An energy-equilibrium model for complex stress effect on fatigue crack initiation

Based on Tanaka and Mura’s fatigue model and Griffith theory for fracture,an energy-equilibrium model was proposed to explain the complex stress effect on fatigue behavior.When the summation of the elastic strain energy release and the stored strain energy of accumulated dislocations reach the surface energy of a crack,the fatigue crack will initiate in materials.According to this model,for multiaxial stress condition,the orientation of the crack initiation and the initiation life can be deduced from the energy equilibrium equation.For the uniaxial fatigue loading with mean stress,the relation between the maximum stress or the minimum stress and the stress amplitude is in agreement with an ellipse equation on the constant life diagram.If the ratio of the mean stress to stress amplitude is less than a critical value-0.17,and the stress amplitude keeps constant,the fatigue crack initiation life will decrease with the increase of the compress mean stress.In this model,the mean stress does not cause damage accumulation with the fatigue cycles in crack initiation.For this reason,the loading sequence of different load levels would induce the cumulative damage to deviate from the Palmgren-Miner cumulative damage rule.The procedure of estimating the damage under random loading is also discussed.     

Simultaneous determination of mean pressure and deviatoric stress based on numerical tensor analysis: a case study for polycrystalline x-ray diffraction of gold enclosed in a methanol-ethanol mixture

It is known that the {100} and {111} planes of cubic crystals subjected to uniaxial deviatoric stress conditions have strain responses that are free from the effect of lattice preferred orientation. By utilizing this special character, one can unambiguously and simultaneously determine the mean pressure and deviatoric stress from polycrystalline diffraction data of the cubic sample. Here we introduce a numerical tensor calculation method based on the generalized Hooke's law to simultaneously determine the hydrostatic component of the stress (mean pressure) and deviatoric stress in the sample. The feasibility of this method has been tested by examining the experimental data of the Au pressure marker enclosed in a diamond anvil cell using a pressure medium of methanol-ethanol mixture. The results demonstrated that the magnitude of the deviatoric stress is ～0.07?GPa at the mean pressure of 10.5?GPa, which is consistent with previous results of Au strength under high pressure. Our results also showed that even a small deviatoric stress (～0.07?GPa) could yield a ～0.3?GPa mean pressure error at ～10?GPa.     

Progress in the physics of complex networks

Current research investigating the thermo-mechanical behavior of materials at elevated and high loading conditions is performed on two major branches: one is concerned with the elastic, plastic and failure behavior of materials described by constitutive relations in the deviatoric stress space. The other branch is focused on the shock wave formation and propagation where the hydrostatic stress represented by an Equation of State is of primary interest.     

Effect of heat treatment and elastoplastic deformation on magnetic properties of 50Ni2Mo powder steel

The paper studies the effect of heat treatment modes and uniaxial tension on the magnetic properties, internal stress and specific resistance of 50Ni2Mo powder steel. It is shown that when treated and mechanically loaded in the elastic range and weak magnetic fields, the steel reveals anomalous behavior of its magnetic characteristics such as coercive force, maximum permeability and residual induction. The observed anomalous behavior is analyzed in the framework of physical mesomechanics and is associated with porosity of the powder material. It is demonstrated that physical mesomechanics and magnetic measurements hold promise as an efficient tool of research in porous ferromagnetic materials in various effective external fields. The thus studied magnetic characteristics allow efficient control of heat treatment modes of 50Ni2Mo powder steel.     

Continuum damage mechanics for sintered powder metals

Sintered metals are characterized by the high porosity(8%)and voids/micro-cracks in microns.Inelastic behavior of the materials is coupled with micro-crack propagation and coalescence of open voids.In the present work the damage evolution of the sintered iron under multi-axial monotonic loading conditions was investigated experimentally and computationally.The tests indicated that damage of the sintered iron initiated already at a stress level much lower than the macroscopic yield stress.The damage process can be divided into the stress-dominated elastic damage and the plastic damage described by the plastic strain.Based on the uniaxial tensile tests an elastic-plastic continuum damage model was developed which predicts both elastic damage and plastic damage in the sintered iron under general multi-axial monotonic loading conditions.Computational predictions agree with experiments with different multi-axial loading paths.A phenomenological continuum damage model for the sintered metal is developed based on the experimental observations to predict the inelastic behavior and damage process to failure under multi-axial loading conditions.The proposed damage model is experimentally verified under different loading conditions.     

Dependence of the metastability of the magnetic states of two-phase nanoparticles on mechanical stress

The influence of mechanical stress on the magnetic states of multiaxial heterophase magnetic materials is investigated using a model of two-phase nanoparticles. The range of critical fields for the reversal of the magnetic moments of phases is calculated and phase diagrams are built to assess the effect of interface exchange interaction and mechanical stress on the metastability of the magnetic states of two-phase nanoparticles.     

