A coupled damage–plasticity model for concrete based on thermodynamic principles: Part I: model formulation and parameter identification

The development of a coupled damage‐plasticity constitutive model for concrete is presented. Emphasis is put on thermodynamic admissibility, rigour and consistency both in the formulation of the model, and in the identification of model parameters based on experimental tests. The key feature of the thermodynamic framework used in this study is that all behaviour of the model can be derived from two specified energy potentials, following procedures established beforehand. Based on this framework, a constitutive model featuring full coupling between damage and plasticity in both tension and compression is developed. Tensile and compressive responses of the material are captured using two separate damage criteria, and a yield criterion with a multiple hardening rule. A crucial part of this study is the identification of model parameters, with these all being shown to be identifiable and computable based on standard tests on concrete. Behaviour of the model is assessed against experimental data on concrete. Copyright © 2007 John Wiley & Sons, Ltd.     

Anisotropic model of damage for geomaterials and concrete

A damage model for geomaterials and concrete is proposed. This model expresses the anisotropic character induced by the degradation of material. The law of behavior obtained by differentiation of the free energy shows the dissymmetry effect observed in traction–compression loading and the residual strains caused by the damage. The present approach requires the identification of a reduced number of parameters having a clear physical significance. An application to the case of the uniaxial traction–compression loading shows a good adequacy with the experimental observations. Copyright © 2010 John Wiley & Sons, Ltd.     

Review and enhancement of 3D concrete models for large‐scale numerical simulations of concrete structures

The present paper focuses on selected plasticity and damage‐plasticity models for describing the 3D material behavior of concrete. In particular, a plasticity model and a damage‐plasticity model are reviewed and evaluated. Based on the results of the evaluation, enhancements are proposed, aiming at improving the correspondence between predicted and observed material behavior and aiming at implementing a robust and efficient stress update algorithm in a finite element program for performing large‐scale 3D numerical simulations of concrete structures. The capabilities of the concrete models are demonstrated by 3D numerical simulations of benchmark tests with combined bending and torsional loading and combined compression and shear loading and by a large‐scale 3D finite element analysis of a model test of a concrete arch dam. Copyright © 2011 John Wiley & Sons, Ltd.     

基于Coulomb准则的混凝土塑性损伤本构模型及其数值验证

以连续介质不可逆热力学为基础,采用了Mohr-Coulomb屈服准则,提出混凝土塑性损伤耦合的新的本构方程。在该模型中采用了塑性应变 、各向同性损伤标量D作为内变量。这个新的本构关系模型严格满足热力学的基本方程。以不同围压作用下混凝土试件的单轴压缩行为为例,采用开发的程序进行了局部水平上本构模型数值验证。结果表明,模型损伤演化数值结果符合试验趋势。     

Experimental analysis of compaction of concrete and mortar

Compaction of concrete is physically a collapse of the material porous microstructure. It produces plastic strains in the material and, at the same time, an increase of its bulk modulus. This paper presents two experimental techniques aimed at obtaining the hydrostatic response of concrete and mortar. The first one is a uniaxial confined compression test which is quite simple to implement and allows to reach hydrostatic pressures of about 600 MPa. The specimen size is large enough so that concrete with aggregate sizes up to 16 mm can be tested. The second one is a true hydrostatic test performed on smaller (mortar) specimens. Test results show that the hydrostatic response of the material is elasto‐plastic with a stiffening effect on both the tangent and unloading bulk moduli. The magnitude of the irreversible volumetric strains depends on the initial porosity of the material. This porosity can be related in a first approximation to the water/cement ratio. A comparison of the hydrostatic responses obtained from the two testing techniques on the same material show that the hydrostatic response of cementitious materials cannot be uncoupled from the deviatoric response, as opposed to the standard assumption in constitutive relations for metal alloys. This feature should be taken into account in the development of constitutive relations for concrete subjected to high confinement pressures which are needed in the modelling of impact problems. Copyright © 2001 John Wiley & Sons, Ltd.     

空气间隔装药爆炸冲击荷载作用下混凝土损伤分析

采用JHC混凝土损伤演化模型,模拟计算了不同空气间隔装药结构情况下炮孔近区岩石损伤破坏机制,分析了空气层比例以及起爆方式对爆破效果的影响。计算表明,不同空气层位置及比例会产生不同的爆破效果,并能运用于不同的爆破目的。空气层比例与炮孔粉碎区大小成反比,空气比较小时可以用于梯段爆破,而空气比较大时可用于预裂或光面爆破。对于梯段爆破、反向起爆（空气层位于上部）和中间起爆（空气层位于中间）的效果要好;起爆方式对梯段爆破效果的影响要比预裂和光面爆破效果明显。     

A rate‐dependent cohesive crack model based on anisotropic damage coupled to plasticity

