超高韧性水泥基复合材料动态压缩力学性能的数值模拟研究

该文基于HJC本构模型,采用分离式霍普金森杆（SHPB）压杆系统,对掺有聚乙烯醇（PVA）纤维的超高韧性水泥基复合材料（PVA-UHTCC）的动态压缩力学性能进行了数值模拟研究。首先,通过系统分析确定了21项HJC本构参数,并验证了模拟的正确性。基于此,通过分析5组应变率下材料的动态压缩应力-应变曲线讨论了峰值应力动态增强因子DIF的应变率效应,并通过LS-DYNA软件探讨了破坏过程、破坏形态与应变率的关系。模拟结果表明：随着应变率的增加,PVA-UHTCC材料的动态压缩应力-应变曲线呈现由应变硬化主导向着损伤软化主导的转变趋势;此外,PVA-UHTCC峰值应力动态增强因子DIF具有明显的应变率效应,其值随着应变率增加而增加,且在不同应变率区间呈现不同敏感性;通过量化DIF这种分区敏感性,提出了适用于PVA-UHTCC材料的DIF与应变率对数lgε分段函数式;同时,通过对比钢纤维增强水泥基材料（SFRCC）和普通混凝土材料,发现PVA-UHTCC材料的DIF应变率敏感性较低。最后,通过LS-DYNA软件模拟试件裂缝扩展和压碎破坏过程,更好地理解了PVA-UHTCC材料动态压缩破坏行为。     

直剪作用下再生混凝土力学性能及强度指标换算

以再生粗骨料取代率为变化参数,通过75个再生混凝土(RAC)试件的直剪、抗压与劈裂抗拉试验,揭示了RAC的直剪破坏机制及不同强度指标之间的换算规律。结果表明:RAC在直剪作用下为明显的脆性破坏,粗骨料和水泥基体均被剪断;随着取代率的增加,RAC直剪强度较普通混凝土变化不大,总体上呈降低趋势,但50%取代率(按质量)时直剪强度有所增大;峰值剪切变形随取代率的增大,总体呈增大趋势,平均提高了18.85%;初始剪切变形模量随取代率的增大,总体呈降低的趋势,平均降低了8.97%;最后,基于试验数据提出了RAC剪切强度与抗压、劈裂抗拉强度的换算关系式,计算结果与试验值吻合较好。      

Dynamic fragmentation process in concrete under impact and spalling tests

Intense damages as scabbing on front face, spalling on rear face, radial cracks are observed in concrete structures when subjected to the impact of a kinetic striker. To characterize the dynamic strength and damage of concretes under such loadings one may perform spalling tests and EOI (edge-on impact) tests. Both tests have been conducted with dry and wet specimens of a micro-concrete named MB50. The tests revealed a remarked effect of strain-rate and free water on the dynamic response of the concrete. In parallel, bending tests and direct tensile tests have been performed with dry and saturated concrete samples considering large and small effective volumes and the results have been compared with five sets of data given in the literature with the same material. A scale effect is observed in agreement with prediction of Weibull theory. Moreover, an anisotropic damage model that describes the initiation of cracks and the obscuration of critical defects under high strain-rate tensile loading is presented. It allows accounting for the influence of loading-rate and free-water on the dynamic strength and damage of concrete observed in EOI and spalling tests.     

Numerical simulations of oblique-angle penetration by deformable projectiles into concrete targets

Numerical simulations of oblique-angle penetration by deformable projectiles into concrete targets are performed in this paper by using the three-dimensional finite element code LS-DYNA, into which a combined dynamic constitutive model which can simultaneously describe both the compressive and tensile damage of concrete is implemented. As a consequence, the ballistic trajectories and the depths of penetration under different oblique angles (from 10° to the ricochet angle) are obtained. Moreover, the damage distribution of concrete after oblique penetration is procured, which can really reflect the tensile and compressive damage of concrete. The numerical results for the depths of penetration are compared with experimental data obtained by previous authors and show good agreement.     

