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Inter-Element Crack Propagation with High-Order Stress Equilibrium Element 采用高阶应力平衡单元的单元间裂纹扩展
IF 1.5 Q3 Mathematics Pub Date : 2021-12-28 DOI: 10.1142/s1756973721440029
F. Parrinello, I. Benedetti
The present contribution proposes a formulation based on the use of hybrid equilibrium elements (HEEs), for the analysis of inter-element delamination and fracture propagation problems. HEEs are defined in terms of quadratic stress fields, which strongly verify both the homogeneous and inter-element equilibrium equations and they are employed with interfaces, initially exhibiting rigid behavior, embedded at the elements’ sides. The interface model is formulated in terms of the same degrees of freedom of the HEE, without any additional burden. The cohesive zone model (CZM) of the extrinsic interface is rigorously developed in the damage mechanics framework, with perfect adhesion at the pre-failure condition and with linear softening at the post-failure regime. After a brief review, the formulation is computationally tested by simulating the behavior of a double-cantilever-beam with diagonal loads; the obtained numerical results confirm the accuracy and potential of the method.
本贡献提出了一种基于混合平衡单元(HEE)的公式,用于分析单元间分层和断裂扩展问题。HEE是根据二次应力场定义的,它有力地验证了齐次和单元间平衡方程,并且它们与嵌入单元侧面的界面一起使用,最初表现出刚性行为。界面模型是根据HEE的相同自由度制定的,没有任何额外的负担。外部界面的内聚区模型(CZM)在损伤力学框架中得到了严格的发展,在破坏前具有完美的粘附性,在破坏后具有线性软化。在简要回顾后,通过模拟具有对角载荷的双悬臂梁的行为,对该公式进行了计算测试;数值计算结果证实了该方法的准确性和潜力。
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引用次数: 0
Residual Stress Around the Fatigue Crack front in a Rectangular Sample cut from CT Specimen 从CT试样上切割的矩形试样疲劳裂纹前缘周围的残余应力
IF 1.5 Q3 Mathematics Pub Date : 2021-12-20 DOI: 10.1142/s1756973721440030
A. Materna, H. Lauschmann, J. Ondracek
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引用次数: 0
Coupling BEM and VEM for the Analysis of Composite Materials with Damage 复合材料损伤分析的边界元法与向量法耦合
IF 1.5 Q3 Mathematics Pub Date : 2021-12-14 DOI: 10.1142/s1756973721440017
M. Lo Cascio, I. Benedetti
Numerical tools which are able to predict and explain the initiation and propagation of damage at the microscopic level in heterogeneous materials are of high interest for the analysis and design of modern materials. In this contribution, we report the application of a recently developed numerical scheme based on the coupling between the Virtual Element Method (VEM) and the Boundary Element Method (BEM) within the framework of continuum damage mechanics (CDM) to analyze the progressive loss of material integrity in heterogeneous materials with complex microstructures. VEM is a novel numerical technique that, allowing the use of general polygonal mesh elements, assures conspicuous simplification in the data preparation stage of the analysis, notably for computational micro-mechanics problems, whose analysis domain often features elaborate geometries. BEM is a widely adopted and efficient numerical technique that, due to its underlying formulation, allows reducing the problem dimensionality, resulting in substantial simplification of the pre-processing stage and in the decrease of the computational effort without affecting the solution accuracy. The implemented technique has been applied to an artificial microstructure, consisting of the transverse section of a circular shaped stiff inclusion embedded in a softer matrix. BEM is used to model the inclusion that is supposed to behave within the linear elastic range, while VEM is used to model the surrounding matrix material, developing more complex nonlinear behaviors. Numerical results are reported and discussed to validate the proposed method.
