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Analysis of low velocity impact properties of basalt fiber composites considering strain rate effect 考虑应变率效应的玄武岩纤维复合材料低速冲击性能分析
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-08-31 DOI: 10.1177/03093247221116582
Mengmeng Yang, An Cui, Xianqing Huang
This study focuses on the strain rate effect on the mechanical properties and damage evolution of basalt fiber reinforced composites subjected to low-velocity impact. A constitutive model is developed to accurately analyze the failure behavior of BFRP laminates. The strain-rate-dependent (SRD) model puts emphasis on a modified stress-strain relationship described by dynamic increase factor (DIF) to update mechanical properties timely during the impact loading and the damage evolution simulation is performed with the finite element code of ABAQUS software. The results shown in the LVI simulation confirmed the validity of the SRD model in comparison with the conclusions of experiments. Furthermore, detailed comparisons are discussed between the strain rate dependent (SRD) model and the strain rate independent (SRI) model under various simulations of different impact energy, thickness, and ply angles of laminates.
研究了应变速率对低速冲击下玄武岩纤维增强复合材料力学性能和损伤演化的影响。为了准确分析复合材料层合板的破坏行为,建立了本构模型。应变率相关(SRD)模型强调以动态增加因子(DIF)描述的修正应力-应变关系来及时更新冲击加载过程中的力学性能,并利用ABAQUS软件的有限元程序进行损伤演化模拟。LVI仿真结果与实验结论的对比证实了SRD模型的有效性。在不同冲击能、层合板厚度和层合板铺层角度的不同模拟条件下,对应变率相关(SRD)模型和应变率无关(SRI)模型进行了比较。
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引用次数: 0
Free vibration characteristics of viscoelastic nano-disks based on modified couple stress theory 基于修正耦合应力理论的粘弹性纳米圆盘自由振动特性
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-08-17 DOI: 10.1177/03093247221116053
A. Alizadeh, M. Shishehsaz, S. Shahrooi, Arash Reza
This paper investigates the vibrational behavior of a viscoelastic and size-dependent nano-disk based on the modified couple stress theory (MCST). The material characteristics in nano-scale are modeled according to Zener viscoelastic constitutive relation. In addition, displacement components are defined based on classical plate theory. Leaderman integral is also used to determine the viscous parts of the stress tensor. Hamilton’s principle is utilized to derive the governing equations of motion for specifying the strain, kinetic energy, and viscous work. The obtained equations are discretized with the help of the Galerkin method and decoupled through the diagonalization procedure. Laplace transformation is employed to solve the resulting equations in differential–integral form. The damping ratio, the imaginary part and real part of the Eigen frequency of the considered nano-disk are calculated to investigate the effects of influential parameters on the nano-disk vibrational behavior. These parameters include nonlocal parameter boundary conditions, geometric constant, power constant, and element relaxation coefficient. Results obtained on different mode shapes indicate that increasing the dimensionless element relaxation coefficient is followed by a decrease in the imaginary part of the Eigen frequency regarding the energy dissipation as well as a decrease in the real part of the Eigen frequency. Furthermore, increasing the h/l ratio is accompanied by variations in the imaginary part, real part, and damping ratio. According to the results, the effect of damping on vibrational behavior of the nano disk is more distinguished for smaller values of h/l.