Numerical simulation of reinforced concrete beams with different shear reinforcements under dynamic impact loads

The behavior of concrete/reinforced concrete structures is strongly influenced by the loading rate. Reinforced concrete structural members subjected to impact loads behave quite differently as compared to the same subjected to quasi-static loading. This difference is attributed to the strain-rate influence on strength, stiffness, and ductility as well as to the activation of inertia forces. These influences are clearly demonstrated in experiments. Moreover, for concrete structures, which exhibit damage and fracture phenomena, the failure mode and cracking pattern depend significantly on loading rate. In general, there is a tendency that with the increase of loading rate the failure mode changes from mode-I to mixed mode. Furthermore, theoretical and experimental investigations indicate that after the crack reaches critical speed of propagation there is crack branching. The present paper focuses on 3D finite-element study of reinforced concrete beams with different amount of shear reinforcement under impact. The experiments reported in literature are numerically simulated using the rate sensitive microplane model as constitutive law for concrete, while the strain-rate influence is captured by the activation energy theory. Inertia forces are implicitly accounted for through dynamic finite element analysis. However, the impact was modeled not by explicit modeling of two bodies but by incrementing the load point displacement till the maximum value and at the rate reported from the test. The results of the numerical study show that the numerical analysis using the procedure followed in this work can very well simulate the impact behavior of reinforced concrete beams. The static and dynamic reactions, crack patterns and failure modes as predicted in analysis are in close agreement with their experimentally observed counterparts. It was concluded that under impact loads, of the order as simulated in this work (blunt impact with velocity of around 1 m/s), the shear reinforcement does not get activated and therefore the dynamic reactions, unlike static reactions, are almost independent of the amount of shear reinforcement in the beams. However, the presence of shear reinforcement significantly affects the crack pattern and the cracks are well distributed in the presence of shear reinforcement, thus avoiding the formation of shear plugs.     

Numerical prediction of concrete slab response to blast loading

In this paper, a dynamic plastic damage model for concrete material has been employed to estimate responses of both an ordinary reinforced concrete slab and a high strength steel fibre concrete slab subjected to blast loading. In the concrete material model, the strength envelope is a damage-based modified piece-wise Drucker–Prager model; the strain rate effect on tension and compression are considered separately; the damage variable is based on Mazars’ damage model, which is a combination of tensile and compressive damage. The equation of state (EOS) is also a combination of the porous and solid EOS of concrete with different forms for tension and compression states. The interaction between the blast wave and the concrete slab is considered in the 3D simulation. In the first stage, the initial detonation and blast wave propagation is modelled in a 2D simulation before the blast wave reaches the concrete slab, then the results obtained from the 2D calculation are remapped to a 3D model. The calculated blast load is compared with that obtained from TM5-1300. The numerical results of the concrete slab response are compared with the explosive tests carried out in the Weapons System Division, Defence Science and Technology Organisation, Department of Defence, Australia. Repetitive applications of blast loading on slabs are also simulated and the results compared with test data.     

Shear behavior model for steel fiber-reinforced concrete members without transverse reinforcements

Due to the complex shear mechanism of steel fiber-reinforced concrete (SFRC) members, there is lack of comprehensive shear behavior models for SFRC members. The shear behavior model, based on a smeared crack model, requires the tensile stress–strain constitutive equation of SFRC membrane subjected to biaxial stresses. After SFRC panel tests under biaxial stresses were recently conducted, it has been possible to create a more complete smeared crack model for estimating the shear behavior of SFRC members. It is, however, very difficult to conduct such experiments for different types of steel fibers, various amount of steel fibers, different ranges of concrete strengths, etc. Thus, in this study, steel fibers are modeled as average direct tensile contribution elements in a modified smeared crack truss model, considering directionality and distribution of fibers. In this way, only simple bond tests are required to reflect the effects of different characteristics of SFRC. In addition, the shear contribution of steel fibers can be obtained considering the bond failure of steel fibers. The proposed model was compared to the test results of 8 SFRC panels and 80 SFRC beams, and the shear behavior of the SFRC members was well estimated.     

