A macroscopic damage‐plastic constitutive law for modeling quasi‐brittle fracture and ductile behavior of concrete

A new phenomenological macroscopic constitutive model for the numerical simulation of quasi‐brittle fracture and ductile concrete behavior, under general triaxial stress conditions, is presented. The model is particularly addressed to simulate a wide range of confinement stress states, as also, to capture the strong influence of the mean stress value in the concrete failure mechanisms. The model is based on a two‐surface damage‐plastic formulation. The mechanical behavior in different domains of the stress space is separately described by means of a quasi‐brittle or ductile material response:

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静三轴试验中水泥土力学特性及本构模型研究

通过不排水三轴压缩试验对水泥土的力学特性进行研究,重点分析了围压与水泥掺入比对水泥土体强度、孔压及刚度的影响。试验结果表明,随着围压与水泥掺入比的增加,水泥土体的强度与刚度均增加,而孔压随之减少;随着轴应变的增加,刚度逐渐减少。而在加载初期,刚度衰减较快,随着轴应变的继续增加曲线渐趋平缓,衰减现象并不明显;随着无量纲化偏应力的增加,无量纲化刚度逐渐减少,并且两者为曲线关系。通过对水泥土的刚度软化规律进行描述,得到了修正的邓肯-张模型。通过对试验曲线进行回归分析确定了模型参数。与实测数据对比发现,该修正模型不仅可以较好地模拟水泥土的应力-应变关系,还体现了水泥土应变软化型曲线的特点。     

Experimental and theoretical investigation of the high‐pressure behavior of concrete

The results of an experimental study aimed at characterizing the behavior of concrete for high confining pressures (up to 500 MPa) are reported. The main characteristics of the response under deviatoric conditions are quasi‐linearity in the elastic regime, stress‐path dependency, and gradual change from compressibility to dilatancy under increasing deviatoric stress. By performing the cyclic triaxial compression tests with several load–creep–unload and reload cycles, the time influence on the overall behavior was detected. Further, whether the main features of the observed behavior can be described within the framework of elastic/viscoplasticity theory was investigated. For this purpose, Cristescu's (Rock Rheology. Kluwer Academic Publishers: The Netherlands, 1989) approach was used. It was shown that the proposed elastic/viscoplastic model captures the main features of concrete behavior at high pressures. Copyright © 2008 John Wiley & Sons, Ltd.     

Microplane damage model for jointed rock masses

The paper presents a new microplane constitutive model for the inelastic behavior of jointed rock masses that takes into account the mechanical behavior and geometric characteristics of cracks and joints. The basic idea is that the microplane modeling of rock masses under general triaxial loading, including compression, requires the isotropic rock matrix and the joints to be considered as two distinct phases coupled in parallel. A joint continuity factor is defined as a microplane damage variable to represent the stress‐carrying area fraction of the joint phase. Based on the assumption of parallel coupling between the rock joint and the rock matrix, the overall mechanical behavior of the rock is characterized by microplane constitutive laws for the rock matrix and for the rock joints, along with an evolution law for the microplane joint continuity factor. The inelastic response of the rock matrix and the rock joints is controlled on the microplane level by the stress–strain boundaries. Based on the arguments enunciated in developing the new microplane model M7 for concrete, the previously used volumetric–deviatoric splits of the elastic strains and of the tensile boundary are avoided. The boundaries are tensile normal, compressive normal, and shear. The numerical simulations demonstrate satisfactory fits of published triaxial test data on sandstone and on jointed plaster mortar, including quintessential features such as the strain softening and dilatancy under low confining pressure, as well as the brittle–ductile transition under higher confining pressure, and the decrease of jointed rock strength and Young's modulus with an increasing dip angle of the joint. Copyright © 2014 John Wiley & Sons, Ltd.     

