Methods for modelling the ultimate strength of orthotropic plate with a central hole under uniaxial tension

The stress state in plates with circular holes made of orthotropic homogeneous material has no singularities and it can be exactly determined. The numerical stress distribution calculation by the finite element method will be compared with those obtained by the analytical equations developed by several authors. The goal of this work is to validate the finite element method, in conjunction with in-plane and out of plane failure criteria, in order to calculate not only the stress distribution for orthotropic plates with circular holes but also to determine their ultimate strength.The tool used has been a user subroutine (UMAT) specially developed for this work that implements the features of the commercial FE program (ABAQUS). The code performs an implicit analysis of the stress-state with progressive damage modelling.Finally, both of them, numerical and analytical method, will be checked with experimental tests by means of strain gauges.     

块石含量和空间分布对土石混合体抗剪强度影响的离散元分析

土石混合体的抗剪强度在很大程度上取决于其块石的含量、空间分布、形态等参数。该文采用球体单元模拟土颗粒,通过组合颗粒单元构造非规则形态的块石,对不同含石量和块石空间分布下土石混合体的直剪过程进行了离散元数值模拟。计算结果表明,在低含石量下,土石混合体的抗剪强度随含石量的增加而增加;在中含石量下,受块石空间分布的影响,其抗剪强度呈现很强的波动性;在高含石量下,其抗剪强度显著增强,波动性相对较小。抗剪强度在中高含石量下波动现象的细观机理是块石空间分布影响下的力链结构特性。当块石的空间分布使其形成较强力链结构时,抗剪强度较高;反之,块石间的力链结构不稳定,抗剪强度相对较低。以上研究有助于从细观尺度揭示土石混合体变形和剪切强度特性的内在机理。     

变速超空泡航行体壳结构的动力响应分析

通过对变速超空泡水下航行体壳结构受力模型的分析,建立了恒定推力下航行体的平面运动方程,确定了变速过程中的阻力和冲击力。利用有限元方法,进行了结构响应计算,分析了减速过程中节点时域上的最大应力值在轴向的分布情况及典型节点处的响应。结果表明：航行体所需推力和所受应力较大,对其结构强度要求较高;运动过程中,节点时域上的最大应力在空间域上的极大值主要分布在首尾端部和柱壳中部;存在一些振动频率对航行体结构响应影响显著。结果对超空泡航行体壳结构受力和强度分析以及优化设计有着重要的指导意义。&;#61472;     

LEC法GaAs单晶生长中热应力分布研究

采用有限元法对LEC法生长的3英寸GaAs单晶中的热应力进行求解.假设晶体为轴对称的各向同性线弹性体.主要讨论了不同液封厚度、轴向磁场强度以及晶体转速下的流动和传热所对应的晶体中的热应力分布,同时也考察了界面形状对应力的影响.     

高强度钢加劲板焊接残余应力测试及分析

为研究高强度钢的板肋加劲板焊接残余应力分布特点,该文利用切割法对板肋加劲板试件进行了应力测试研究,建立了三维实体热弹塑性有限元模型,采用单元生死和动态约束技术模拟焊缝填充和焊接热输入过程,对比分析了高强度钢和普通钢的应力分布特点,比较研究了母板厚度、肋板厚度、肋板间距和高度对焊接残余应力的影响。研究结果表明:板肋加劲板T型接头角焊缝的焊接顺序与残余应力的分布不相关;高强度钢非焊接区域残余压应力小于普通钢;板件厚度和肋板高度是影响高强度钢的板肋加劲板焊接残余应力的主要因素。     