Experimental study on the plastic rotation capacity of reinforced high strength concrete beams

This paper describes an experimental study on the plastic rotation capacity of reinforced high strength concrete beams. Thirty-six beams with various compressive strengths of concrete, tensile reinforcement ratios, compressive reinforcement ratios, and patterns of loading (1 point loading and 2-point loading) were tested to evaluate the plastic rotation capacity, extreme fiber concrete compressive strain and equivalent plastic hinge length, etc. The same quantities were also obtained from numerical analysis and compared with experimental data. According to the results, the yield curvatures obtained from experiments turned out to be quite close to those obtained from theoretical approach. However, the experimental results for ultimate curvatures were significantly larger than those of theoretical prediction based on the assumption of ε_cu=0.003. Based on these observations, a new formula for ultimate strain is proposed for high strength concrete beams. Also the test results for plastic rotation capacity were found to be closer to those obtained using moment-curvature relationship considering tension stiffening of concrete and shear effect than those obtained using equivalent plastic hinge length. This substantiates that for accurate evaluation of plastic rotation capacity the consideration of tension stiffening of concrete and shear effect is most important.     

再生混凝土动态直接拉伸的试验研究

利用大直径(75 mm)分离式霍普金森拉杆(SHTB),对再生粗骨料取代率分别为0%、25%、50%、75%和100%的5组圆柱体再生混凝土试样进行应变率范围为100~102s-1的动态直接拉伸实验,研究再生混凝土的动态直接拉伸力学性能及其破坏形态。试验结果表明,再生混凝土的抗拉强度随平均应变率的增加而增大,而再生混凝土的破坏形态与平均应变率有关,这表明再生混凝土具有明显的率敏感性。在相同水灰比下,再生混凝土准静态拉伸强度比普通混凝土低1.3%~15.9%,动态拉伸强度比普通混凝土低1.7%~29%,此研究为再生混凝土的工程应用提供一定的理论依据。     

Investigation on chloride penetration into unsaturated concrete under short-term sustained tensile loading

Knowledge of the transport properties of chloride in unsaturated concrete subjected to sustained tensile loading is essential for evaluating the durability and predicting the service life of reinforced concrete structures. The objective of this study is to fill this gap by correlating the change in water/chloride diffusivity and penetration profiles with an increasing tensile stress level on unsaturated concrete. A theoretical framework for predicting the one-dimensional movement of chloride into unsaturated concrete under tensile stress state, which is closely associated with capillary absorption of water, is presented. An improved test apparatus aimed for the coupled effect of sustained loading and chloride penetration was designed to real-timely measure the amount of water solution absorbed by the cylindrical hollow concrete specimen. A series of chloride transport experiments were conducted on the saturated, half-saturated and fully dried concrete (i.e. ST, HST and DT) respectively subjected to several tensile stress levels (i.e. 10, 20, 30, 40 and 50% of peak tensile strength). Quantitative data on the profiles of chloride penetration into concrete were acquired to validate the proposed theoretical model. The experimental results indicated that the water/chloride diffusivity and the chloride content increase with the increase of tensile stress level in the range of 0–50%. The quantitative relationship between the water/chloride diffusivity and tensile stress level was obtained. On the basis of above analysis, the numerical results of chloride profiles obtained by the proposed model were in good agreement with those of experimental measurement under various tensile stress levels.     

Shear design of reinforced concrete beams with FRP longitudinal and transverse reinforcement

The shear resisting mechanisms of reinforced concrete (RC) beams with longitudinal and transverse FRP reinforcement can be affected by the mechanical properties of the FRP rebars. This paper presents a mechanical model for the prediction of the shear strength of FRP RC beams that takes into account its particularities. The model assumes that the shear force is taken by the un-cracked concrete chord, by the residual tensile stresses along the crack length and by the FRP stirrups. Failure is considered to occur when the principal tensile stress at the concrete chord reaches the concrete tensile strength, assuming that the contribution of the FRP stirrups is limited by a possible brittle failure in the bent zone. The accuracy of the proposed method has been verified by comparing the model predictions with the results of 112 tests. The application of the model provides better statistical results (mean value V_test/V_pred equal to 1.08 and COV of 19.5%) than those obtained using the design equations of other current models or guidelines. Due to the simplicity, accuracy and mechanical derivation of the model it results suitable for design and verification in engineering practice.     

