用X射线显微镜(XRM)对试件典型的损伤区域进行三维扫描,并对扫描图像进行重构与渲染,获得破坏区域的内部损伤细节．根据损伤扫描结果,得到材料内部的损伤类型及破坏程度．归纳所获得的损伤测试特征,分析不同类型试件压缩时的损伤规律与失效机理．     

纤维/金属网增强层板低速冲击损伤机理和演化

本文首先通过落锤低速冲击实验测试了纯玻璃纤维增强环氧树脂复合材料和304不锈钢丝网(SSWM)/玻璃纤维混杂复合材料的力学性能,探究了SSWM嵌入数量对混杂复合材料抗冲击性能的影响．随后采用Abaqus有限元软件建立了混杂复合材料的低速冲击模型,分别采用三维Hashin失效准则和Jason-Cook破坏准则模拟了纤维/基体和SSWM的损伤;建立了基于表面接触的内聚力模型来模拟界面分层;编写了VUMAT用户子程序定义混杂复合材料层合板的渐进失效过程．结果表明：相较于纯玻璃纤维增强环氧树脂层合板,SSWM/玻璃纤维混杂增强环氧树脂层合板的抗冲击性能更优,其中铺层形式为铺层III的混杂复合材料抗冲击性能最佳．通过对比发现有限元仿真结果与实验结果吻合良好,表明建立的模型适用于SSWM/玻璃纤维混杂增强环氧树脂复合材料低速冲击损伤的评估．通过分析仿真结果发现混杂复合材料的低速冲击损伤主要是冲击区域的纤维断裂、基体破坏和层间分层;SSWM通过吸收和传递冲击能量从而提升了混杂复合材料的抗冲击性能．