A MODEL FOR ANALYSIS OF ARBITRARY COMPOSITE AND POROUS MICROSTRUCTURES WITH VORONOI CELL FINITE ELEMENTS

The Voronoi Cell Finite Element Model (VCFEM) has been successfully developed for materials with arbitrary microstructural distribution. In this method, the finite element mesh evolves naturally by Dirichlet Tessellation of the microstructure. Composite VCFEM for small deformation plasticity has been developed by expressing the element stresses in terms of polynomial expansions of location co-ordinates. Though this works well for discrete composites with inclusions, its effectiveness diminishes sharply for porous materials with voids. The effect worsens sharply with voids of arbitrary shapes. To overcome this limitation, a new way of defining stress functions is introduced in this paper. Based on a transformation method similar to the Schwarz–Christoffel conformal mapping, it introduces reciprocal stress functions that are derived to incorporate shape effects. Several numerical experiments are conducted to establish the strength of this formulation. The effect of various microstructural morphologies on the overall response and local variables are studied.     

Simulation of fatigue crack growth in components with random defects

The paper presents a probabilistic method for the simulation of fatigue crack growth from crack-like defects in the combined operating and residual stress fields of an arbitrary component. The component geometry and stress distribution are taken from a standard finite element stress analysis. Number, size and location of crack-like defects are ‘drawn’ from probability distributions. The presented fatigue assessment methodology has been implemented in a newly developed finite-element post-processor, P • FAT, and is useful for the reliability assessment of fatigue critical components. General features of the finite element post-processor have been presented. Important features, such as (i) the determination of the life-controlling defect, (ii) growth of short and long cracks, (iii) fatigue strength and fatigue life distribution and (iv) probability of component fatigue failure, have been treated and discussed. Short and long crack growth measurements have been presented and used for verification of the crack growth model presented.     

Discrete element modelling of one-dimensional compression of cemented sand

It has recently been shown that the one-dimensional normal compression of sand can be modelled effectively in three-dimensions using the discrete element method, and that the slope of the compression curve (in log voids ratio–log stress space) is controlled by the size effect on average particle strength. This paper incorporates soil structure by simulating cemented sand, and the effects of inter-particle bonding (including bond strength and strength distributions) on the one-dimensional compression behaviour and evolving particle size distributions are investigated. The results show that bonding reduces particle crushing, and it is both the magnitude and distribution of bond strengths that influence the compression curve of the structured material.     

基于坡面卸荷的土质边坡应力状态及稳定性分析

边坡稳定性分析中极限平衡法难以考虑土体应力状态,坡体滑面应力计算又长期停留在数值方法上。为解决这一问题,提出坡面卸荷应力等效思路,将坡面按半无限边界考虑后利用弹性理论求解坡体应力,并根据滑面应力进行稳定性安全系数计算,最后结合多个算例将潜在滑动面位置、滑面应力分布、安全系数与已有理论进行比较。研究结果表明:坡面卸荷应力等效思路概念清晰,符合边坡受力特征,且通过该思路求得的滑面应力与有限元分计算结果基本一致,搜索得到的潜在滑动面位置,以及对应的稳定性安全系数与有限元强度折减法、极限平衡法计算结果十分接近。此外,该计算方法还能有效与支护结构预应力结合,体现预应力的加固作用。     

A stress distribution remodelling technique

The stress distribution ahead of a notch is of great practical interest when undertaking fatigue and fracture analyses. In particular it is generally the first principal stress close to the notch which is desired. For a sharp notch this can be characterized by the stress field parameter K ^N which is referred to as the notch stress intensity factor (or N-SIF). The finite element method is a very powerful tool which is commonly used to determine K ^N . However, unless specialized methods are used the finite element mesh must be extremely refined in the region of the notch in order to calculate an accurate value. In practical situations, the degree of mesh refinement necessary is often not possible, due to either time or computer limitations. The following describes a simple technique which can be used to accurately determine the stress distribution close to a sharp notch, by remodelling or reshaping a stress distribution that has been obtained from a finite element analysis using a coarse or inadequate mesh. A theoretical equation for defining the principal stress distribution ahead of a sharp notch, which has been developed by Atzori et al. (2005) is used to do this. It is shown that the theoretical distribution can be explicitly determined from the finite element distribution by using global equilibrium conditions. It is shown that this technique is independent of the finite element mesh size. The method is used to calculate K ^N for seven different combinations of geometry and loading condition, using various FE mesh refinement. It is shown that the results are accurate to within 15%.     

