Strain-rate effect on initial crush stress of irregular honeycomb under dynamic loading and its deformation mechanism

The seemingly contradictory understandings of the initial crush stress of cellular materials under dynamic loadings exist in the literature, and a comprehensive analysis of this issue is carried out with using direct information of local stress and strain. Local stress/strain calculation methods are applied to determine the initial crush stresses and the strain rates at initial crush from a cell-based finite element model of irregular honeycomb under dynamic loadings. The initial crush stress under constant-velocity compression is identical to the quasi-static one, but less than the one under direct impact, i.e. the initial crush stresses under different dynamic loadings could be very different even though there is no strain-rate effect of matrix material. A power-law relation between the initial crush stress and the strain rate is explored to describe the strain-rate effect on the initial crush stress of irregular honeycomb when the local strain rate exceeds a critical value, below which there is no strain-rate effect of irregular honeycomb. Deformation mechanisms of the initial crush behavior under dynamic loadings are also explored.The deformation modes of the initial crush region in the front of plastic compaction wave are different under different dynamic loadings.

Numerical Derivation of Strain Rate Effects on Material Properties of Masonry with Solid Clay Bricks

In this paper, numerical method is used to study the strain rate effect on masonry materials. A typical unit of masonry is selected to serve as a representative volume element (RVE). Numerical model of RVE is established with detailed distinctive modeling of brick and mortar with their respective dynamic material properties obtained from laboratory tests. The behavior of brick and mortar are characterized by a dynamic damage model that accounts for rate-sensitive and pressuredependent properties of masonry materials. Dynamic loads of different loading rates are applied to RVE. The equivalent homogenized uniaxial compressive strength, threshold strain and elastic modulus in three directions of the masonry are derived from the simulated responses of the RVE. The strain rate effect on the masonry material with clay brick and mortar, such as the dynamic increase factor (DIF) of the ultimate strength and elastic modulus as a function of strain rate are derived from the numerical results.

Effects of Temperature and Strain Rate on Dynamic Properties of Concrete

To study the dynamic properties of the concrete subjected to impulsive loading, stress-time curves of concrete in different velocities were measured using split Hopkinson pressure bar (SHPB).Effects of temperature and strain rate on the dynamic yield strength and constitutive relation of the con-crete were analyzed. The dynamic mechanical properties of the reinforced concrete are subjected to high strain rates when it is at a relatively low temperature. But with temperature increasing, the temperature softening effect makes the strength of the concrete weaken and the impact toughness of the concrete is saliently relative to strain rate effect. So, strain rate effect, strain hardening and temperature softening work together on the dynamic mechanical capability of concrete and the relation between them is relatively complex.

Modeling Strain Rate Effect for Heterogeneous Brittle Materials

Rocks are heterogeneous from the point of microstructure which is of significance to their dynamic failure behavior. Both the compressive and tensile strength of rock-like materials is regarded different from the static strength. The present study adopts smoothed particle hydrodynamics (SPH) which is a virtual particle based meshfree method to investigate strain rate effect for heterogeneous brittle materials. The SPH method is capable of simulating rock fracture, free of the mesh constraint of the traditional FEM and FDM models. A pressure dependent J-H constitutive model involving heterogeneity is employed in the numerical modeling. The results show the compressive strength increases with the increase of strain rate as well as the tensile strength, which is important to the engineering design.

Experimental investigation of rigid confinement effects of radial strain on dynamic mechanical properties and failure modes of concrete

In this study,to confirm the effect of confining pressure on dynamic mechanical behavior and failure modes of concrete,a split Hopkinson pressure bar dynamic loading device was utilized to perform dynamic compressive experiments under confined and unconfined conditions.The confining pressure was achieved by applying a lateral metal sleeve on the testing specimen which was loaded in the axial direction.The experimental results prove that dynamic peak axial stress,dynamic peak lateral stress,and peak axial strain of concrete are strongly sensitive to the strain rate under confined conditions.Moreover,the failure patterns are significantly affected by the stress-loading rate and confining pressure.Concrete shows stronger strain rate effects under an unconfined condition than that under a confined condition.More cracks are created in concrete subjected to uniaxial dynamic compression at a higher strain rate,which can be explained by a thermal-activated mechanism.By contrast,crack generation is prevented by confinement.Fitting formulas of the dynamic peak stress and dynamic peak axial strain are established by considering strain rate effects(50–250 s-1)as well as the dynamic confining increase factor(DIFc).