A mesoscopic model for the behaviour of concrete under high confinement

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人工胶结砂物理力学特性试验研究

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石碑塬滑坡黄土液化特征及其影响因素研究

石碑塬滑坡是1920年海原地震触发的大型黄土流滑,认识其破坏特征与发生机制对于黄土边坡长距离液化失稳机制的研究非常重要。对石碑塬黄土滑坡的调查和研究表明,饱和黄土或高含水率黄土具有很高的液化势和流态破坏势,在强震作用下,饱和黄土易发生液化或流滑。对石碑塬滑坡的7组原状黄土样品进行振动三轴剪切试验,并结合其微观特征分析,探讨了循环振动荷载作用下的饱和黄土孔隙水压力-应变增长模型,分析了振动液化过程中液化应力比与黄土粒度组成、土体微观结构参数及饱和度之间的关系。结果表明：黏粒含量越低,振动作用下饱和黄土孔隙水压力响应越快,液化应力比越低;黄土孔隙比越大,孔隙结构分形维数越大,液化应力比越低,振动液化后黄土孔隙分形维数降低,结构较液化之前更为致密;饱和度对黄土粒间胶结物质的赋存状态及黄土结构强度影响很大,同一土体饱和度越高,溶滤于孔隙水中的离子浓度越高,土体粒间接触点（或胶结点）越容易发生断裂,使得黄土结构强度降低,液化应力比降低。     

不同密度粗粒料强度特性的大型真三轴试验

干密度对粗粒料的强度特性有重要影响,特别是三维应力状态下影响更为显著。通过不同密度粗粒料大型真三轴等小主应力等中主应力系数（b=0.25）加载试验和大三轴试验研究了干密度对粗粒料强度特性的影响。结果表明,大型真三轴试验的应力曲线基本呈爬升型,高于和陡于大三轴应力曲线,表现出较强的硬化性;粗粒料强度基本随初始干密度的增大或小主应力的增大呈线性增大;大型真三轴试验强度比大三轴试验强度增大20%～97%,且小主应力越小,强度增大幅度越大;令粗粒料黏聚力为0,则内摩擦角随初始干密度的增大基本呈线性增大,随小主应力的增大而减小;破坏应力比随初始干密度的增大呈线性增大,随小主应力的增大而呈线性减小,大型真三轴试验的破坏应力比小于大三轴试验的破坏应力比。     

Behavior of Undisturbed Residual Soil under Cyclic Loading

In order to determine behavior of Xiamen residual soil under cyclic loading, triaxial test with undrained conditions has been conducted in this paper. First, some important dynamic parameters such as strength, elastic modulus and damping ratio have been determined. Secondly, behavior of stress-strain, stress path and excess pore water pressure under cyclic loading has been analyzed. Finally, both the normalization and the determination of dynamic strength index ∅d and ?d for residual soil have been discussed.     

花岗岩残积土在周期荷载下力学特性的实验研究

本文首先介绍厦门某地两种具有代表性的原状残积土(花岗岩残积土)室内三轴不排水动力剪切实验所得到的残积土在循环荷载作用下表现出来的诸如周期抗剪强度,动弹性模量以及等效阻尼比等动力学性质及其有关的重要参数;继而分析了花岗岩残积土在周期剪切过程中强度、变形、应力路径及孔隙压力等方面所具有的特点,以图揭示它们的内在规律;最后讨论了残积土周期荷载作用下归一化性状及动强度的确定方法。     

The behaviour of an artificially cemented sandy gravel

The major section of the city of Tehran, Iran has been developed on cemented coarse-grained alluvium. This deposit consists of gravely sand to sandy gravel with some cobbles and is dominantly cemented by carbonaceous materials. In order to understand the mechanical behaviour of this soil, a series of undrained triaxial compression tests and unconfined compression tests were performed on uncemented and artificially cemented samples. Portland cement type I was used as the cementation agent for preparing artificially cemented samples. Uncemented samples and lightly cemented samples (1.5% cement) tested at high confining pressure showed contractive behaviour accompanied with positive excess pore water pressure and a barrelling failure mode. However, cemented samples and uncemented samples tested at low confining pressure (25 and 50 kN/m²) showed dilative behaviour accompanied with negative excess pore water pressure. Shear zones were formed in these samples and a clear peak in excess pore water pressure and stress ratio against strain could be observed. Test results showed that the limiting stress ratio surface for cemented samples is curved and expands as the cementation and density increase. Unconfined compression strength of cemented samples increases with increases in cementation and density as well.     

Behavior of cemented sands—I. Testing

This paper is accompanied by a study on constitutive modelling issues of cemented sands. The concentration here is on experimental issues related to the triaxial testing of cemented sands. A preliminary investigation is performed aiming to identify potential effects of specimen size and slenderness on the stress–strain–strength characteristics of cemented sands. A comprehensive experimental study follows where clean sand specimens, as well as specimens with 2, 4 and 6 per cent cement content, are tested. The aim of the study is to examine the effects of cement content and confinement on the shear strength, stiffness, softening and dilation characteristics of cemented sand. © 1997 John Wiley & Sons, Ltd.     