能够在微观水平上预测和解释非均质材料损伤的发生和扩展的数值工具对现代材料的分析和设计具有重要意义。在这篇贡献中,我们报告了在连续损伤力学(CDM)框架下,基于虚拟元法(VEM)和边界元法(BEM)之间耦合的最新开发的数值格式的应用,以分析具有复杂微观结构的非均质材料的材料完整性的逐渐损失。VEM是一种新颖的数值技术,允许使用一般多边形网格元素,确保在分析的数据准备阶段显着简化,特别是对于计算微力学问题,其分析领域通常具有复杂的几何形状。边界元法是一种被广泛采用的高效数值计算技术,由于其基本的公式,可以降低问题的维度,从而大大简化了预处理阶段,减少了计算量,而不影响解的精度。所实现的技术已被应用于人工微观结构,由嵌入在较软基体中的圆形硬夹杂物的横截面组成。边界元法用于模拟包裹体在线弹性范围内的行为,而VEM用于模拟周围的基体材料,产生更复杂的非线性行为。数值结果验证了所提出方法的有效性。
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引用次数: 2
Cyclic Loading on Damaged AA7075-T6 Specimens: Numerical Modelling and Experimental Testing 损伤AA7075-T6试件的循环加载:数值模拟与试验测试
IF 1.5 Q3 Mathematics Pub Date : 2021-12-13 DOI: 10.1142/s1756973721440054
E. V. Arcieri, S. Baragetti
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引用次数: 1
Crack Deflection Under Mixed-Mode Loading Conditions in Fine-Grained Composites Based on Water Glass-Activated Slag 水玻璃活性渣基细晶复合材料混合加载条件下裂纹挠度研究
IF 1.5 Q3 Mathematics Pub Date : 2021-12-13 DOI: 10.1142/s1756973721440042
L. Malíková, H. Šimonová, B. Kucharczyková
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引用次数: 0
An Integrated Multiscale Simulation Routine to Predict Mechanical Performance from Manufacturing Effects 从制造效应预测机械性能的集成多尺度仿真程序
IF 1.5 Q3 Mathematics Pub Date : 2021-10-29 DOI: 10.1142/s1756973721430010
M. Rouhi, V. Tan, T. Tay
Structural performance of unidirectional composites (UD) is directly dependent on its ingredient’s properties, ply configurations and the manufacturing effects. Prediction of mechanical properties using multiscale manufacturing simulation and micromechanical models is the focus of this study. Particular problem of coupled dual-scale deformation-flow process such as the one arising in RTM, Vacuum-Assisted Resin Infusion (VARI) and Vacuum Bag Only (VBO) prepregs is considered. A finite element formulation of porous media theory framework is employed to predict the element-wise local volume fractions and the deformation of a preform in a press forming process. This formulation considers coupling effects between macro-scale preform processes and mesoscale ply processes as well as coupling effects between the solid and fluid phases. A number of different micromechanical models are assessed and the most suitable one is used to calculate mechanical properties from volume fractions. Structural performance of the “deformed” geometry is then evaluated in mechanical analysis. An integrated platform is designed to cover the whole chain of analysis and perform the properties’ calculation and transfer them between the modules in a smooth mapping procedure. The paper is concluded with a numerical example, where a compression-relaxation test of a planar fluid filled prepreg at globally un-drained condition is considered followed by a mechanical loading analysis. The development is user friendly and interactive and is established to enable design and optimization of composites.
单向复合材料的结构性能直接取决于其成分的性能、层结构和制造效果。利用多尺度制造模拟和微观力学模型预测力学性能是本研究的重点。考虑了RTM、真空辅助树脂灌注(VARI)和纯真空袋(VBO)预浸料中出现的双尺度变形流耦合过程的特殊问题。采用多孔介质理论框架的有限元公式来预测冲压成形过程中预制件的单元局部体积分数和变形。该公式考虑了宏观尺度预制件过程和中尺度铺层过程之间的耦合效应,以及固相和液相之间的耦合作用。评估了许多不同的微观力学模型,并使用最合适的模型从体积分数计算力学性能。然后在力学分析中评估“变形”几何结构的结构性能。设计了一个集成平台来覆盖整个分析链,并在平滑的映射过程中执行属性计算和在模块之间传输。本文最后以一个数值例子结束,其中考虑了平面流体填充预浸料在全局未排水条件下的压缩松弛试验,然后进行了机械载荷分析。该开发是用户友好和交互式的,旨在实现复合材料的设计和优化。
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引用次数: 1
Investigation of Rotating Eddy Current Testing Simulation Using Simplified Model 基于简化模型的旋转涡流检测仿真研究
IF 1.5 Q3 Mathematics Pub Date : 2021-10-29 DOI: 10.1142/s1756973721420026
Chenkai Yang, Jiuhao Ge, Baowang Hu
To reduce the time of simulation for rotating Eddy current testing (RECT) technique, a simplified model without modeling probe was proposed previously. However, the applicability of the simplified simulation model was unknown. In this paper, the applicability of the simplified model for the RECT technique was investigated. The application condition of the simplified model was provided by comparing it with the results of the traditional simulation model. The simplified model was suitable for the study of cracks shorter than 70% size of the uniform Eddy current induced by the probe in a traditional model or experiment. The experiment was conducted to validate the simplified model. Moreover, using the simplified model, the effects of crack depth, orientation, and exciting frequency were studied. The deeper the crack depth was, the greater peak value of [Formula: see text] signal was. The crack angle was linear with the phase of signal. The exciting frequency affected the amplitude and phase of the signal at the same time.