In quasi‐brittle material the complex process of decohesion between particles in microcracks and localization of the displacement field into macrocracks is limited to a narrow fracture zone, and it is often modelled with cohesive crack models. Since the anisotropic nature of the decohesion process in separation and sliding is essential, it is particularly focused in this paper. Moreover, for cyclic and dynamic loading the unloading, load reversal (including crack closure) and rate dependency are essential features that are included in a new model. The modelling of degradation is based on a ‘localized’ version of anisotropic continuum damage coupled to inelasticity. The concept of strain energy equivalence between the states in the effective and nominal settings is adopted in order to define the free energy of the interface. The proposed fracture criterion is of the Mohr type, with a smooth transition of the failure and kinematics (slip and dilatation) characteristics between tension and shear. The chosen potential, of the Lemaitre‐type, for evolution of the dissipative processes is additively decomposed into plastic and damage parts, and non‐associative constitutive equations are obtained. The constitutive equations are integrated by applying the backward Euler rule and by using Newton iteration. The proposed model is assessed analytically and numerically and a typical calibration procedure for concrete is proposed. Copyright © 2006 John Wiley & Sons, Ltd.     

浅析传统塑性位势理论与广义塑性位势理论

就传统塑性位势理论与广义塑性位势理论(考虑和不考虑应力主轴旋转两种情况下)进行了系统的综述与比较。两种位势理论就解决金属与岩土变形机制问题均获得了很大的成功(尤其是后者);浅析了广义塑性位势理论遇到的困境和发展前景。     

混凝土渠道冻胀破坏机制与抗冻技术研究进展

在我国寒冷地区混凝土渠道破坏主要表现为冻胀破坏,如何防治混凝土渠道冻胀破坏成为一个非常现实的工程问题.随着混凝土渠道抗冻技术的发展,对这一问题的研究愈加深入.从土体冻胀机制、水分冻移机制及混凝土衬砌体冻胀破坏机制等方面较深入地分析了混凝土渠道冻胀破坏的机制,总结了我国近年来混凝土渠道冻胀力学模型和抗冻技术的前沿研究成果,并对目前研究工作中存在的不足进行了一定的评价,讨论了今后应进一步开展研究的若干问题,为我国寒区混凝土渠道的加固改造建设提供一定的参考价值.     

Experimental study and constitutive modelling of elasto‐plastic damage in heat‐treated mortar

This study investigates the effect of a heat‐treatment upon the thermo‐mechanical behaviour of a model cement‐based material, i.e. a normalized mortar, with a (w/c) ratio of 0.5. First, a whole set of varied experimental results is provided, in order to either identify or validate a thermo‐mechanical constitutive model, presented in the second paper part. Experimental responses of both hydraulic and mechanical behaviour are given after different heating/cooling cycling levels (105, 200, 300, 400^°C). The reference state, used for comparison purposes, is taken after mass stabilization at 60^°C. Typical uniaxial compression tests are provided, and original triaxial deviatoric compressive test responses are also given. Hydraulic behaviour is identified simultaneously to triaxial deviatoric compressive loading through gas permeability K_gas assessment. K_gas is well correlated with volumetric strain evolution: gas permeability increases hugely when ε_v testifies of a dilatant material behaviour, instead of contractile from the test start. Finally, the thermo‐mechanical model, based on a thermodynamics approach, is identified using the experimental results on uniaxial and triaxial deviatoric compression. It is also positively validated at residual state for triaxial deviatoric compression, but also by using a different stress path in lateral extension, which is at the origin of noticeable plasticity. Copyright © 2009 John Wiley & Sons, Ltd.     

Nonlinear dynamic analysis of reinforced concrete frames

This paper presents the theoretical and computational procedure for nonlinear dynamic analysis of reinforced concrete frames under seismic excitations. In the research, physical nonlinearity due to material behavior is introduced for reinforced concrete material and the connection between the material and geometrical nonlinearity is described. An integration procedure for dynamic analysis, based on a step-by-step method with optional iteration, is presented. Results for a series of example analyses are presented to demonstrate the capabilities of the computer program.     

Gradient plasticity modelling of strain localization in granular materials

The flow stress in the yield surface of plastic constitutive equation is modified with a higher order gradient term of the effective plastic strain to model the effect of inhomogeneous deformation in granular materials. The gradient constitutive model has been incorporated into the finite element code ABAQUS and used to simulate biaxial shear tests on dry sand. It is shown that the shape of the post-peak segment of the load displacement curve predicted by the numerical analysis is dependent on the mesh size when gradient term is not used. Use of an appropriate gradient coefficient is shown to correct this and predict a unique shape of the load displacement curve regardless of the mesh size. The gradient coefficient required turns out to be approximately inversely proportional to the mesh elemental area. Use of the strain gradient term is found to diffuse the concentration of plastic strains within shear band resulting in its consistent width. The coefficient of the higher gradient term appears as a function of the grain size, the mean confining stress, and the plastic softening modulus. Copyright © 2004 John Wiley & Sons, Ltd.     