Strain-rate dependence in spot welds: Non-linear behaviour and failure in pure and combined modes I/II

When modelling assemblies for structural crashworthiness computations, fasteners are usually only characterised by their tension and shear strengths. However, for large deformations potentially leading to the failure of the assembly, joints are often loaded in combined modes, and the usual macro models fail to predict the assemblies' non-linear behaviour and rupture. In this paper, an advanced experimental procedure is proposed for testing and modelling spot-welded plates in pure and combined modes I/II under quasi-static and dynamic loading conditions. Obtained using a hydraulic jack and the Split Hopkinson Pressure Bar technique, the experimental results make it possible to analyse the mechanical strength (and the displacement rate dependence) of spot-welded plates. The non-linear behaviour and failure of experimental spot welds were proved to be strain-rate dependent in pure and combined mode I/II loading conditions. Our analysis showed that ultimate strengths in pure modes I and II would be particularly strain-rate dependent. Based on these results, a strain-rate dependent model was developed for ultimate loads in pure opening mode (tensile load) and presented in this paper. A computational approach for building a model for ultimate loads in pure shear mode is also discussed.     

Experiments and mesoscopic modelling of dynamic testing of concrete

Due to their large aggregates size and their heterogeneous microstructure, concretes are difficult materials to test at high strain-rates. Direct tensile tests, spalling tests and edge-on impact experiments have been especially developed and performed on a standard concrete (max grain size of 8 mm). The influence of free water on the high strain rate behaviour has been carefully evaluated. Numerical simulations of dynamic testing have been also performed using a mesoscopic approach in which the matrix and the aggregates are differentiated. Numerical and analytical homogenization methods have been employed to define a model-concrete which fits experimental data of simple and œdometric compression tests. Then, the numerical simulations with several random distributions of aggregates were conducted to validate the processing methods applied to the experimental data of the dynamic tests. Moreover an anisotropic damage model coupled to the mesoscopic approach has been used to simulate the dynamic behaviour of concrete under impact. It allows predicting the increase of strength and cracking density with strain-rate and the free water influence on the dynamic behaviour of concrete.     

Modelling of stress-strain behaviour of plain concrete using a plasticity framework

A constitutive model based on the theory of plasticity is proposed to characterize the stress-strain behaviour of plain concrete under three-dimensional loading. The model incorporates the third stress invariant in the formulation that allows variation of shear strength with the orientation of stress paths on the octahedral plane. Also, it allows variation of the shape of the yield surface on the octahedral plane with confining pressure. An algorithm is developed and used to evaluate the associated material constants in the optimum manner. Stress-strain responses are back-predicted for a number of stress paths using the proposed model and the results are compared with experimental observations. Overall, good agreement between the experimental data and predicted response is obtained.     

Direct determination of cohesive stress transfer during debonding of FRP from concrete

Interface cohesive stress transfer between FRP and concrete during debonding is typically obtained using measured surface strains on the FRP, along the direction of the fibers. The cohesive material law is derived under a set of assumptions which include: (a) the bending stiffness of the FRP laminate is insignificant with respect to that of the concrete test block; (b) the strains in the bulk concrete produced by debonding are negligible, thus concrete substrate can be considered rigid; (c) there is stress transfer between FRP and concrete through the FRP–concrete interface which is of zero thickness; and (d) the axial strain in the FRP composite is uniform across its thickness. In this paper, a test procedure for directly obtaining the through-thickness strains in the FRP and the concrete substrate during cohesive stress transfer associated with debonding is presented. The displacement and strain fields are measured on the side of a direct-shear specimen with the FRP strip attached on the edge. Based on the experimental results, the influence of the assumptions which have been introduced to determine the cohesive law is discussed. Within the stress transfer zone there is a sharp gradient in the shear strain. The location of the interface crack within the stress transfer zone and the cohesive stress transfer during the propagation of the interface crack are determined.     