Dependence of flow strength and deformation mechanisms in common wrought and die cast magnesium alloys on orientation,strain rate and temperature

The controlling plastic deformation mechanisms(i.e.slip or twinning)and the structural crash performance of Mg alloys are strongly influenced by loading mode,texture and microstructure.This paper summarizes the main results from an experimental program to assess these effects for commercial Mg alloy extrusions(AM30 and AZ31),sheet(AZ31),and high pressure die castings(HPDC,AM50 and AM60).Uniaxial tensile and compressive tests were performed over a wide range of strain rate and temperature(i.e.0.00075–2800 s^(−1) and 100℃ to−150℃)using conventional servo-hydraulic and high-strain-rate universal test machines and a split-Hopkinson-bar(SHB)apparatus.In primarily-slip-dominant deformation,the true stress–strain curves showed approximate power-law behavior,and the effects of strain rate and temperature on yield strength could be approximately described by constitutive equations linearly dependent on the rate parameter,Tln(5.3×10^(7)/ɛ˙)where T is test temperature in Kelvin andɛ˙is strain rate in s^(−1).In primarily-twin-dominant deformation,the effects of strain rate and temperature on yield and initial flow stress were negligible or small from quasi-static to 2800 s^(−1) owing to the athermal characteristics of mechanical twinning;the effects may become more pronounced with exhaustion of twinning and increasing proportion of slip.

Study on the Dynamic Behavior of Tungsten Alloy at Strain Rates up to 5 000 s^(-1)

The dynamic stress-strain curves of 93% tungsten (W) alloy in the forged state at strain rates up to (5 000 s^(-1)) and in the temperature range from 223 K to 473 K were measured with the split Hopkinson pressure bar (SHPB) technique. Based on the above experimental data a dynamic constitutive equation considering the effects of strain rate, temperature and the special microstructure of such a kind of W-alloy was proposed. The numerical simulation for the experimental process with this constitutive equation was also carried out, the results show that the constitutive relationship constructed in this paper is very satisfactory for representing the dynamic responsive behavior of material..

Complete splitting process of steel fiber reinforced concrete at intermediate strain rate

The complete splitting process of steel fiber reinforced concrete(SFRC)at intermediate strain rate was studied by experiment.The basic information of a self-developed SFRC dynamic test system matching with Instron 1342 materials testing machine was given,and the experiment principle and the loading mode of cubic split specimen were introduced.During the experiment,30 cubes of 150 mm×150 mm×150 mm and 36 cubes of 100 mm×100 mm×100 mm,designed and prepared according to C20 class SFRC with different volume fractions of steel fiber(0,1%,2%,3%,4%)were tested and analyzed.At the same time,the size effect of SFRC at intermediate strain rate was investigated.The experimental study indicates that SFRC size effect is not influenced by the loading speed or strain rate.When the steel fiber content increases from 0 to 4%,the splitting strength of SFRC increases from 100%to 261%,i.e.increasing by 161%compared with that of the common concrete.The loading rate increases from 1.33 kN/s to 80.00 kN/s,and the splitting tensile strength increases by 43.55%.

CYCLIC VISCOPLASTIC DESCRIPTION FOR THE MEAN STRAIN EFFECT

A viscoplastic constitutive model incorporating the cyclic deformation be-havior with mean strain is presented. In the model,a memory parameter q of strainamplitude is proposed,the evolution equations of back stresses are formulated,an ap-propriate defini

Constitutive model depending upon temperature and strain rate of carbon constructional quality steels

The basic factors relating to the rheological stress in the constitutive equations were introduced.Carbon constructional quality steels were regarded as a kind of elastic-viscoplastic materials under high temperature and the elastic-viscoplastic constitutive models were summarized.A series of tension experiments under the same temperature and different strain rates,and the same strain rate and different temperatures were done on 20 steel,35 steel and 45 steel.52 groups of rheological stress-strain curves were obtained.The experimental results were analyzed theoretically.The rheological stress constitutive models of carbon steels were built combining the strong points of the Perzyna model and Johnson-Cook model.Comparing the calculation results conducted from the model with the experiment results,the results proves that the model can reflect the temperature effect and strain rate effect of carbon constructional quality steels better.