地震作用下丰满重力坝的塑性损伤

基于混凝土塑性损伤本构模型,将可以表征材料和结构渐进破坏的损伤变量作为内变量,考虑了混凝土拉压异性的损伤变量,利用有限元软件ABAQUS,对丰满混凝土重力坝在经受地震作用下的结构损伤区域的发展变化进行安全性评价。在数值计算过程中,对于受地震荷载作用所引起的地面水平运动而导致大坝水位水平运动对坝体的影响,通过扩充后的广义Westergaard公式予以计算模拟。通过分析得到了丰满大坝在地震作用下的塑性损伤破坏情况,并评价了丰满大坝的安全性,亦说明利用损伤力学对大坝进行安全性评价是一个可行的方法。     

裂隙岩体非稳态渗流场与损伤场耦合分析模型

本文从流体扩散能量迭加原理,建立了裂隙岩体介质的渗流张量解析表达式,综合应用断裂力学与损伤理论,探讨了复杂应力状态下裂隙岩体的本构关系以及压裂裂纹的起裂准则,建立了裂隙岩体在压剪,拉剪应力状态下损伤演化方程,提出了渗透张量随裂隙损伤发展的关系以及裂隙岩体非稳态渗流场与与损伤场耦合模型。     

Coupling between progressive damage and permeability of concrete: analysis with a discrete model

A significant increase of the permeability of concrete upon micro‐cracking and a good correlation between the evolution of damage (material stiffness) and permeability are observed experimentally. The present contribution investigates this correlation theoretically, with the help of lattice analyses. Scaling analysis of lattices which contain elastic brittle bonds has shown that the material degradation should be described by the evolution of the material stiffness, or compliance, in a continuum setting (damage models). This result is reviewed and further documented in the first part of the paper. In the second part, hydro‐mechanical problems are considered with the construction of a hydraulic lattice, dual to the mechanical one. We observe that the average permeability upon micro‐cracking is the lattice scale‐independent controlling variable in the hydraulic problem. Additionally, results show that in a continuum poro‐mechanical approach, the evolution of the material permeability ought to be related to the elastic unloading stiffness, described e.g. with the help of continuum damage variables. Copyright © 2005 John Wiley & Sons, Ltd.     

Implementation of a coupled plastic damage distinct lattice spring model for dynamic crack propagation in geomaterials

This paper studies dynamic crack propagation by employing the distinct lattice spring model (DLSM) and 3‐dimensional (3D) printing technique. A damage‐plasticity model was developed and implemented in a 2D DLSM. Applicability of the damage‐plasticity DLSM was verified against analytical elastic solutions and experimental results for crack propagation. As a physical analogy, dynamic fracturing tests were conducted on 3D printed specimens using the split Hopkinson pressure bar. The dynamic stress intensity factors were recorded, and crack paths were captured by a high‐speed camera. A parametric study was conducted to find the influences of the parameters on cracking behaviors, including initial and peak fracture toughness, crack speed, and crack patterns. Finally, selection of parameters for the damage‐plasticity model was determined through the comparison of numerical predictions and the experimentally observed cracking features.     

风积沙轻骨料混凝土冻融损伤及寿命预测研究

基于浮石轻骨料混凝土为基础, 将不同质量的风积沙作为细骨料替代部分河砂, 研究风积沙轻骨料混凝土冻融损伤机理及服役寿命. 通过室内快速冻融循环试验, 定量分析风积沙轻骨料混凝土的抗冻耐久性能. 在整个冻融循环期内, 相对动弹性模量的变化规律可分为直线下降阶段、 直线+曲线下降阶段、 曲线下降阶段. 以此为基础, 建立轻骨料混凝土直线和曲线双段式相对动弹性模量衰减方程, 依据5组混凝土的抗冻试验结果对方程进行了验证, 并预测其在西部地区的服役寿命. 结果表明: 直线和曲线双段式的相对动弹性模量衰减方程能够准确的反应混凝土冻融损伤劣化规律. 风积沙最优替代率为20%, 可以满足25 a的使用寿命. 损伤模型可为沙漠地区混凝土使用提供一定的理论依据.     

Non‐local damage modelling of concrete: a procedure for the determination of model parameters

This paper presents a procedure for the determination of parameters of non‐local damage models. This is to assure a consistent response of a non‐local damage model, as choice of the internal length and other parameters of the model are varied. Correlations between the internal length and other parameters governing the local constitutive behaviour of the model are addressed and exploited. Focus is put on the relationship between the internal length of the non‐local model and the width of the fracture process zone. Numerical examples are used to demonstrate the rigour of the proposed method. Copyright © 2006 John Wiley & Sons, Ltd.     

冻融与酸雨侵蚀共同作用下混凝土损伤分析

进行了快速冻融和酸雨侵蚀作用下的混凝土室内模拟试验, 研究了冻融和酸雨侵蚀作用下混凝土的质量损失和相对动弹性模量变化规律. 试验结果表明, 混凝土在冻融-酸雨复合环境下的损伤大于冻融作用下的损伤. 通过分析研究, 建立了冻融循环和酸雨侵蚀共同作用下不同水胶比混凝土的质量损失与冻融循环次数的函数关系及冻融与酸雨腐蚀共同作用下混凝土损伤演化方程, 为冻融环境混凝土结构耐久性设计与评估奠定了基础.