为了减少旋转涡流检测(RECT)技术的模拟时间,以前提出了一种不建模探针的简化模型。然而,简化模拟模型的适用性尚不清楚。本文研究了简化模型在RECT技术中的适用性。通过与传统仿真模型结果的比较,给出了简化模型的应用条件。简化模型适用于研究在传统模型或实验中由探针引起的均匀涡流的尺寸小于70%的裂纹。实验对简化模型进行了验证。此外,使用简化模型,研究了裂纹深度、方向和激励频率的影响。裂纹深度越深,[公式:见正文]信号的峰值越大。裂纹角度与信号相位成线性关系。激励频率同时影响信号的幅度和相位。
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引用次数: 2
Micromechanical Modeling of Unidirectional CFRP Composites with Proportional Stressing 单向比例应力CFRP复合材料细观力学建模
IF 1.5 Q3 Mathematics Pub Date : 2021-10-25 DOI: 10.1142/s1756973721430022
Zhoucheng Su, Dan Wang, T. Guo, N. Sridhar
In this paper, we present a computational micromechanical analysis of unidirectional (UD) carbon fiber-reinforced plastics (CFRPs) using representative volume elements (RVEs). The RVEs consist of randomly distributed fibers, matrix, and interfaces between the fibers and matrix. Periodic boundary conditions (PBCs) and proportional stressing are implemented to facilitate micromechanical analysis of the composites under controlled stress states. In particular, the failure mechanisms of the RVEs under combined transverse and in-plane shear stressing are investigated. The ratio of in-plane shear stress over transverse stress is kept constant during each simulation. By varying this ratio, the mechanical responses of composites under different stress states are systematically studied and the failure envelopes for different fiber volume fractions are extracted. We find the failure envelope converges as the fiber volume fraction increases. The framework developed in this study can be extended to different stress states allowing us to conveniently examine the failure criteria for UD CFRP composites comprehensively.
在本文中,我们使用代表性体积单元(RVE)对单向(UD)碳纤维增强塑料(CFRP)进行了计算微观力学分析。RVE由随机分布的纤维、基质以及纤维和基质之间的界面组成。采用周期边界条件(PBC)和比例应力来促进复合材料在受控应力状态下的微观力学分析。特别是,研究了RVE在横向和平面内剪切应力组合作用下的破坏机制。平面内剪切应力与横向应力的比值在每次模拟过程中保持不变。通过改变这一比例,系统地研究了复合材料在不同应力状态下的力学响应,并提取了不同纤维体积分数下的失效包络线。我们发现失效包络随着纤维体积分数的增加而收敛。本研究中开发的框架可以扩展到不同的应力状态,使我们能够方便地全面检查UD-CFRP复合材料的失效标准。
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引用次数: 0
Multi-Timescale Simulations of Temperature Elevation for Ultrasonic Welding of CFRP with Energy Director 带能量导向器的CFRP超声波焊接温度场的多时间尺度模拟
IF 1.5 Q3 Mathematics Pub Date : 2021-10-25 DOI: 10.1142/s1756973721430034
Maruri Takamura, Kotaro Uehara, J. Koyanagi, Shinichi Takeda
Ultrasonic welding is an energy-efficient technology that enables quick bonding of thermoplastic composite materials under normal temperature and pressure conditions. Here, numerical multi-timescale simulation is proposed to understand the welding principle, using numerical simulations of ultrasonic welding. The simulation results are validated by comparing with temperature measurements in welding tests. In the multi-timescale simulations, microsecond-scale simulations are performed first. The ultrasonic wave is modeled as a vibration load, and the energy dissipation per vibration at 25, 75, 125, 175, 225, and 275∘C is analyzed. Then, the time derivative of the temperature rise is obtained. In the normal scale simulations, the ultrasonic wave and holding pressure are replaced by a constant load, and the entire process of ultrasonic welding is simulated. The slope of the temperature rise is fitted to the time derivative of the temperature rise obtained from the microsecond-scale simulations, using the material constant as a parameter. Explicit multi-timescale simulations were performed to investigate the relationship between stress concentration and temperature rise due to ED geometry. The result reveals similar temperature behavior to the experimental one, indicating the validity of the multi-timescale method. It suggests that viscoelastic energy dissipation and stress concentration are responsible for the temperature spike.