Analysis of hybrid beams composed of GFRP profiles and polymer concrete

In this paper, a numerical approach for the analysis of a new type of hybrid composite beams is presented. Such beams are composed of composite materials that resist shear and tensile stresses, and polymer concrete acommodating compression stresses.The beams offer an optimized configuration in terms of stiffness and strength, with much potential for mechanical and civil engineering structures.The current numerical model is based on a finite element formulation for layered shell-like structures. The model accounts for a polymer concrete material model, orthotropic material model, and considers the analysis of geometric and material nonlinearities. The first-order shear deformation theory is used in order to describe the shell deformation under a total Lagrangian formulation. The model is validated experimentally and a close agreement with experimental results makes this model an attractive solution method for this type of composite hybrid beams.     

An analytical model for crack control in reinforced concrete elements under combined forces

A rational model for design with crack control of reinforced concrete structures is presented. The model, based on the Softened Truss Theory, allows crack width in reinforced concrete elements under combined axial, flexure, shear and torsion forces to be determined. By calculating the corresponding principal tensile strains, normalized with respect to an appropriate reference value, and by assuming suitable stress–strain relationships, the equilibrium and compatibility conditions are imposed. Thus an appropriate iterative procedure allows strain contour as well as cracking width to be determined. The results obtained are presented in graphs to ease practical and design applications.     

Efficacy of CFRP-based techniques for the flexural and shear strengthening of concrete beams

Near surface mounted (NSM) and externally bonded reinforcement (EBR) strengthening techniques are based on the use of carbon fiber reinforced polymer (CFRP) materials and have been used for the structural rehabilitation of concrete structures. In the present work, the efficacies of the NSM and EBR techniques for the flexural and shear strengthening of reinforced concrete beams are compared carrying out two experimental groups of tests. For the flexural strengthening, the efficacy of applying CFRP laminates according to NSM is compared to those resulting from applying CFRP laminates and wet lay-up CFRP sheets according to EBR technique. The influences of the equivalent reinforcement ratio (steel and laminates) and spacing of the laminates on the efficiency of the NSM technique for the flexural strengthening is also investigated. A numerical strategy is implemented to analyze the applicability of the FRP effective strain concept, proposed by ACI and fib in the design of FRP systems for the flexural strengthening. To assess the efficacy of the NSM technique for the shear strengthening of concrete beams, four beam series of distinct depth and longitudinal tensile steel reinforcement ratio are tested. Each series is composed of one beam without any shear reinforcement and one beam using the following shear reinforcing systems: conventional steel stirrups; strips of wet lay-up CFRP sheet of U configuration applied according to EBR technique; and laminates of CFRP embedded into vertical or inclined (45°) pre-cut slits on the concrete cover of the beam lateral faces, according to the NSM technique. Using the obtained experimental results, the performance of the analytical formulations proposed by ACI, fib and Italian guidelines is appraised.     

Normal perforation of reinforced concrete target by rigid projectile

An analytical model on the normal perforation of reinforced concrete slabs is constructed in the present paper. The effect of reinforcing bars is further hybridized in a general three-stage model consisting of initial crater, tunnelling and shear plugging. Besides three dimensionless numbers, i.e., the impact function I, the geometry function of projectile N and the dimensionless thickness of concrete target χ, which are employed to predict the ballistic performance of perforation of concrete slabs, the reinforcement ratio ρ_s of concrete (or area density) and the tensile strength f_s of reinforcing bars are considered as the other main factors influencing the perforation process. Simpler solutions of ballistic performances of normal perforation of reinforced concrete slabs are formulated in the present paper. Theoretical predictions agree well with individual published experimental data and have a higher degree of accuracy than the model suggested by Dancygier [Effect of reinforcement ratio on the resistance of reinforced concrete to hard projectile impact. Nucl Eng Des 1997;172:233–45].