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The Role of Cohesive Strength and Separation Energy for Modeling of Ductile Fracture 黏结强度和分离能在塑性断裂建模中的作用
Pub Date : 2000-01-01 DOI: 10.1520/STP13400S
T. Siegmund, W. Brocks
Barenblatt's idea of modeling the crack process zone by means of a cohesive zone has attracted considerable attention for predicting ductile crack growth. The model allows separation of the energy necessary for material separation from global plastic work. This has been a key problem in ductile fracture when searching for reasons for the geometry dependence of crack growth resistance curves. When using cohesive zone models, the correct determination of the cohesive zone material parameters is of eminent importance. In the past these parameters-the cohesive strength and the separation energy-were assumed to be material constants. However, micromechanical considerations show that this assumption is only an approximation in the case of ductile fracture. Here, the underlying mechanisms of void nucleation, growth, and coalescence are dependent on the stress triaxiality. This effect is accounted for in the new constitutive equation for cohesive zone models as presented here. In this new "triaxiality-dependent cohesive zone model," the cohesive material properties are taken to be dependent on the stress triaxiality in the solid element adjacent to the cohesive element. For low triaxiality, low values of cohesive strength and large values of the separation energy are observed; the opposite holds true for cases of high triaxiality. Ductile crack growth in a mild steel under quasistatic loading was investigated. The results from the use of the triaxiality-dependent cohesive zone model are compared to those of the Gurson-Tvergaard-Needleman (GTN) model as well as to the cohesive zone model with constant material parameters. The dissipation rate is shown to be a favorable measure for the characterization of the crack growth resistance. It allows the description of both the (global) plastic dissipation and the (local) work of fracture.
Barenblatt用黏合区来模拟裂纹过程区的想法在预测韧性裂纹扩展方面引起了相当大的关注。该模型允许从全球塑料工作中分离出材料分离所需的能量。在寻找裂纹扩展阻力曲线几何依赖性的原因时,这一直是韧性断裂中的一个关键问题。在使用黏结区模型时,黏结区材料参数的正确确定至关重要。过去,这些参数——内聚强度和分离能——被认为是材料常数。然而,微观力学的考虑表明,这种假设只是一个近似的韧性断裂的情况下。在这里,空洞成核、生长和聚并的潜在机制取决于应力三轴性。这种影响是在新的本构方程的粘聚区模型,在这里提出。在这个新的“triaxiality-dependent软熔带模式,”聚合材料属性被依赖于应力三维固体元素毗邻凝聚力元素。低三轴性时,黏结强度较低,分离能较大;高三轴性的情况正好相反。研究了一种低碳钢在准静态载荷作用下的延性裂纹扩展。将三轴相关黏聚带模型的计算结果与Gurson-Tvergaard-Needleman (GTN)模型以及恒定材料参数黏聚带模型的计算结果进行了比较。耗散率是表征裂纹扩展阻力的有利指标。它允许描述(整体)塑性耗散和(局部)断裂功。
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引用次数: 48
Elastic-plastic fracture mechanics: Where has it been? Where is it going? 弹塑性断裂力学:发展到哪里了?它要去哪里?
Pub Date : 2000-01-01 DOI: 10.1520/STP13391S
J. Landes
Elastic-plastic fracture mechanics (EPFM) is the name given to a body of fracture technology that includes parameters, test methods, and analysis techniques. EPFM began in the 1960s, soon after it was recognized that the linear elastic approach to fracture mechanics was too limited to cover many engineering applications. It began in response to real engineering problems and continues to develop in the same application-driven mode. The development of EPFM spans more than three decades. It involved many people and a multitude of good ideas. Some of the people have gone on to other pursuits, and many of the ideas have been set aside or discarded in the never-ending debate about which is the best approach. The development of EPFM is not complete, nor is the controversy ended. It is important to look back at the factors that influenced such a vast development of technology before trying to forge ahead. This paper takes a look at the area of fracture mechanics called EPFM. It considers the development of a technology that involved people, places, and a seemingly inexhaustible supply of technical ideas. It considers what happened in the past, what is going on in the present, and speculates about what will happen for the future. Its purpose is to stop for a moment and consider for EPFM: Where has it been? Where is it going?