基于修正偶联应力理论(MCST)研究了粘弹性和尺寸相关的纳米圆盘的振动行为。根据齐纳粘弹性本构关系对材料在纳米尺度上的特性进行了建模。此外,根据经典板理论定义了位移分量。Leaderman积分也用于确定应力张量的粘性部分。利用哈密顿原理推导出运动的控制方程,以确定应变、动能和粘性功。利用伽辽金方法对得到的方程进行离散,并通过对角化过程解耦。用拉普拉斯变换求解微分积分形式的方程。计算了所考虑的纳米盘的阻尼比、本征频率的虚部和实部,研究了影响参数对纳米盘振动行为的影响。这些参数包括非局部参数边界条件、几何常数、功率常数和单元松弛系数。在不同振型下得到的结果表明,增大无量纲单元松弛系数会导致本征频率的虚部耗能减小,实部耗能减小。此外,h/l比的增加伴随着虚部、实部和阻尼比的变化。结果表明,h/l越小,阻尼对纳米圆盘振动性能的影响越明显。
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引用次数: 3
Experimental and numerical investigation of residual stress distribution in Al-6061 tubes under using tubular channel angular pressing process by new trapezoidal channel 新型梯形通道管状通道角挤压Al-6061管残余应力分布的实验与数值研究
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-08-04 DOI: 10.1177/03093247221113229
A. Aghababaei, M. Honarpisheh
Tubular channel angular pressing (TCAP) method is an appropriate severe plastic deformation (SPD) techniques for the generation of ultra-fine grained (UFG) and nanostructured (NS) tubes. In forming methods, the measurement of residual stresses is very important due to their significant effects on the processed samples. Therefore, determining the residual stresses created by the TCAP method in metals is of great importance. In this research, the distribution of residual stresses in Al-6061 tubes under the TCAP process, was studied experimentally and numerically. For this purpose, first the TCAP process was applied on Al-6061 tubes and after that the residual stresses generated in the TCAPed tubes were measured. Sachs method was used experimentally to measure the residual stresses. Sachs method is one of the destructive, convenient and efficient methods for measuring the residual stresses of axisymmetric cylindrical samples. Residual stresses measured by Sachs method in the processed samples showed that the tensile and compressive residual stresses were created on the external and internal tube surfaces, respectively. In addition, a good agreement was existed between the results of the numerical simulation and experimental methods for measuring the residual stress distribution.
管状通道角压法(TCAP)是一种适用于超细晶(UFG)和纳米结构(NS)管的严重塑性变形(SPD)技术。在成形方法中,残余应力的测量是非常重要的,因为残余应力对被加工样品的影响很大。因此,确定金属中由TCAP方法产生的残余应力是非常重要的。本文对Al-6061管材在TCAP过程中的残余应力分布进行了实验和数值研究。为此,首先在Al-6061管上应用TCAP工艺,然后测量TCAP管中产生的残余应力。实验中采用Sachs法测量残余应力。Sachs法是测量轴对称圆柱形试样残余应力的一种破坏性强、方便有效的方法。Sachs法测量的残余应力表明,残余应力分别产生于管的外表面和内表面。此外,数值模拟结果与实验方法的残余应力分布测量结果吻合较好。
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引用次数: 1
Limitations of double compression to determine static recrystallization fraction 测定静态再结晶分数的双重压缩的局限性
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-08-02 DOI: 10.1177/03093247221116033
Baochun Zhao, Zhang Tao, Xiao Hu
It is well known that double deformation method is widely used to determine static recrystallization volume fraction. And static recrystallization volume fraction for many materials have ever been evaluated by the methods, as 0.2% offset, 2% offset, back-extrapolation, 5% total strain, mean flow stress and area (strain energy) methods. These methods are based on characteristic stress or strain energy (CS). However, materials can exhibit different flow behaviors during hot working process, which results in a difficulty to designate CS. Therefore, there are some limitations for the methods. In the present work, these six methods were divided into two groups: group I, the CS designated on experimental curves and group II, CS designated on semi-experimental curves. And typical curves were analyzed to find out the limitations of the methods, which can be used to rationalize the method selection to evaluate static recrystallization volume fraction.