多孔材料在压缩载荷作用下的剪切破坏模式分析

压缩行为是工程材料最为基本的力学性能之一. 本文通过简化结构模型分析了各向同性的三维网状高孔率多孔材料在压缩载荷作用下的破坏模式,其中包括单向压缩、双向压缩和三向压缩等三种承载情形. 在此基础上,得出了这种多孔体受压破坏源于剪切断裂模式时名义主应力与孔率之间的数理关系. 结果表明,该类材料承受压缩载荷时的破坏模式与其材质的种类有关,脆性材质多孔体的孔棱呈拉断破坏模式,而韧性材质多孔体的孔棱则可能出现剪切断裂的破坏模式. 对应得出的强度设计判据可为该类材料在这种承载破坏模式下的应用提供参考.     

Static properties of asymmetric vortex-like domain walls in magnetically uniaxial thick films

The structure and energy of asymmetric vortex-like Bloch and Néel walls in a magnetically uniaxial film with an easy magnetization axis lying in the film plane are investigated by numerically minimizing the total energy within the rigorous micromagnetic approach and the two-dimensional model of the magnetization distribution. The calculations are performed over wide ranges of film thicknesses b (up to b = 1 μm) and magnetic parameters of the films. It is established that the asymmetric vortex-like domain walls are the most universal wall structures in the films under consideration. In magnetically uniaxial films, unlike in magnetically multiaxial films, the asymmetric Bloch walls are always stable.     

双层磁性薄膜系统中铁磁共振性质

利用能量极小原理研究了双层磁性薄膜系统中的铁磁共振特性,给出共振频率与线宽随外加磁场的变化关系.以及考虑应力各向异性、交换各向异性和单轴各向异性后,系统共振频率与线宽的变化情况.数值计算结果表明:外应力场和交换各向异性场对铁磁共振频率、频谱宽度以及磁化行为均有影响.     

偏应力对材料层裂强度影响的实验研究

 采用热装配方法对平面样品施加径向应力,获得不同程度的偏应力,通过轻气炮实验获得了不同预应力下LY12铝合金层裂信号,结果表明：即使在相同撞击速度下,材料的层裂强度差异也发生明显变化。偏应力越大,材料的层裂强度越小,由于不同的球面层裂具有不同的偏应力场,通过本实验方法有可能将球面层裂与一维平变下的层裂联系起来。     

Solution of nonlinear strain and fracture problems for materials in complex stress states

Using the Pisarenko-Lebedev criterion, equations of ultimate failure strain under complex static and low-cycle loading were derived and were given experimental grounds for different types of biaxial loads. Experimental and calculation data are presented on the use of a generalized equivalence condition to solve problems of crack mechanics for complex stress states. Models and methods of determination of the crack direction, path, velocity and growth time under mixed biaxial loading are considered.     

Biaxial surface order dynamics in calamitic nematics

Thermotropic nematic materials relax strong distortions by lowering the nematic order: the uniaxial symmetry is broken and is locally replaced by biaxial domains. We investigated the dynamics of the nematic order near a boundary surface of an asymmetric π-cell submitted to an external electric field, close to the electric order reconstruction threshold. An unexpected phenomenon is observed close, but below the threshold: the biaxial order spreads on the surface inducing a consequent bulk topological behaviour equivalent to the splay-bend fast transition allowed by order reconstruction at higher voltage.     

New theorems for bianisotropic media

The general volume equivalence theorem for bianisotropic scatterers is presented, where the equivalent electric and magnetic currents are determined by a pair of coupled vector integral equations. Moreover, using the general volume equivalence theorem and conventional image principle, image theory is developed for a bianisotropic body over an infinite perfect electric or magnetic conducting ground plane.     

Stress-dependent changes in the diffuse ultrasonic backscatter coefficient in steel: experimental results

In this article, the effects of uniaxial compressive loading on the ultrasonic scattering from polycrystalline grains are shown for 10 MHz ultrasound in annealed, 1018 steel. The results show a decreasing value of the stress-dependent backscatter coefficient for normal incident ultrasound when the compression loading is perpendicular to the scattering direction. The change due to scattering is about 2 orders of magnitude greater than changes observed by others using ultrasonic wavespeed measurements. It is anticipated that this research can serve as the basis for many methods associated with nondestructive determination of stress in structural materials.     

Energy barrier distributions for magnetic nanoparticles with competing cubic and uniaxial anisotropies

We report in this study the effect of the competition between cubic and uniaxial anisotropies on the magnetic properties of magnetic nanoparticles. We have employed Monte Carlo simulations in our calculations and we have seen that the observed behavior is very different for the cases where easy uniaxial axes are completely random oriented or parallel to an external magnetic field. We have also calculated the effective energy barrier distribution probed during the isothermal magnetic relaxation and a two peak structure is observed only for a random orientation of uniaxial axes.     