弹塑性断裂力学(EPFM)是断裂技术的统称,包括参数、测试方法和分析技术。EPFM始于20世纪60年代,当时人们认识到,断裂力学的线弹性方法太过局限,无法覆盖许多工程应用。它开始于对实际工程问题的响应,并以相同的应用驱动模式继续发展。EPFM的发展跨越了三十多年。它涉及许多人和许多好主意。有些人继续追求其他的东西,许多想法在关于哪种方法是最好的无休止的辩论中被搁置或抛弃了。EPFM的发展还没有完成,争议也没有结束。在尝试前进之前,回顾一下影响如此巨大的技术发展的因素是很重要的。本文研究了断裂力学领域EPFM。它考虑的是一项涉及人、地点和看似取之不尽的技术理念的技术发展。它考虑过去发生了什么,现在正在发生什么,并推测未来会发生什么。它的目的是停下来思考一下EPFM:它在哪里?它要去哪里?
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引用次数: 4
A Viscoplasticity Model for Characterizing Loading and Unloading Behavior of Polymeric Composites 表征聚合物复合材料加载和卸载行为的粘塑性模型
Pub Date : 2000-01-01 DOI: 10.1520/STP15838S
Chang-ming Zhu, C. Sun
An overstress viscoplasticity model is proposed to describe the rate-dependent behavior of a polymeric composite during loading and unloading. In the model, a three-parameter function is used to describe viscoplastic strain rate. In the loading stage, the equilibrium stress is determined using a multi-step relaxation test performed during loading. During the initial unloading stage, owing to the fact that the viscoplastic strain rate is still positive, the material still experiences "loading," and the corresponding equilibrium stress is the equilibrium stress-strain curve for loading. In the second unloading stage, the viscoplastic strain rate becomes negative, and the material is in a true unloading mode for which the equilibrium stress is determined again using the multi-step "relaxation" test. The viscoplasticity model is found to be capable of capturing the characteristics of the rate-dependent loading and unloading behavior.
提出了一个超应力粘塑性模型来描述聚合物复合材料在加载和卸载过程中的速率依赖行为。模型中采用三参数函数来描述粘塑性应变率。在加载阶段,通过加载过程中进行的多步松弛试验来确定平衡应力。卸载初期,由于粘塑性应变率仍为正,材料仍处于“加载”状态,对应的平衡应力为加载平衡应力-应变曲线。在第二卸载阶段,粘塑性应变率变为负值,材料进入真正的卸载模式,通过多步“松弛”试验再次确定平衡应力。发现粘塑性模型能够捕捉速率相关加载和卸载行为的特征。
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引用次数: 10
Evaluation of a Terrestrial Foodweb Model to Set Soil Cleanup Levels 陆地食物网模型对土壤清理水平的评价
Pub Date : 2000-01-01 DOI: 10.1520/STP14416S
P. Doctor, K. A. Gano, N. K. Lane
The Washington State Department of Ecology (Ecology) is revising the Model Toxics Control Act (MTCA: WAC 173-340-7490 to 7494) to include terrestrial food pathways in an ecological risk evaluation and to set cleanup levels. One of the key provisions of the ecological risk assessment approach proposed by Ecology is a generic simplified "foodweb" model that would be used to set cleanup levels. The terrestrial model is based on four feeding guilds and default species are the earthworm, shrew, vole, and robin. The use of a foodweb model implies that the results should in some way be descriptive of the ecosystem being evaluated. Any decision criterion (e.g., a benchmark or cleanup level) should be site-specific, and based on species present at the site. The default species are not representative of the fauna in the native shrub-steppe ecosystem of the Hanford Site. Therefore, the use of species not present at the site to set soil cleanup levels seems flawed. Alternative species for the four feeding guilds have been selected. Species specific exposure parameters were developed from the literature.