众所周知,双变形法是测定静态再结晶体积分数的常用方法。许多材料的静态再结晶体积分数已经用0.2%偏置法、2%偏置法、反向外推法、5%总应变法、平均流动应力法和面积(应变能)法进行了评估。这些方法基于特征应力或应变能(CS)。然而,材料在热加工过程中会表现出不同的流动行为,这给CS的确定带来了困难。因此,该方法存在一定的局限性。在本工作中,将这六种方法分为两组:第一组是在实验曲线上指定的CS,第二组是在半实验曲线上指定的CS。并对典型曲线进行了分析,找出了方法的局限性,为评价静态再结晶体积分数的方法选择提供了依据。
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引用次数: 0
Research on the stability analysis of milling of thin-walled parts based on the dynamic characteristics 基于动态特性的薄壁零件铣削稳定性分析研究
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-07-26 DOI: 10.1177/03093247221113231
Yang Liu, Chencheng Zhao, Ningyuan Cui, Xinxin Yan, Y. Chen, Haiying Liang, Xiaoyu Cai, Yue Shan, Kuiyuan Bao
Chatter in thin-walled parts is easy to occur in the process of machining, so the analysis of the stability of thin-walled parts has always been a research hotspot. In this paper, considering the influence of cutter eccentricity on milling force first, the coefficients of milling force were able to be identified by combining the milling force model with genetic algorithm. The results show that this method can obtain the milling force coefficients only by one experiment, and the accuracy is higher. Then the tool point Frequency Response Function (FRF) for a given combination can be calculated by using the Receptance coupling substructure analysis (RCSA) method that uses Timoshenko beam theory. Finally, the milling system can be divided into three types by aspect ratio. That is, when aspect ratio is less than 0.03, the system is considered to be a rigid tool-flexible workpiece system, but aspect ratio is between 0.03 and 0.2, the system is considered to be a flexible tool-flexible system, then aspect ratio is greater than 0.2, the system is considered to be a flexible cutter-rigid workpiece system.
薄壁零件在加工过程中容易产生颤振,因此薄壁零件的稳定性分析一直是一个研究热点。本文首先考虑了刀具偏心对铣削力的影响,将铣削力模型与遗传算法相结合,确定了铣削力系数。结果表明,该方法只需一次实验即可得到铣削力系数,且精度较高。然后采用基于Timoshenko梁理论的接收耦合子结构分析(RCSA)方法计算给定组合的工具点频响函数(FRF)。最后,根据纵横比将铣削系统分为三种类型。即当纵横比小于0.03时,系统被认为是刚性刀具-柔性工件系统,而纵横比在0.03 ~ 0.2之间时,系统被认为是柔性刀具-柔性系统,那么纵横比大于0.2时,系统被认为是柔性刀具-刚性工件系统。
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引用次数: 0
Stress concentration in shape memory alloy sheets with circular cavities: Effects of transformation, saturation, and plasticity 带圆腔的形状记忆合金板的应力集中:相变、饱和和塑性的影响
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-07-26 DOI: 10.1177/03093247221113755
S. M. Hosseini, M. J. Ashrafi
The analysis of stress concentration in geometrically heterogeneous smart structures is of great importance. In this study, by utilizing a recent constitutive model which considered both transformation and plasticity of shape memory alloys (SMAs), the stress concentration factor (SCF) in plates with circular cavities is investigated and the effect of phase transformation, saturation, and plasticity which may occur locally is studied. The results show that the conversion of the austenitic phase to the martensite leads to a reduction in SCF. After saturation of phase transformation at the stress concentration point, the SCF increases until the entire sheet enters the martensite phase. In the example under study, the SCF reaches 5.8 which is greatly higher than the elastic SCF. By entering the plastic region locally, the SCF reduces. Also, the modeling of sheets with more than one cavity has been done. It is concluded that extra hole, as a stress relief method, has a stronger effect on decreasing maximum stress concentration of shape memory alloys (considering transformation and plasticity) compared to purely elastic stress concentration studies.
