微机化的纵横波螺栓轴向应力检测仪研制

介绍了一种既可测安装过程中的螺栓应力又可测已紧固螺栓轴向应力的一种仪器 ,该仪器是以单片机和计算机为核心 ,用超声纵横波声时进行在线检测 ;利用超声波沿轴向传播的波速同轴向应力以及三阶弹性常数的关系导出了应力同纵横波声时比值及温度的关系 ,考虑了受应力作用时温度对声速的影响 ,简化了测量及计算过程 .仪器采用了声时、声幅衰减及数字处理技术联合排除偶合错误及噪声干扰等方法 ,增加了仪器的稳定性 ;仪器采用了高精度测声时方法 ,提高了应力测量精度 ;计算机提供了数字及图形显示并提供了数据查询及图形还原等功能 ,极大地方便了用户操作及管理 .实验结果表明应力低于 2 5 0MPa ,夹紧距离大于 30mm时 ,应力超声测量的绝对误差小于± 8MPa .     

人骨盆的生物力学——单足站立时骨盆的应力研究

本文分析了在单足站立时作用在骨盆上的肌肉和韧带的力值。使用有限元方法给出单足站立时的应力分布。分析发现髂骨应力是较低的,单足站立状态时的应力为双足站立时的二至四倍,最大应力可达七至八倍。计算表明高应力部位也是临床骨盆骨折的易发生部位。     

裂纹垂直于双相介质界面时的应力强度因子

本文利用Ｊ积分与应力强度因子的关系,采用有限元数值方法研究了当裂纹与双相介质的界面垂直时,其裂纹的近界面端和远界面端的应力强度因子随双相介质参数和裂纹端部到界面的距离的变化规律,同时还分析了当边裂纹逐渐扩展时,应力强度因子的变化特征。     

拉压不同弹性模量薄板上圆孔的应力分析

采用弹性理论研究了拉压不同弹性模量薄板上圆孔的孔边应力集中问题．采用广义虎克定律推导出了拉压不同弹性模量薄板上圆孔边的应力平衡方程,并联合利用应力函数及边界条件得到了拉压不同弹性模量薄板上圆孔边的应力表达式．算例分析表明,当薄板材料的拉压弹性模量相差较大时,采用经典弹性理论研究薄板上圆孔的孔边应力是不合适的,当经典弹性理论与拉压不同弹性模量弹性理论的计算结果间的差别超过工程允许误差5%时,应该采用拉压不同弹性模量弹性理论进行计算．     

定向凝固多晶铁磁形状记忆合金力-温度耦合的实验研究

铁磁形状记忆合金兼具大输出应变与高响应频率等综合特性,是新一代驱动与传感材料。采用定向凝固技术制成的多晶铁磁形状记忆合金具有较多优越的力学性能。本文对温度和应力耦合作用下的定向凝固多晶铁磁形状记忆合金的力学特性进行了实验测试,分别获得了定向凝固多晶Ni-Mn-Ga试样在不同恒定温度时的应力-应变循环曲线,以及试样在压缩时两个互相垂直方向的数字散斑图。结果表明:同一恒定温度时,随着应力循环次数的增加,其应变值逐渐减小;同一压缩应力时,不同温度作用过程中定向凝固方向的应力,随着温度的升高逐渐减小。本文结果可为铁磁形状记忆合金在工程中的应用提供一定的指导作用。     

扭动微动下亚表面接触应力分布规律

求解螺栓连接结构在扭动微动下的应力分布时,通常接触体的亚表面应力是由表面应力推导而得。而扭矩卸载时,由于接触表面切向力的表达式非常复杂,很难获得亚表面应力分布规律,为此引入半解析法求解亚表面应力分布特征。首先,根据加、卸载时的切向力和扭矩方程,获得加、卸载时的表面切向应力分布规律;然后,利用半解析法计算出加载时的亚表面应力,并与解析法的结果进行对比,验证半解析法的正确性,再用半解析法计算出卸载时的亚表面应力;最后,探讨了扭矩和摩擦系数对卸载时应力分布的影响规律。研究表明:卸载时,最大应力出现在接触表面或接触中心的正下方;随着扭矩的减小,整体应力减小,而最大应力先减小后不变;随着摩擦系数的增大,整体应力、最大应力值增大;应力值相对较小时,最大应力点出现在亚表面上。     

锥颈法兰的应力分析

法兰是容器及管道连接中的重要部件。目前,工程上广泛采用的应力分析法是Taylor-Waters法[1]。用该方法计算锥颈法兰的应力时,可以直接查阅大量的表格和图线,但该方法忽略了内压对法兰所产生的影响,并假定锥颈...     