华盛顿州生态部(Ecology)正在修订《有毒物质控制模型法案》(MTCA: WAC 173-340-7490至7494),将陆地食物途径纳入生态风险评估,并设定清理水平。《生态学》提出的生态风险评估方法的关键条款之一是一个通用的简化“食物网”模型,该模型将用于设定清理水平。陆地模型基于四种食性行会,默认物种是蚯蚓、鼩鼱、田鼠和知更鸟。食物网模型的使用意味着结果应该在某种程度上描述被评估的生态系统。任何决策标准(例如,基准或清理水平)都应针对具体地点,并以该地点存在的物种为基础。默认物种不能代表汉福德遗址区原生灌木-草原生态系统的动物群。因此,使用现场不存在的物种来设定土壤净化水平似乎是有缺陷的。四个喂养行会的备选物种已经选定。根据文献建立了物种特定暴露参数。
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引用次数: 1
Behavior of the High-Temperaturse Titanium Alloy IMI 834 Under Thermo-mechanical and Isothermal Fatigue Conditions 高温钛合金imi834在热-机械和等温疲劳条件下的行为
Pub Date : 2000-01-01 DOI: 10.1520/STP15251S
P. Pototzky, H. Maier, H. Christ
The high-temperature titanium alloy IMI 834 was studied with regard to the stress-strain response under thermo-mechanical fatigue conditions, the evolution of the microstructure, the relevant damage mechanisms and their implications for fatigue life. For this purpose isothermal and thermo-mechanical fatigue tests were performed in the temperature range from 350°C to 650°C in vacuum and air, respectively, and changes in the microstructure were determined by means of transmission electron microscopy. It was found that planar dislocation slip prevails in all tests in which the temperature does not exceed 600°C. Hence, in this temperature range the stress-strain response under thermo-mechanical conditions can be predicted solely based on the isothermal behavior. By contrast, a transition to wavy slip takes place at higher temperatures, affecting significantly the stresses in the low-temperature part of the corresponding thermo-mechanical fatigue tests. Fatigue life was generally observed to be lower in out-of-phase tests as compared to in-phase loading. Furthermore, the tests performed in high vacuum demonstrated that oxidation strongly affects fatigue life, but does not basically change the influence of testing mode on cyclic life. This can mainly be attributed to the additional effect of the acting mean stress.
研究了高温钛合金imi834在热机械疲劳条件下的应力应变响应、组织演变、损伤机理及其对疲劳寿命的影响。为此,在真空和空气中分别在350°C至650°C的温度范围内进行等温和热机械疲劳试验,并通过透射电子显微镜确定微观结构的变化。在温度不超过600℃的所有试验中,均以平面位错滑移为主。因此,在此温度范围内,热机械条件下的应力应变响应可以仅根据等温行为来预测。相反,在较高温度下发生向波滑的转变,显著影响相应热机械疲劳试验低温部分的应力。与同相加载相比,通常观察到在非相加载中疲劳寿命较低。此外,在高真空条件下进行的试验表明,氧化对疲劳寿命的影响很大,但试验方式对循环寿命的影响基本没有改变。这主要归因于作用平均应力的附加效应。
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引用次数: 2
Fatigue life estimation under cumulative cyclic loading conditions 累积循环载荷条件下的疲劳寿命估算
Pub Date : 2000-01-01 DOI: 10.1520/STP14796S
S. Kalluri, M. Mcgaw, G. Halford
The cumulative fatigue behavior of a cobalt-base superalloy, Haynes 188, was investigated at 760°C in air. Initially, strain-controlled tests were conducted on solid cylindrical gage section specimens of Haynes 188 under fully reversed, tensile and compressive mean strain-controlled fatigue tests. Fatigue data from these tests were used to establish the baseline fatigue behavior of the alloy with (1) a total strain range type fatigue life relation and (2) the Smith-Watson-Topper (SWT) parameter. Subsequently, two load-level multi-block fatigue tests were conducted on similar specimens of Haynes 188 at the same temperature. Fatigue lives of the multi-block tests were estimated with (1) the linear damage rule (LDR) and (2) the nonlinear damage curve approach (DCA) both with and without the consideration of mean stresses generated during the cumulative fatigue tests. Fatigue life predictions by the nonlinear DCA were much closer to the experimentally observed lives than those obtained by the LDR. In the presence of mean stresses, the SWT parameter estimated the fatigue lives more accurately under tensile conditions than under compressive conditions.