Physically-based modeling for hole scattering rate in strained Si_(1-x) Ge_x/(100)Si

Based on the Fermi's golden rule and the theory of Boltzmann collision term approximation, a physically-based model for hole scattering rate(SR) in strained Si1-x Gex/(100)Si was presented, which takes into account a variety of scattering mechanisms,including ionized impurity, acoustic phonon, non-polar optical phonon and alloy disorder scattering. It is indicated that the SRs of acoustic phonon and non-polar optical phonon decrease under the strain, and the total SR in strained Si1-x Gex/(100)Si also decreases obviously with increasing Ge fraction(x). Moreover, the total SR continues to show a constant tendency when x is less than 0.3. In comparison with bulk Si, the total SR of strained Si1-x Gex/(100) Si decreases by about 58%.

冻融循环下砂岩的动态劈裂特性与应变演变机理

为了研究冻融循环条件下砂岩的动态拉伸力学性能,利用分离式霍普金森压杆(SHPB)试验系统并结合高速数字图像相关技术(DIC),对冻融循环0次、10次、20次、40次的砂岩试件进行不同冲击速度下的动态劈裂试验,研究分析了不同冻融循环次数下冻结砂岩在动态拉伸应力下的强度特征、变形过程与破坏形态。结果表明:不同冻融循环作用下冻结砂岩与普通砂岩的动态拉伸曲线有着相似的应力发展特点,分为低速增长段、高速增长段、峰值平台段和降低段;冻岩的拉伸峰值应力与应力加载速率呈线性关系,与冻融循环次数之间呈现出先增大后减小的趋势;在相同打击强度下,4种冻融循环次数(N)的冻岩试件中心处拉伸应变大小依次为40次、20次、0次、10次,具有一定的冻融循环效应。

Kevlar29纱线动态拉伸力学性能与本构方程

为了能够清晰地表征芳纶纱线在不同应变率下的力学行为,进行了Kevlar29纱线的准静态和动态拉伸试验,结合分离式霍普金森拉杆理论和运动目标追踪法,获得了Kevlar29纱线在不同应变率下的应力-应变曲线,分析了纱线动态拉伸的变形与断裂过程,揭示了Kevlar29纱线力学性能的应变率效应;通过最小二乘法拟合得到了基于纱线应变率效应的黏弹性本构方程,分析了三元件和五元件本构模型的差异及适用性。结果表明:随着应变率升高,Kevlar29纱线的断裂应变减小,拉伸强度和韧性先增大后减小,拉伸模量先增大后趋于稳定;五元件黏弹性本构模型能够较好地表征纱线力学性能的应变率效应。

考虑微裂纹随机分布的堆石颗粒准静态强度统计模型

材料内部裂纹尺寸、形状、转向和空间位置的随机分布对其强度有直接的影响。为了研究地震准静态荷载作用下堆石颗粒强度与尺寸和应变率的统计关系,在最弱链理论的框架下假设颗粒内部裂纹的尺寸和空间位置均服从幂律分布,建立了由颗粒累积破坏概率和体积构成的复合参数与强度的关系。从微观角度应变率效应提高了内部裂纹的强度,降低了单位体积的失效概率,同时使裂纹的空间位置分布更稀疏,减弱了颗粒强度的尺寸效应。不同加载速率的颗粒破碎试验结果表明:随着加载速率的增大,存在逐渐减小的空间分布幂指数使颗粒复合参数汇集在由最弱链统计模型决定的主曲线上。

不同密度硬质聚氨酯泡沫的力学性能和本构关系

目的不同密度的硬质聚氨酯泡沫(RPUF)适用于不同的工程应用,通过对不同密度RPUF力学性能开展研究,并对现有的本构模型加以修正,得到材料真实的本构关系。方法通过开展不同密度RPUF材料的准静态压缩实验(0.001 s^(−1))及不同加载速率(100~1000 s^(−1))下的动态压缩力学性能实验,得到材料的应力-应变曲线,在此基础上分析RPUF材料的密度效应及应变率敏感性,得到其真实本构关系。结果RPUF材料力学性能受到密度和应变率的耦合影响,随着密度以及应变率的增大,RPUF材料的屈服应力呈指数函数形式增大;给出了RPUF材料屈服应力与应变率及密度之间的函数关系式。结论得到了基于实验数据以及横向惯性效应修正后的Sherwood-Frost模型(M-S-F模型),研究结果可为RPUF材料在抗冲击方面的工程应用提供指导。