水泥砂浆固化土三轴试验研究

为研究水泥砂浆固化土剪切强度特性和合理确定水泥砂浆固化土工程应用的配比,从掺砂量、水泥掺入比、原料土含水率及砂料粒径入手,对水泥砂浆固化土进行了室内固结不排水三轴（CU）试验研究。结果表明,掺砂可以改善固化土强度;随掺砂量的增加,黏聚力和有效黏聚力先增加后减小,转折点的掺砂量为最佳掺砂量（10%左右）,内摩擦角和有效内摩擦角不断增加,一定掺砂量下增加水泥掺入比可有效地提高固化土的强度;随着含水率的增加,固化土的黏聚力呈近似线性减小的关系,而内摩擦角几乎保持不变,采用水泥砂浆处理高含水率软弱地基时适当提高掺砂量,可以较大幅度改善固化土的力学性质;在掺料配比一定的情况下砂料粒径对固化土的抗剪强度指标存在一定的影响。采用单一粒径砂料的固化土抗剪强度更高,该单一粒径在固化土级配良好的前提下,不均匀系数Cu趋于最大、曲率系数Cc趋于最小     

含水率对加筋膨胀土强度的影响

通过室内加筋三轴剪切试验,得出最优含水率附近两种不同含水率的加筋膨胀土的应力-应变关系曲线。分析试验曲线可知,相同含水率时试样的强度随着加筋层数、周围压力的增加而增大;同围压、同加筋层数的试样的含水率略微的减少,引起强度明显的增加,表明加筋膨胀土强度的水敏感性。     

A density‐dependent elastoplastic hydro‐mechanical model for unsaturated compacted soils

This paper presents a three‐dimensional elastoplastic constitutive model for predicting the hydraulic and mechanical behaviour of unsaturated soils. It is based on experimental results obtained from a series of controlled‐suction triaxial tests on unsaturated compacted clay with different initial densities. Hydraulic hysteresis in the water‐retention behaviour is modelled as an elastoplastic process, with the elastic part modelled by a series of scanning curves and the elastoplastic part modelled by the main drying and wetting curves. The effect of void ratio on the water‐retention behaviour is studied using data obtained from controlled‐suction wetting–drying cyclic tests on unsaturated compacted clay with different initial densities. The effect of the degree of saturation on the stress–strain‐strength behaviour and the effect of void ratio on the water‐retention behaviour are considered in the model, as is the effect of suction on the hydraulic and mechanical behaviour. The initial density dependency of the compacted soil behaviour is modelled by experimental relationships between the initial density and the corresponding yield stress and, thereby, between the initial density and the normal compression line. The model is generalized to three‐dimensional stress states by assuming that the shapes of the failure and yield surfaces in the deviatoric stress plane are given by the Matsuoka–Nakai criterion. Model predictions of the stress–strain and water‐retention behaviour are compared with those obtained from triaxial tests with different initial densities under isotropic compression, triaxial compression and triaxial extension, with or without variation in suction. The comparisons indicate that the model accurately predicts the hydraulic and mechanical behaviour of unsaturated compacted soils with different initial densities using the same material constant. Copyright © 2006 John Wiley & Sons, Ltd.     

真三轴条件下Q2黄土的破坏模式与强度特性研究

基于西安理工大学自主研发的新型真三轴试验仪,对不同含水率Q2黄土在不同b值、不同固结围压条件下进行了真三轴试验研究,分析了真三轴试样破坏方式、中主应力对抗剪强度参数的影响以及π平面上的强度破坏面。结果表明,Q2黄土真三轴试样破坏方式主要有侧胀破坏、锥形破坏、梯形破坏、六边形破坏;不同b值应力路经条件下黏聚力与三轴压缩条件下黏聚力的比值在0.9～1.9之间,内摩擦角比值在0.7～1.5之间。土的结构性和土体破坏方式对π平面上的强度破坏面的形状影响较大,固结围压对π平面上的强度破坏面的大小影响较大;原状Q2黄土在π平面上的强度破坏面形状主要呈现梨形和轴对称六边形;随着结构性由强到弱,π平面上的强度破坏面形状由梨形向轴对称六边形变化。     