研究了钴基高温合金Haynes 188在760℃空气中的累积疲劳行为。首先,在Haynes 188固体圆柱形截面试样上进行了完全反向、拉伸和压缩平均应变控制疲劳试验。这些试验的疲劳数据被用来建立合金的基线疲劳行为(1)总应变范围型疲劳寿命关系和(2)Smith-Watson-Topper (SWT)参数。随后,对Haynes 188相似试件在相同温度下进行了2次载荷水平多块疲劳试验。分别采用(1)线性损伤规则法(LDR)和(2)非线性损伤曲线法(DCA)对多块试验疲劳寿命进行估计,并分别考虑累积疲劳试验产生的平均应力和不考虑累积疲劳试验产生的平均应力。与LDR相比,非线性DCA预测的疲劳寿命更接近实验观察寿命。在平均应力存在的情况下,SWT参数在拉伸条件下比在压缩条件下更准确地估计疲劳寿命。
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引用次数: 5
An overview and discussion of basic methodology for fatigue 疲劳的基本方法综述与讨论
Pub Date : 2000-01-01 DOI: 10.1520/STP14791S
N. Dowling, S. Thangjitham
This paper broadly reviews the stress-based, strain-based, and crack growth approaches to fatigue life prediction, and it attempts to suggest some choices and variations of these that might enhance their inclusion in undergraduate education and their more routine use by practicing engineers. For the stress-based approach, emphasis should shift toward the use of data on actual components, and it should be recognized that damage below the usual fatigue limit may occur. Also, evaluation of mean stress effects by the modified Goodman diagram should be replaced by other methods. The usefulness of the strain-based approach for simple situations may be extended by adding empirical adjustments for surface finish and size. It may also be desirable to lower the long-life end of the strain-life curve to obtain agreement with limited component test data, producing a component-specific strain-life curve. Use of the crack growth approach is hampered by the lack of a widely accepted set of materials constants for describing da/dN versus ΔK curves. It is recommended that this situation be remedied by representing the intermediate growth rate region with a Paris-type exponent, an associated coefficient, and a third constant that characterizes the sensitivity to R-ratio according to the equation of Walker. Limits or asymptotic behavior for the low and high growth rate regions should then be handled separately.
本文综述了基于应力的、基于应变的和基于裂纹扩展的疲劳寿命预测方法,并试图提出一些选择和变化,这些方法可能会提高它们在本科教育中的包容性,并使实践工程师更经常地使用它们。对于基于应力的方法,重点应该转向使用实际部件的数据,并且应该认识到可能会发生低于通常疲劳极限的损伤。同时,修正的Goodman图对平均应力效应的评价应由其他方法代替。通过增加表面光洁度和尺寸的经验调整,可以扩大基于应变的方法在简单情况下的实用性。也可能需要降低应变寿命曲线的长寿命端,以获得与有限组件测试数据的一致性,从而产生特定组件的应变寿命曲线。由于缺乏一套广泛接受的材料常数来描述da/dN与ΔK曲线,因此阻碍了裂纹扩展方法的使用。建议用帕里斯型指数、相关系数和根据Walker方程表征对r比敏感性的第三个常数来表示中间增长率区域,以纠正这种情况。然后应该分别处理低增长率和高增长率区域的极限或渐近行为。
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引用次数: 28
Implementation of Constitutive Model in FEA for Nonlinear Behavior of Plastics 本构模型在塑料非线性有限元分析中的应用
Pub Date : 2000-01-01 DOI: 10.1520/STP15830S
I. Skrypnyk, J. Spoormaker, W. Smit
The main elements of implementation into a finite-element analysis (FEA) package of the earlier developed model for nonlinear viscoelastic behavior of plastics are described. The Henriksen scheme of discretization of the hereditary integral has been chosen for implementation. This scheme enables development of a fast procedure for modeling of viscoelastic behavior. As a result, the time necessary for calculation of problems of viscoelasticity is not much larger than the calculation time required for simulation of elasto-plastic behavior. Several discretization schemes have been analyzed, implemented in FEA software MARC and verified. The numerical algorithm, which is chosen as a result of comparison, allows us to reach a total deviation of less than 8% to 10% for the modeling of creep and recovery of PMMA and HDPE for the broad range of loading levels. The case study of a thick plate under distributed transversal loading is examined to compare the results achieved using the Schapery model with the newly proposed approach.