碳纳米管增强Nb-Si基复合材料界面应力传递的研究

基于均匀化理论,建立了碳纳米管增强Nb-Si基复合材料的代表体积元模型,并采用剪切滞后模型对碳纳米管增强Nb-Si基复合材料界面上的应力分布和传递机制进行了研究,探讨了分子间作用力、杨氏模量比β、长径比α、体积分数?等对其应力分布和传递机制的影响。结果表明,复合材料界面应力分布的变化主要集中在碳纳米管的两端,最大的应力都是分布在加载端或拔出端,然后向另一端传递;分子间作用力、杨氏模量比、长径比、体积分数等参数对界面应力的传递均有一定的影响,其中长径比和体积分数的影响最明显,体积分数为0.02时拔出端的界面剪切应力值相对于体积分数为0.0025时增大幅度达到近7倍,而长径比从200减小到50时,其应力传递距离增大了近8倍。     

拉伸应力区的声速测量、层裂强度和断裂密度

1 引言 在层裂的实验研究中,目前尚无法直接测量发生在材料内部的动态断裂过程。通常采用测量自由面速度剖面,推演出材料层裂特性的方法。在计算材料发生断裂时的拉伸应力即层裂强度时,需要知道拉伸应力即负压下的声速。测量负压下的声速比测量冲击压缩下的声速要困难得多。仅仅从自由面速度剖面并不能计算出负压声速,因为通常无法确定材料中应力由压应力转变为拉伸应力的“位置”、发生层裂的位置以及时间。能否通过特别的实验设计,确定发生这些过程的时一空位置,进而获得负压声速,一直是实验研究者企求解决的问题。下面介绍两种测量负压声速的实验装置设计和计算负压声速、层裂强度和断裂密度的方法,是这方面研究工作的尝试。     

基于应力比值法的V形切口应力强度因子分析

本文基于有限元分析技术建立了一种应力比值方法,用于计算V形切口的应力强度因子。该方法不需要在V形切口尖端采用反映应力奇异性的奇异单元。求解时,首先给定参考问题的广义应力强度因子,然后利用待求问题的应力值与参考问题的应力值之间的比值来求解待求问题的广义应力强度因子。算例采用切口尖端应力方法分析了平板的V形切口问题。计算结果表明,该方法计算精度较高,能够方便地用于求解相关的工程问题。     

输电塔线体系断线动力响应及杆塔破坏模拟研究

利用ABAQUS软件建立500kV典型输电线路段塔线耦合体系的精细有限元模型,数值模拟覆冰塔线耦合体系断线后的动态响应和杆塔破坏过程。对杆塔引入等效塑性应变破坏准则,当单元的最大等效塑性应变达到许用值时,删除单元以模拟杆塔的破坏。数值模拟结果与按我国电力设计规程以及IEC设计规程的计算结果比较表明:地线断线时用塔线模型和规程计算得到的杆塔应力的差别较导线断线时大,地线和导线断线时杆塔的最大应力均大于两种规程的计算值;杆塔上与地线连接的角担是断线时的薄弱区域。现行电力设计规程中采用静力分析方法对断线产生的冲击动力作用的估计不足。     

An exact semi-analytic solution for residual stresses and strains within a thin hollow disc of pressure-sensitive material subject to thermal loading

There is considerable current interest in the development of constitutive equations for pressure-dependent plastic materials. In particular, in contrast to classical plasticity there is no commonly accepted relation to connect stress and strain or strain rate for such materials. Analytic and semi-analytic solutions are convenient to compare qualitative features of boundary value problems solved for different models. Such comparative studies can be useful to choose this or that model for specific applications. Analytic and semi-analytic solutions are also necessary to verify numerical codes. In the present paper, a new semi-analytic solution for a thin hollow disc subject to thermal loading is developed. A numerical method is only necessary to solve transcendental equations. The constitutive equations for connecting the plastic portion of the strain rate tensor and the stress tensor consist of the Drucker-Prager yield criterion and its associated flow rule. Therefore, the main distinguished feature of the solution is that the material is plastically compressible.     