形状记忆合金混杂复合材料层板的有限元分析与强度研究

形状记忆合金(SMA)与复合材料层板结合后,构成可驱动材料。形状记忆合金的非线性及其与复合材料层板的结合界面的力学性能对整体材料的性能影响较大。通过对埋入形状记忆合金驱动器的复合材料层板进行有限元模拟分析与试验研究,用有限元模拟分析的方法可以比较准确地模拟埋入形状记忆合金后复合材料的应力分布情况,结果表明,形状记忆合金的埋入不会对材料的强度产生较大影响。     

双向梯度复合材料板瞬态热应力分析

该文通过编写一种8节点高阶双向梯度单元建立了结构的连续梯度有限元模型,采用细观力学方法结合混合律准则描述了双向梯度单元变化的热物理属性。分别采用有限单元-有限差分法和有限单元法分析了在循环热载荷作用下双向梯度板Al 1100/Ti-6Al-4V/ZrO2的瞬态热传导和热弹性问题,给出了温度场和瞬态热应力场的时间响应历程和空间分布形式。最后讨论了相关参数的影响规律,得到了一些重要的结论:冷却阶段更加容易萌生表面裂纹;沿x方向组分的分布形式影响了瞬态热应力的大小,但对其时间响应和分布形式影响很小;沿y方向组分的分布形式影响了瞬态热应力的时间响应和分布形式,但对其大小影响很小。     

Stress and strength analysis of composite joints using direct boundary element method

In this paper, the stress distribution and the strength of bolted joints of orthotropic composite plates under uniform loading are investigated. A direct boundary element method with quadratic isoparametric elements in conjunction with a fundamental solution derived by Rizzo and Shippy¹ is used. Plates with rigid bolts are treated as two-dimensional plane stress problems, and the bolt size is considered to be identical to the hole dimension. The prediction of the laminate strength is based on the Yamada-Sun² failure criterion. Some numerical results for various edge distances and material properties are presented for illustrative purposes.     

不同元件故障状态下滚动轴承的动态特性研究

为探究局部故障状态下滚动轴承内部动态特性的差异性和相似性,以NU306圆柱滚子轴承为研究对象,利用有限元仿真软件ANSYS/LS-DYNA构建正常以及外圈、内圈和滚动体分别故障时的有限元模型,得到不同故障状态下滚动体的应力特性、振动特性及运动特性。结果表明,当滚动轴承的不同元件发生故障时,故障前端应力均会滞后,后端应力均会提前,其中外圈故障时应力的变化最大;外圈故障时滚动体在经过故障区域期间的振动加速度先减小后增大,内圈和滚动体故障时振动加速度先增大后减小;外圈和滚动体故障时滚动体的公转转速均比理论公转转速小,内圈故障时滚动体的公转转速比理论公转转速大。所构建的有限元模型可用于探究不同元件故障时滚动轴承内部的故障机理,可为进一步研究滚动轴承的承载能力和使用寿命提供有力的分析方法。     

有限元法在42英寸多枪彩色显像管玻壳设计中的应用

由于多电子枪显象管玻壳是一个变厚度组合壳体 ,很难用板壳经典理论进行求解 ,所以在设计九电子枪彩管玻壳时用有限元方法预先知道该玻壳的应力分布。通过修改设计参数 ,使九电子枪彩管玻壳能满足强度要求。在设计玻屏时采用非均匀有理B样条的曲面分析方法 ,锥体采用四条组合的非均匀有理B样条曲线旋转一周得到。本设计实现了玻屏表面外形和曲率变化及玻壳结构设计的全参数化 ,提高了玻壳的设计效率。本文还给出了计算玻壳外型的公式和一些技术参数。计算机仿真结果表明 :4 2英寸九电子枪彩色无支撑CRT的玻壳既能满足强度要求 ,又具有好的视觉效果     