描述了早期开发的塑料非线性粘弹性模型的有限元分析(FEA)包的主要实现要素。遗传积分的离散化选择了Henriksen格式来实现。该方案使粘弹性行为的快速建模程序的发展成为可能。因此,计算粘弹性问题所需的时间并不比模拟弹塑性行为所需的计算时间大多少。对几种离散化方案进行了分析,并在MARC有限元软件中进行了验证。通过比较选择的数值算法,可以使我们在广泛的加载水平范围内对PMMA和HDPE的蠕变和恢复进行建模,总偏差小于8%至10%。以横向分布荷载作用下厚板为例,比较了Schapery模型和新方法的计算结果。
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引用次数: 5
Estimation Procedure for Determination of Fatigue Crack Propagation in Metal Alloys 测定金属合金疲劳裂纹扩展的估计方法
Pub Date : 2000-01-01 DOI: 10.1520/STP13408S
R. Hertzberg
Estimation of closure-corrected fatigue crack propagation (FCP) data in monolithic metal alloys was reported recently by the author, using a simple computational method. The quantity E√b, where E = the modulus of elasticity, and b, the dislocation Burgers vector, is used to define a stress intensity factor, corresponding to an FCP rate of b/cyc. The remainder of the FCP curve at higher FCP rates (where daldN > b) is found to follow a relation of the form: da/dN = (ΔK/E) 3 (1/√b). Good agreement is found between computed FCP data and recently reported experimental test results for various aluminum, titanium, and steel alloys. Such computations allow for a rapid and inexpensive way to estimate the FCP response of metals under both long and short crack growth conditions.
作者最近报道了用一种简单的计算方法估计单片金属合金闭合修正疲劳裂纹扩展(FCP)数据。量E√b,其中E =弹性模量,b为位错Burgers向量,用于定义应力强度因子,对应于FCP速率b/cyc。在较高的FCP速率下(daldN > b), FCP曲线的其余部分遵循如下关系:da/dN = (ΔK/E) 3(1/√b)。计算的FCP数据与最近报道的各种铝、钛和钢合金的实验测试结果吻合良好。这样的计算允许一种快速和廉价的方法来估计金属在长裂纹和短裂纹扩展条件下的FCP响应。
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引用次数: 1
Accelerated Strength Testing of Thermoplastic Composites 热塑性复合材料的加速强度试验
Pub Date : 2000-01-01 DOI: 10.1520/STP15841S
J. Reeder, D. Allen, W. Bradley
Constant ramp strength tests on unidirectional thermoplastic composite specimens oriented in the 90 deg. direction were conducted at constant temperatures ranging from 149 C to 232 C. Ramp rates spanning 5 orders of magnitude were tested so that failures occurred in the range from 0.5 sec. to 24 hrs. (0.5 to 100,000 MPa/sec). Below 204 C, time-temperature superposition held allowing strength at longer times to be estimated from strength tests at shorter times but higher temperatures. The data indicated that a 50% drop in strength might be expected for this material when the test time is increased by 9 orders of magnitude. The shift factors derived from compliance data applied well to the strength results. To explain the link between compliance and strength, a viscoelastic fracture model was investigated. The model, which used compliance as input, was found to fit the strength data only if the critical fracture energy was allowed to vary with temperature reduced stress rate. This variation in the critical parameter severely limits its use in developing a robust time-dependent strength model. The significance of this research is therefore seen as providing both the indication that a more versatile acceleration method for strength can be developed and the evidence that such a method is needed.
在149℃至232℃的恒温范围内,对定向90°方向的单向热塑性复合材料试样进行了恒定斜坡强度测试,测试了跨越5个数量级的斜坡速率,以便在0.5秒至24小时的范围内发生失效。(0.5 ~ 100,000 MPa/秒)。在204℃以下,保持时间-温度叠加,允许从较短时间但较高温度下的强度试验中估计较长时间的强度。数据表明,当试验时间增加9个数量级时,该材料的强度可能会下降50%。从顺应性数据得出的位移因子很好地应用于强度结果。为了解释柔度与强度之间的联系,研究了粘弹性断裂模型。该模型使用柔度作为输入,只有在允许临界断裂能随温度降低应力速率变化的情况下,才能拟合强度数据。这种关键参数的变化严重限制了其在开发鲁棒时变强度模型中的应用。因此,这项研究的意义在于提供了一种更通用的强度加速方法可以开发的指示,以及证明需要这种方法的证据。
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引用次数: 6
期刊
ASTM special technical publications
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