Critical Plane Orientation Influence on Multiaxial High-Cycle Fatigue Assessment

In the present paper, the multiaxial fatigue lifetime of structural components failing in the high-cycle fatigue regime is evaluated by employing the modified Carpinteri-Spagnoli (C-S) multiaxial fatigue criterion based on the critical plane approach. In the above criterion, the critical plane position is linked to averaged principal stress directions through an off-angle 8. Then, the fatigue damage parameter used is determined by a nonlinear combination of an equivalent normal stress amplitude and the shear stress amplitude acting on the critical plane. In the present paper, some modifications of the original expression for the off-angle 8 are implemented in the modified Carpinteri-Spagnoli criterion. In particular, modified expressions recently proposed by Lagoda et al. are in accordance with the assumption originally developed by Carpinteri and co-workers, that is, the off-angle is a function of the ratio between the fatigue limit under fully reversed shear stress and that under fully reversed normal stress. Such expressions can be employed for metals ranging from mild to very hard fatigue behaviour. Some experimental data available in the literature are compared with the theoretical estimations and, only for materials with hard and very hard fatigue behaviour, the modified 8 relationships are shown to yield fatigue lifetime results slightly better than those determined through the original 8 expression.     

准等熵压缩下金属钽的屈服强度分析

 为分析固体材料的准等熵压缩实验数据,引入了率相关本构方程和流体弹塑性模型,建立了考虑材料强度效应的反积分数据处理方法。利用CQ-1.5磁压驱动装置中多晶钽的准等熵压缩实验数据,对钽的屈服强度和流应力进行了反积分数值模拟和分析,计算了钽的拉格朗日声速和应变率分布情况。得到了钽在准等熵压缩过程中样品内部及加载面上压力和速度的分布及演变规律,获得了30 GPa压力下钽的准等熵屈服强度约为1.85 GPa,准等熵弹性屈服极限约为2.9 GPa。此外,计算得到了与Sandia实验室数据高度吻合的应力-应变曲线和准等熵p-V参考线。     

An equivalent method of jet impact loading from collapsing near-wall acoustic bubbles: A preliminary study

Cavitation damage is a micro, high-speed, multi-phase complex phenomenon caused by the near-wall bubble group collapse. The current numerical simulation method of cavitation mainly focuses on the collapse impact of a single cavitation bubble. The large-scale simulation of the cavitation bubble group collapse is difficult to perform and has not been studied, to the best of our knowledge. In this study, the equivalent model of impact loading of acoustic bubble collapse micro-jets is proposed to study the cavitation erosion damage of materials. Based on the theory of the micro-jet and the water hammer effect of the liquid–solid impact, an equivalent model of impact loading of a single acoustic bubble collapse micro-jet is established under the principle of deformation equivalence. Since the acoustic bubbles can be considered uniformly distributed in a small enough area, an equivalent model of impact loading of multiple acoustic bubble collapse micro-jets in a micro-segment can be derived based on the equivalent results of impact loading of a single acoustic bubble collapse micro-jet. In fact, the equivalent methods of cavitation damage loading for single and multiple near-wall acoustic bubble collapse micro-jets are formed. The verification results show the law of cavitation deformation of concrete using equivalent loading is consistent with that of a micro-jet simulation, and the average relative errors and the mean square errors are insignificant. The equivalent method of impact loading proposed in this paper has high accuracy and can greatly improve the calculation efficiency, which provides technical support for numerical simulation of concrete cavitation.     

中子衍射法研究单晶镍基高温合金热机械疲劳引起的应力和晶格错配

采用中子衍射法对热机械疲劳后的单晶镍基高温合金样品内部中心点进行了实验测量,数据处理采用了双相叠加峰和单峰分析两种方法,计算得到了样品材料的宏观等效应力、应力偏量、γ相和γ′相的等效应力和晶格错配度等.实验结果表明,两种分析方法得到的宏观等效应力基本一致.在热机械疲劳循环100周出现最大宏观等效应力和应力偏量,此时位错等微缺陷达到饱和,偏离中心点处γ′相应力减小显著;在热机械疲劳开始阶段负错配度明显减小,随循环周次增多基体塑性应变累积又使负错配度以每次81×10^-6的速度逐渐线形增大. 关键词： 中子衍射 单晶高温合金 等效应力 应力偏量     

Some analytical expressions to measure the accuracy of the “equivalent von Mises stress” in vibration multiaxial fatigue

The “equivalent von Mises stress” (EVMS) was first proposed in 1994 by Preumont and co-workers as a frequency domain reformulation of von Mises stress, for the fatigue analysis of vibrating structures under multiaxial random stresses. The EVMS criterion is a simple, but very powerful tool to estimate fatigue damage with time domain analysis of simulated stress histories, or frequency domain evaluation by spectral methods. Despite its simplicity, the EVMS criterion is based on some inherent assumptions, which may lead to inaccurate damage estimations in some particular conditions (e.g. materials with very different axial/bending and torsion S–N curves). This paper aims to derive some analytical expressions to measure the accuracy of EVMS criterion for various combinations of material fatigue properties and loading conditions (e.g. combined axial/bending and torsion loadings). These expressions constitute an original contribution, as similar analytical approaches have not been proposed in literature. The accuracy of EVMS approach is then tested with typical material fatigue properties from literature. The range of applicability of EVMS criterion is then be identified for specified intervals and combinations of S–N parameters.