几何非均质智能结构的应力集中分析具有重要意义。本文利用一种考虑形状记忆合金相变和塑性的新本构模型,研究了圆形空腔板的应力集中系数(SCF),以及可能发生的局部相变、饱和和塑性的影响。结果表明,奥氏体相向马氏体相的转变导致SCF的降低。应力集中点相变饱和后,SCF增大,直至整个薄片进入马氏体相。在所研究的算例中,SCF达到5.8,大大高于弹性SCF。通过进入局部塑性区,SCF减小。此外,还对具有多个空腔的薄板进行了建模。结果表明,与单纯的弹性应力集中研究相比,额外孔作为一种应力消除方法对降低形状记忆合金的最大应力集中(考虑相变和塑性)具有更强的作用。
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引用次数: 0
3-D analytical solution of non-homogeneous transversely isotropic thick closed cylindrical shells 非均匀横观各向同性厚闭圆柱壳的三维解析解
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-07-07 DOI: 10.1177/03093247221110117
Z. Mohammadi, B. Navayi Neya, Azizollah Ardeshir‐Behrestaghi, P. D. Folkow
This paper presents an effective analytical method based on displacement potential functions (DPF) for solving 3D static problem of thick and multilayer transversely isotropic cylindrical shells with simply supported end boundary conditions. By using the DPF method, the three-dimensional elasticity equations are simplified and decoupled into two linear partial differential equations of fourth and second order as governing differential equations. The governing equations are solved by the separation of variable method in terms of fields that exactly satisfy end boundary conditions and the continuity of a closed cylinder in the hoop direction. The analysis covers a straightforward solution process for handling problems on multilayered cylindrical shells of transversely isotropic material, adopting all boundary and continuity conditions. Extensive sets of general radial loads located on the inner and outer faces of the cylindrical shell may be stated and examined with in a systematic manner. Comparisons are performed to other existing analytical results for one and multilayered cylindrical shells, and show excellent agreement for different materials, thicknesses and aspect ratios of the shell. In addition, various more involved problems are studied and solved analytically for single and three-layered shells of transversely isotropic material with different sets of radial loading functions at the outer and inner shell surfaces. The results of the present study can be used as benchmark solutions for other studies.
本文提出了一种基于位移势函数(DPF)的有效解析方法,用于求解具有简支端边界条件的厚多层横向各向同性圆柱壳的三维静力问题。采用DPF方法,将三维弹性方程简化解耦为两个四阶和二阶线性偏微分方程作为控制微分方程。采用分离变量法求解了完全满足端边界条件和封闭圆柱环向连续性的场的控制方程。该分析涵盖了横向各向同性材料多层圆柱壳问题的直接求解过程,采用了所有边界和连续性条件。位于圆柱形壳体内外表面的大量一般径向载荷可以用系统的方式陈述和检查。对单层圆柱壳和多层圆柱壳的分析结果与已有的分析结果进行了比较,结果表明,对于不同材料、厚度和长径比的圆柱壳,结果非常一致。此外,本文还研究了横向各向同性材料的单层和三层壳在壳体外表面和内表面具有不同组径向加载函数的各种复杂问题,并对其进行了解析求解。本研究的结果可以作为其他研究的基准解决方案。
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引用次数: 0
A computationally efficient C0 continuous finite element model for thermo-mechanical analysis of cross-ply and angle-ply composite plates in non-polynomial axiomatic framework 非多项式公理框架下交叉铺层和角铺层复合材料板热力学分析的高效C0连续有限元模型
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-07-02 DOI: 10.1177/03093247221107194
Y. S. Joshan, Aakash Soni, N. Grover
In the present article, the thermo-mechanical bending response of multi-layered composite plates is investigated in the framework of inverse-hyperbolic shear deformation theory using a generalized finite element model. The mathematical development is carried out under the assumptions of linear structural kinematics for the materials following generalized Hooke’s law. Energy-based finite element formulation and the principle of minimum potential energy are employed to develop the finite element governing equations. A computationally efficient C0 continuous finite element formulation is developed to examine the response of laminated composites subjected to constant, linear, and non-linear temperature change. Numerical analyses are carried out for composite laminates considering various lamination sequences (cross-ply as well as angle-ply), boundary conditions, loading conditions, span-thickness ratio, etc. The present results are compared with the existing analytical and numerical results and their agreement is observed. The effect of fiber orientation angle on bending response is analyzed to enable the optimal design of laminated composite structures under thermo-mechanical loading.