Size dependent response of large shell elements under in-plane tensile loading

Large-scale thin-walled structures with a low weight-to-stiffness ratio provide the means for cost and energy efficiency in structural design. However, the design of such structures for crash and impact resistance requires reliable FE simulations. Large shell elements are used in those simulations. Simulations require the knowledge of the true stress–strain response of the material until fracture initiation. Because of the size effects, local material relation determined with experiments is not applicable to large shell elements. Therefore, a numerical method is outlined to determine the effect of element size on the macroscopic response of large structural shell elements until fracture initiation. Macroscopic response is determined by introducing averaging unit into the numerical model over which volume averaged equivalent stress and plastic strain are evaluated. Three different stress states are considered in this investigation: uniaxial, plane strain and equi-biaxial tension. The results demonstrate that fracture strain is highly sensitive to size effects in uniaxial tension whereas in plane strain or equi-biaxial tension size effects are much weaker. In uniaxial and plane strain tension the fracture strain for large shell elements approaches the Swift diffuse necking condition.     

A non-local implicit gradient-enhanced model for unstable behaviors of pseudoelastic shape memory alloys in tensile loading

In this paper, a gradient-enhanced 3-D phenomenological model for shape memory alloys using the non-local theory is developed based on a 1-D constitutive model. The method utilizes a non-local field variable in its constitutive framework with an implicit gradient formulation in order to achieve results independent of the finite element discretization. An efficient numerical approach to implement the non-local gradient-enhanced model in finite element codes is proposed. The model is used to simulate stress drop at the onset of transformation, and its performance is evaluated using different experimental data. The potential of the presented numerical approach for behavior of shape memory alloys in eliminating mesh-dependent simulations is validated by conducting various localization problems. The numerical results show that the developed model can simulate the observed unstable behaviors such as stress drop and deviation of local strain from global strain during nucleation and propagation of martensitic phase.     

THE LAYOUT OPTIMIZATION OF STIFFENERS FOR PLATE-SHELL STRUCTURES

The plate-shell structures with stiffeners are widely used in a broad range of engineering structures. This study presents the layout optimization of stiffeners. The minimum weight of stiffeners is taken as the objective function with the global stiffness constraint. In the layout optimization, the stiffeners should be placed at the locations with high strain energy/or stress. Conversely, elements of stiffeners with a small strain energy/or stress are considered to be used inefficiently and can be removed. Thus, to identify the element efficiency so that most inefficiently used elements of stiffeners can be removed, the element sensitivity of the strain energy of stiffeners is introduced, and a search criterion for locations of stiffeners is presented. The layout optimization approach is given for determining which elements of the stiffeners need to be kept or removed. In each iterative design, a high efficiency reanalysis approach is used to reduce the computational effort. The present approach is implemented for the layout optimization of stiffeners for a bunker loaded by the hydrostatic pressure. The numerical results show that the present approach is effective for dealing with layout optimization of stiffeners for plate-shell structures.     

Optimal design of a two-layered elastic strip subjected to transient loading

Analytical solutions play a very important role in the validation of numerical codes. However, exact analytical solutions involving optimal design of transiently loaded multilayered structures, are rare in the literature.In this paper, we solve an optimal design problem involving wave propagation in a two-layered elastic strip subjected to transient loading. We obtain explicit formulas for the stress in each layer using the method of characteristics, and then use these results to identify the designs that provide the smallest stress amplitude. The derived analytical results are then successfully used to validate a previously developed, hybrid computational optimization software.     