轴力及双向弯矩下钢筋混凝土截面新型快速应力积分算法

轴力和双向弯矩作用下钢筋混凝土构件正截面极限承载力分析需要通过迭代调整截面中性轴的位置和方向以使截面应力积分与给定的外荷载满足平衡条件。为提高截面应力积分的计算效率和求解精度,提出了一种新型快速应力积分算法。考虑到混凝土应力-应变曲线为分段函数的特点,该方法基于迭代步中的应变分布将截面单元分解为多个积分子域,并通过二次等参映射和高斯数值积分方法对各子域进行应力积分。该方法在迭代过程中无需对初始网格信息做任何修改,可适用于任意形状的钢筋混凝土构件正截面极限承载力分析。通过算例分析,考察了方法的计算效率和有效性。     

Nonlinear finite element analysis of masonry wall strengthened with CFRP strips

In many experimental studies, it has been proved that unreinforced masonry (URM) brick walls have high strength against lateral forces acting in plane. However, out-of-plane strength of URM brick walls against lateral forces has found to be quite low. According to the experiences that were obtained from the major earthquakes, the low out-of-plane performance of URM brick walls resulted in excessive loss of human lives during an earthquake, hence the strengthening of URM brick walls with CFRP strips has been appeared to be a very important subject. However, very limited literature has been found. Especially, the data obtained from experimental studies must be increased for the true understanding of the behavior of strengthened brick walls under out-of-plane lateral forces. However, in most cases, this procedure required large number of expensive experiments. At this stage, numerical analysis can be an appropriate choice, thus in this paper a finite element model is presented for modeling URM brick walls that are strengthened with CFRP strips. The numerical results are compared with the experimental ones and consistent results are obtained from the finite element model. General purpose finite element analysis software ANSYS is used throughout this study. Contact elements are used along the masonry wall–CFRP strip interfaces for the investigation of the stress distribution and load – strain behavior.     

A global procedure for the time-dependent reliability assessment of crane structural members

This paper aims at developing a probabilistic fatigue assessment procedure for crane structural members, using a structural reliability method, namely the stress–strength interference method. A crane member strength law is found by fitting fatigue life distribution parameters using finite element results and experimental data. The stress model is developed by using on-site data to determine probabilistic parametric distributions defining crane member loading. The efficiency of the proposed stress–strength interference method for tower crane member reliability assessment in fatigue is demonstrated on a jib chord member connection.     

Effects of geometry and specimen size on out-of-plane tensile strength of aligned CFRP determined by direct tensile method

The out-of-plane tensile strength of CFRP laminate determined by the direct tensile method varies with specimen geometry and size. This effect was first experimentally observed using aligned CFRP. To explain the geometry and size effects from a mechanical point of view, an analytical model combining Weibull statistics, including the concept of effective volume, and a fracture criterion under multi-axial loading was constructed on the basis of stress distributions calculated using the finite element method. The predicted out-of-plane tensile strength of aligned CFRP was found to be consistent with experimental results. Thus, the present model is useful for reducing experimentally determined out-of-plane tensile strength under complex stress distributions to that under a uniaxial and uniform stress distribution.     

Effect of amount, size, and spatial distribution of intermetallics on incipient localization during plastic deformation

Virtual microstructures having a systematic variation of amount, mean size, standard deviation of size, and spatial arrangement of intermetallics have been synthesized, and their deformation behavior in uniaxial tension has been evaluated using finite element analysis. Four spatial arrangements of intermetallics have been considered in this work, namely: random, clustered, and two-ordered structures. Various mathematical quantities have been developed to quantify the severity of deformation including plastic work density distribution (PWDD), percentile work-density volume criterion (PWC), and percentile stress volume criterion (PSC). This approach eliminates the need for an external trigger in FEA to achieve localization. The method developed has led to a better understanding of the effect of different microstructural attributes on the process of deformation. This has resulted in guidelines for optimizing the microstructure to minimize material damage and thereby maximize ductility.