本文采用广义有限元模型,在反双曲剪切变形理论的框架下,研究了多层复合材料板的热-机械弯曲响应。根据广义胡克定律,在线性结构运动学假设下对材料进行了数学推导。采用基于能量的有限元公式和最小势能原理建立了有限元控制方程。开发了一种计算效率高的C0连续有限元公式,用于研究层合复合材料在恒定、线性和非线性温度变化下的响应。对复合材料层合板进行了数值分析,考虑了不同层合顺序(交叉层合和角层合)、边界条件、载荷条件、跨厚比等因素。本文的计算结果与已有的解析和数值计算结果进行了比较,两者吻合。分析了纤维取向角对复合材料弯曲响应的影响,为复合材料层合结构在热载荷作用下的优化设计提供了理论依据。
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引用次数: 0
Topological study about deformation behavior and energy absorption performances of 3D chiral structures under dynamic impacts 三维手性结构在动态冲击下的变形行为和吸能性能的拓扑研究
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-06-02 DOI: 10.1177/03093247221101803
Yuchen Wei, Chunyang Huang, Ling Ren, Yiming Liang, Zhaobo Wu, Mengqi Yuan
The dynamic deformation behavior and energy absorption characteristics of the 3D chiral structures were analyzed by the explicit dynamics analysis module of ANSYS/LS-DYNA. The 3D chiral structure arrayed with different micro-cell parameters cells are established. The respective influences of impact velocities, rotation angles, number and diameter of beams on the deformation behaviors, the dynamic plateau stresses, the absorbed energy, and crush stress efficiency (CSE) are explored in detail. It is shown that the 3D chiral structure exhibits torsional effect and has better energy absorption properties under low-speed impact. At high speed impact, the 3D chiral structure is affected by the impact reinforcement. This leads to a segmentation characteristic between plateau stress and impact velocity for 3D chiral structures. For the given impact velocity, the dynamic plateau stresses are related to the number and diameter of beam by a power law and a quadratic curves, respectively. The results of this study provide scientific guidance and technical support for the optimization and effective design of 3D chiral structures.
利用ANSYS/LS-DYNA显式动力学分析模块,分析了三维手性结构的动态变形行为和能量吸收特性。建立了具有不同微单元参数的三维手性结构。详细探讨了冲击速度、旋转角度、梁数和梁径对变形行为、动态平台应力、吸收能和压应力效率(CSE)的影响。结果表明,三维手性结构在低速冲击下表现出扭转效应,具有较好的吸能性能。在高速冲击下,三维手性结构受到冲击强化的影响。这导致了三维手性结构的平台应力和冲击速度之间的分割特征。在一定的冲击速度下,动态平台应力与梁数和梁径分别呈幂律关系和二次曲线关系。研究结果为三维手性结构的优化和有效设计提供了科学指导和技术支持。
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引用次数: 0
GFRP reinforced high performance glass–bolted joints: Development of a simplified finite element-based method for analysis 玻璃钢增强高性能玻璃螺栓连接:基于简化有限元分析方法的发展
IF 1.6 4区 工程技术 Q2 Mathematics Pub Date : 2022-05-31 DOI: 10.1177/03093247221101789
M. Achintha
This paper presents the development of finite element (FE)-based computational models that can be used for predicting the failure load of GFRP-reinforced annealed and heat-strengthened glass–bolted joints. Stress analysis of a single-bolt, single-glass-piece case was first carried out in order to develop the computational models and to establish an appropriate failure criterion for the GFRP-reinforced glass–bolted joints. The computational models were then calibrated against the experimental results reported in a previous experimental study involving reference and reinforced double-lap tension joint test specimens. The paper shows that the failure of both reference and reinforced glass–bolted joints can be predicted using the maximum principal-tensile-stress-based failure of glass. The results also confirm that the use of adhesively bonded GFRP reinforcement has potential to increase the load capacity of the reinforced glass–bolted joints compared to the reference glass–bolted joints.
本文介绍了基于有限元(FE)计算模型的发展,该模型可用于预测gfrp增强退火和热强化玻璃螺栓连接的破坏载荷。为了建立gfrp增强玻璃螺栓连接的计算模型和合理的破坏准则,首先对单螺栓、单玻璃片情况进行了应力分析。然后根据先前涉及参考和加固双搭接试件的实验研究报告的实验结果对计算模型进行校准。本文表明,用玻璃的最大主拉应力破坏可以预测参考节点和增强玻璃螺栓连接的破坏。结果还证实,与参考玻璃螺栓连接相比,使用粘接玻璃钢加固有可能提高增强玻璃螺栓连接的承载能力。
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引用次数: 0
期刊
Journal of Strain Analysis for Engineering Design
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