轻量砂变形及强度特性三轴试验研究

通过三轴试验系统研究了新型土工材料--轻量砂的变形及强度特性。结果表明,不同的配比、龄期使轻量砂具有不同的原生结构强度,围压使不同原生结构强度的土样处于剪胀或剪缩状态,导致发生应变硬化、应变软化以及相应状态下孔压的3种对应形态变化。变形模量随EPS（发泡聚苯乙烯）球粒掺入比的增大而线性减小,随水泥掺入比、龄期增大而线性增大,相同配比的土样变形模量与围压关系不大;三轴抗压强度随EPS球粒掺入比增大而呈负指数关系减小,随水泥掺入比、龄期、围压增大而线性增大,存在水泥掺入比阀值;土骨架转换效应对于土样强度的影响很大,造成了土体单轴、三轴抗压强度分带,高水泥掺入比能够大大弱化EPS颗粒的土骨架效应。结合前人成果,系统地研究了轻量砂密度、无侧限抗压强度的影响因素,引入材料学中比强的概念,提出了单价比强图结合配方公式的方法,对轻量土砂进行配方优化。分析了轻量土砂应力-应变关系转型问题,提出采用无侧限抗压强度来表征不同配比、龄期轻量土砂的原生结构强度。通过试验与数理统计,建立临界围压与原生结构强度的关系,为数值模拟计算与建立本构模型奠定了基础。     

现浇混凝土-冻土接触面冻结强度直剪试验研究

关于混凝土-冻土接触面的力学强度研究多集中于预制成型混凝土样（块）与冻土接触面的力学试验研究,而与工程实际更为接近的冻土中现浇混凝土、冻结稳定后混凝土-冻土接触面的力学强度研究则少有涉及。基于冻土中现浇混凝土的试验方式,开展了不同水灰比、含冰量及冻土温度条件下,混凝土-冻土复杂接触面冻结强度的直剪试验研究。结果表明：试验条件下,由于混凝土中粗、细骨料导热系数及水化热侵蚀强度不同,冻土中现浇混凝土会导致混凝土-冻土接触面发生起伏变化。受该因素影响,粗糙接触面较光滑接触面的冻结强度增大71.9%。粗糙接触面引起的应力集中,使得剪应力在剪切破坏过程中出现间歇性增大、跳跃。在冻结强度构成中,随接触面粗糙程度的增大, φ值对冻结强度增长的贡献要大于c值。水灰比由0.4增至0.6,混凝土导热系数降低,生成接触面趋于光滑,冻结强度减小;土体含水量由15%增大至30%时,冻结强度增大,含水量继续增大至40%时,冻结强度减小;在不同温度条件下,整体呈现冻土温度降低冻结强度相应增大的趋势。基于上述结果,多年冻土区灌注桩设计时,建议混凝土采用0.4~0.5水灰比。     

连云港软黏土的不排水强度试验研究

对连云港软黏土不扰动样和重塑样进行三轴CU对比试验研究。结果表明,不扰动样的不排水强度包线是由以屈服压力为界的双折线组成,而重塑样的不排水强度包线可以用通过圆点的直线表示。屈服前阶段,不扰动样由于受结构性影响产生的抵抗作用,其不排水强度包线高于重塑样;屈服后阶段,不扰动样的不排水强度包线介于具有不同初始含水率的重塑样的包线之间。通过对比分析,发现不扰动样与重塑样的不排水强度包线存在差异的主要原因是由于试样的不同初始含水率引起的。不扰动样在屈服后阶段的含水率变化规律与不排水强度增长规律与重塑土相一致,采用Burland提出的孔隙指数Iv,可将不同初始含水率重塑样及屈服后阶段不扰动样的压缩性状较好地归一化。     

特厚表土层钢板混凝土复合井壁竖向承载力试验研究

通过模型试验和理论分析,对特厚表土层双层钢板高强混凝土复合井壁的竖向受力特性进行了研究。首先,根据相似理论,进行了双层钢板高强混凝土复合井壁结构的模型设计和试件加工;然后,通过加载试验,得到了井壁结构在竖向荷载和侧压共同作用下的竖向应力、变形和强度特性。结果表明：由于内、外钢板筒的约束作用,井壁结构中的混凝土完全处于三向受压应力状态下,其抗压强度提高了1.73～1.92倍,且井壁破坏时混凝土的竖向极限压应变达到-3.9×10-3,表现出较好的延性特性。通过钢板与混凝土的相互约束,改善了各自的力学特性,使井壁竖向承载力显著提高,远比钢板筒和中间混凝土层的竖向极限承载力之和大,并根据理论分析和试验结果推导出了井壁竖向承载力的计算公式,对理论研究和工程应用具有一定的参考价值。