PVA纤维增强珊瑚混凝土静动态力学性能试验研究

为增强珊瑚混凝土的力学性能,对其进行了5种聚乙烯醇纤维体积分数(0、0.5%、1%、1.5%和2%)条件下的静态力学试验,并采用直径为100 mm的分离式霍普金森杆研究其在4种应变率下的冲击压缩性能。结果表明:掺入适量纤维能明显提高混凝土静态抗压强度与劈裂抗拉强度;动态力学试验表明珊瑚混凝土具有明显的应变率效应,加入纤维后能提高动态增强因子对应变率的敏感性,增强效果在纤维掺量为1.5%时趋于饱和;纤维在混凝土中起到了阻裂与耗能的作用,能明显地改善混凝土的破坏形态与冲击韧性。

计及温度与应变率效应的超高分子量聚乙烯纤维束的拉伸力学性能

文中针对超高分子量聚乙烯(UHMWPE)纤维束在计及温度(-60~80℃)和应变率(1×10^(-5)~3.3×10^(-2)s^(-1))的25种工况下,基于轴向拉伸实验数据,研究了UHMWPE纤维束力学性能的温度和应变率效应及其破坏模式。结果表明,UHMWPE纤维束的力学性能具有一定的应变率和温度效应,但后者具备更为强大的影响力,其使UHMWPE纤维束在温度高于50℃时强度产生显著下降;此外,低温在提升UHMWPE纤维束拉伸强度的同时也会削弱其力学性能的应变率效应,在-40~-60℃范围内,UHMWPE纤维束拉伸强度和失效应变基本不受应变率影响。在UHMWPE纤维束的损伤破坏模式研究中发现,在脆-韧性转变存在的温度区间内(25~80℃),转变发生的临界应变率与温度之间具有密切联系,温度每升高约30℃,临界应变率就会提升1个量级。

酸碱盐腐蚀下聚脲静动态力学性能劣化规律

将聚脲材料浸泡在质量分数为5%的H_(2)SO_(4)、NaOH和NaCl三种溶液中,考察了极端条件下聚脲的力学性能和防护性能。利用GL-028型试验机与分离式霍普金森压杆进行力学性能试验,得到其在不同应变率下的应力-应变曲线,分析了聚脲材料在不同环境中浸泡前后的力学性能变化规律。结果表明:聚脲材料具有优良的耐盐、碱性能,对酸性环境比较敏感,经过酸性环境浸泡后,其拉伸强度与峰值应力分别降低了34.45%与20.3%;随着浸泡时间延长,聚脲材料的弹性模量与应力值呈增长趋势,表现出一定的依时性效应。形貌观察结果表明,其未发现明显破坏,显示出优异的耐腐蚀性能。

S500MC钢本构模型及其在吸能结构中的应用

首先对S500MC钢进行准静态拉伸和动态冲击试验,获得不同应变率下材料应力-应变关系;其次分别采用J-C本构模型、修正J-C本构模型和C-S本构模型描述S500MC钢的动态力学性能,基于试验结果标定了本构模型参数,并对3种模型准确性进行了验证;最后基于薄壁结构吸能过程仿真,研究J-C模型和C-S模型对结构吸能响应的影响。结果表明:S500MC钢具有明显的应变率强化效应,修正J-C本构模型和C-S本构模型均能较好描述其动态力学特性,在不同冲击速度下,考虑应变率效应时,结构比吸能提高1.46%~9.95%,平均压溃力增加5.36%~11.04%。

基于3D细观模型的混凝土动态压缩行为分析

通过建立混凝土的3D细观模型,在细观尺度上分析动态压缩荷载作用下混凝土材料内部裂缝的产生和发展、损伤演化和动态强度及其影响因素。首先,基于传统的“生成-投放”法生成粒径、形状和空间分布均随机的凸多面体粗骨料模型,并通过骨料沉降和粒径缩放实现粗骨料的大体积率(达50%)和可调控;使用四面体网格划分骨料和砂浆表征其真实物理形状;使用界面粘结接触表征界面过渡区(ITZ)提升计算效率。进一步通过对比不同粗骨料粒径混凝土的分离式霍普金森压杆(SHPB)试验数据与模拟结果,如杆上应变时程、试件动态应力-应变曲线和试件损伤破坏模式,验证了建立的混凝土3D细观有限元模型、参数确定方法和数值仿真方法的准确性。最后,分析了30~100 s^(-1)应变率范围内骨料粒径(4~8、10~14和22~26 mm)、体积率(20%、30%和40%)和类型(石灰岩、花岗岩和玄武岩)对混凝土动态压缩强度的影响。结果表明:粗骨料粒径增大,混凝土动态压缩强度先增大后减小;粗骨料体积率越高,混凝土动态压缩强度越大;混凝土动态压缩强度随粗骨料强度的增加而提高。