超声波焊接是一种节能技术,能够在正常温度和压力条件下快速粘合热塑性复合材料。本文提出了利用超声波焊接的数值模拟来理解焊接原理的多时间尺度数值模拟。通过与焊接试验中的温度测量值进行比较,验证了模拟结果。在多时间尺度模拟中,首先进行微秒尺度的模拟。超声波被建模为振动载荷,并分析了25、75、125、175、225和275°C下每次振动的能量耗散。然后,得到温度上升的时间导数。在正常规模的模拟中,超声波和保压被恒定载荷取代,并模拟了超声波焊接的整个过程。使用材料常数作为参数,将温升的斜率拟合为从微秒级模拟中获得的温升的时间导数。进行了显式多时间尺度模拟,以研究ED几何形状引起的应力集中和温度升高之间的关系。结果表明,该方法的温度行为与实验结果相似,表明了该方法的有效性。这表明粘弹性能量耗散和应力集中是温度尖峰的原因。
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引用次数: 4
Investigation on Thrust and Torque Generation During Drilling of Hybrid Laminates Composite with Different Stacking Sequences Using Multiobjective Optimization Module 用多目标优化模块研究不同堆叠顺序的复合材料钻孔过程中产生的推力和扭矩
IF 1.5 Q3 Mathematics Pub Date : 2021-10-09 DOI: 10.1142/s1756973721500098
A. Dubey, J. Kumar, S. Kesarwani, R. Verma
This paper highlights the reinforcement of two different fibers in the manufacturing of hybrid laminate composites. The feasibility of glass and carbon fiber-based hybrid composites is proposed for various high performances due to their versatile mechanical properties. However, anisotropic and non-homogeneity nature creates several machining challenges for manufacturers. It can be regulated through the selection of proper cutting conditions during the machining test. The effect of process constraints like spindle speed (rpm), feed rate (mm/min), and stacking sequences ([Formula: see text] was evaluated for the optimum value of thrust force and Torque during the drilling test. The cost-effective method of hand layup has been used to fabricate the composites. Four different hybrid composites were developed using different layers of carbon fiber and glass fiber layers. The outcomes of variables on machining performances were analyzed by variation of feed rate and speed to acquire the precise holes in the different configurations. The application potential of the proposed composites is evaluated through the machining (drilling) efficiency. The optimal condition for the drilling procedure was investigated using the multiobjective optimization-Grey relation analysis (MOO-GRA) approach. The findings of the confirmatory test show the feasibility of the MOO-GRA module in a machining environment for online and offline quality control.
本文重点介绍了两种不同纤维在混杂层压复合材料制造中的增强作用。由于玻璃基和碳纤维基复合材料具有多种多样的力学性能,因此提出了复合材料具有多种高性能的可行性。然而,各向异性和非均匀性给制造商带来了一些加工挑战。在加工试验时,可通过选择适当的切削条件进行调节。评估了主轴转速(rpm)、进给速度(mm/min)和堆叠顺序(公式:见文)等工艺约束对钻孔试验中推力和扭矩的最佳值的影响。采用经济有效的手工铺层方法制备复合材料。采用不同的碳纤维层和玻璃纤维层制备了四种不同的杂化复合材料。通过改变进给速度和进给速度,分析各变量对加工性能的影响,得到不同结构下的精密孔。通过加工(钻孔)效率来评价复合材料的应用潜力。采用多目标优化-灰色关联分析(MOO-GRA)方法对钻井工艺的最优条件进行了研究。验证性试验结果表明,该MOO-GRA模块在加工环境下进行在线和离线质量控制的可行性。
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引用次数: 0
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Journal of Multiscale Modelling
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