A variational differential quadrature solution to finite deformation problems of hyperelastic shell-type structures: a two-point formulation in Cartesian coordinates

A new numerical approach is presented to compute the large deformations of shell-type structures made of the Saint Venant-Kirchhoff and Neo-Hookean materials based on the seven-parameter shell theory. A work conjugate pair of the first Piola Kirchhoff stress tensor and deformation gradient tensor is considered for the stress and strain measures in the paper. Through introducing the displacement vector, the deformation gradient, and the stress tensor in the Cartesian coordinate system and by means of the chain rule for taking derivative of tensors, the difficulties in using the curvilinear coordinate system are bypassed. The variational differential quadrature (VDQ) method as a pointwise numerical method is also used to discretize the weak form of the governing equations. Being locking-free, the simple implementation, computational efficiency, and fast convergence rate are the main features of the proposed numerical approach. Some well-known benchmark problems are solved to assess the approach. The results indicate that it is capable of addressing the large deformation problems of elastic and hyperelastic shell-type structures efficiently.     

On the methodologies of stress analysis of composite structures: Part 2: New experimental approaches

The rapidly increasing technological importance of composite materials and composite structures is leading to the development of new, more advanced models of their actual response to mechanical and thermal loads. This in turn results in the development of new experimental and analytical methods for determination of the mechanical and thermal responses of such structures and materials to various loads. In this respect the reliability and the predictive power of various methods and techniques of stress analysis become very important since all the analytical, experimental and numerical methods used for the determination, prediction and optimization of the actual mechanical responses of composite structures and materials are based on the concepts of strain and stress. Because of the inherently three-dimensional stress and strain states in composite materials and structures and the wide use of viscoelastic polymers as the matrix and some reinforcing fiber materials, a more rigorous type of modelling than had been common in the past is needed of all the involved physical phenomena which influence the strain and stress states at the local and global levels. Also, a more rigorous analysis of practical consequences of the physical and mathematical simplifications is required to assure reliability and accuracy of various methods of stress analysis. The influence of the above-mentioned factors on the reliability and applicability of analytical and experimental procedures is illustrated by examples of actual material responses.Part 2 of this paper presents theories and techniques of three new methods of strain/stress analysis which have been developed on the basis of comprehensive physical models of involved phenomena: the isodyne, strain gradient and thermoelastic effect methods. Presented examples illustrate the efficacy of these methods.     

Charged dislocations in piezoelectric bimaterials

In some piezoelectric semiconductors and ceramic materials, dislocations can be electrically active and could be even highly charged. However, the impact of dislocation charges on the strain and electric fields in piezoelectric and layered structures has not been presently understood. Thus, in this paper, we develop, for the first time, a charged three-dimensional dislocation loop model in an anisotropic piezoelectric bimaterial space to study the physical and mechanical characteristics which are essential to the design of novel layered structures. We first develop the analytical model based on which a line-integral solution can be derived for the coupled elastic and electric fields induced by an arbitrarily shaped and charged three-dimensional dislocation loop. As numerical examples, we apply our solutions to the typical piezoelectric AlGaN/GaN bimaterial to analyze the fields induced by charged square and elliptic dislocation loops. Our numerical results show that, except for the induced elastic (mechanical) displacement, charges along the dislocation loop could substantially perturb other induced fields. In other words, charges on the dislocation loop could significantly affect the traditional dislocation-induced stress/strain, electric displacement, and polarization fields in piezoelectric bimaterials.     

粘弹塑性材料动态裂纹尖端场

本文采用一种弹性/粘塑性模型,对扩展裂纹尖端应力应变场进行了渐近分析。文中假定,弹性阶段的粘性效应可以略去,仅在塑性应变中粘性才起作用。对这种模型,文中导出了一种率敏感型的本构关系。并进一步导出了裂纹尖端应力应变场的动力学方程。通过量级分析,给出了尖端场的应力应变奇异性指数。并且讨论了弹性,塑性及粘性三者的匹配条件。对Ⅲ型裂纹进行了具体的分析计算。对各个不同参数的选取进行了详细的分析,讨论了解的性质随各参数的变化规律。