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Virtual Testing Integration and Material Allowables Generation 虚拟测试集成和材料允许值生成
Pub Date : 1900-01-01 DOI: 10.23967/composites.2021.013
S. Miot, L. Barrière, J. Casero, M. Lozzo
Reducing uncertainties and therefore risks in structural design implies determining accurate statistically-based properties of the material. IRT Saint-Exupéry has been developing a software solution called VIMS that uses the GEMS open source python library [1] to generate material allowables. VIMS offers a framework to integrate, evaluate and use advanced composites models in association with experimental data post-processing, decision-making support and an innovation-friendly environment that facilitates the deployment within design offices. Fig.1 illustrates the strategies implemented in VIMS.
减少结构设计中的不确定性和风险意味着确定准确的基于统计的材料特性。IRT saint - exupsamry一直在开发一个名为VIMS的软件解决方案,该解决方案使用GEMS开源python库[1]来生成材料允许值。VIMS提供了一个框架,可以集成、评估和使用先进的复合材料模型,并结合实验数据后处理、决策支持和创新环境,促进设计办公室的部署。图1说明了在VIMS中实现的策略。
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引用次数: 0
High-cycle Fatigue Optimization of Laminated Composite Structures 层合复合材料结构的高周疲劳优化
Pub Date : 1900-01-01 DOI: 10.23967/composites.2021.081
S. Hermansen, E. Lund
Structural design against fatigue failure is typically a comprehensive exercise. This is particularly the case for laminated composite structures due to the added complexity associated with their multi-directional behavior, resulting in materialand load-dependent failure modes. In fatigue analysis, these factors materialize as a non-linear relationship between reversals to failure and mean stress, load sequence effects as well as stiffness and strength degradation that also have to be taken into account. To minimize the material use in composite structures, it is desirable to apply structural optimization. In this work, a methodology for gradient-based high-cycle fatigue optimization of general laminated composite structures is presented. An efficient approach for fatigue topology optimization was demonstrated in [1] by the use of an aggregation function to reduce the amount of fatigue damage measures from local finite element quantities to a single global measure. This is utilized with the adjoint method to efficiently compute gradients by solving only an extra set of linear equations where the factored stiffness matrix is reused. This same approach is adopted for solving the present problem. Parametrization of the structure is done by Discrete Material and Thickness Optimization (DMTO) approach [2], such that an optimized combination of material, fiber orientation, layup sequence, and layer thickness is sought. The fatigue analysis approach used in this work is typically employed in the wind turbine industry for blade design, see e.g. [3]. Offset is taken in variable amplitude loading, which is quantified by Rainflow counting yielding a set of scaling factors for determining amplitude and mean stress. Proportional loading is assumed, meaning the computationally expensive Rainflow counting only has to be performed once during the optimization. A constant life diagram approach is used to calculate an equivalent stress from the amplitude and mean components, taking into account mean stress of various magnitudes by interpolating between their respective SN curves. Reversals to failure are then computed from the SN curves, which are constructed using a data-fitted power law. Damages are then summed using cumulative methods such as linear and non-linear Palmgren-Miner sum. A number of structural optimization examples including fatigue constraints will demonstrate the potential of this approach.
抗疲劳破坏的结构设计通常是一项综合性的工作。对于层压复合材料结构来说尤其如此,因为其多向行为增加了复杂性,导致材料和载荷相关的失效模式。在疲劳分析中,这些因素体现为失效逆转与平均应力、载荷序列效应以及刚度和强度退化之间的非线性关系,这些因素也必须考虑在内。为了最大限度地减少复合材料的使用,需要对复合材料进行结构优化。本文提出了一种基于梯度的复合材料层合结构高周疲劳优化方法。文献[1]证明了一种有效的疲劳拓扑优化方法,该方法使用聚合函数将疲劳损伤测度从局部有限元量减少到单个全局测度。这是利用伴随方法有效地计算梯度,只需求解一组额外的线性方程,其中因子刚度矩阵被重用。解决目前的问题也采用了同样的方法。通过离散材料和厚度优化(DMTO)方法对结构进行参数化[2],从而寻求材料、纤维取向、铺层顺序和层厚的优化组合。这项工作中使用的疲劳分析方法通常用于风力涡轮机行业的叶片设计,参见示例[3]。在可变振幅加载中采取偏移,通过雨流计数量化,产生一组用于确定振幅和平均应力的缩放因子。假设成比例加载,这意味着计算上昂贵的雨流计数只需要在优化期间执行一次。采用恒寿命图方法从幅值分量和均值分量计算等效应力,并通过在各自的SN曲线之间插值来考虑不同量级的平均应力。然后从SN曲线计算失败的反转,SN曲线使用数据拟合的幂律构造。然后使用线性和非线性Palmgren-Miner和等累积方法对损害求和。包括疲劳约束在内的许多结构优化示例将证明这种方法的潜力。
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引用次数: 0
Process Induced Deformations and Residual Stresses in Curved Composite Parts: A Parametric Analysis 弯曲复合材料零件的工艺诱发变形和残余应力:参数分析
Pub Date : 1900-01-01 DOI: 10.23967/composites.2021.092
E. Zappino, M. Petrolo, N. Zobeiry, E. Carrera
The manufacturing process of composite materials leads to residual stresses and process-induced deformations. These defects originate from the thermoset resin’s curing process, and the thermo-elastic loads originated by the curing cycle [1]. The extent of residual stresses and deformations can be affected by many parameters, e.g., stacking sequence, part geometry, curing cycle, tool-part interaction, tool material. Curved parts, such as L-shaped components, undergo severe residual deformations, referred to as spring-in angle. The prediction of these phenomena requires the use of refined numerical models. The three-dimensional nature of the problem and the multiple physical fields involved make classical models ineffective. The use of solid elements leads to accurate results but requires a very high computational cost. An efficient numerical approach for predicting the spring-in angle of composite parts has been presented recently [2]. The use of higher-order finite elements has been demonstrated to be as accurate as a three-dimensional model with a fraction of the computational cost. The present work exploits the computational efficiency of this model [3] to investigate the effects of many parameters on residual stresses and process-induced deformations of L-shaped composite parts. A large simulation matrix has been considered, including a combination of different stacking sequences, tool materials, curing cycles, and part geometries. The effects of each of those parameters on the spring-in angle have been evaluated. The use of a layer-wise model has allowed the effects of each parameter on the residual stresses to be investigated. The
复合材料的制造过程会产生残余应力和加工变形。这些缺陷源于热固性树脂的固化过程,以及固化周期产生的热弹性载荷[1]。残余应力和变形的程度可以受到许多参数的影响,例如,堆叠顺序,零件几何形状,固化周期,工具-零件相互作用,工具材料。弯曲的部件,如l形部件,经历严重的残余变形,称为弹簧入角。对这些现象的预测需要使用精细的数值模型。问题的三维性质和涉及的多个物理场使得经典模型无效。使用固体元可以得到准确的结果,但需要很高的计算成本。最近提出了一种预测复合材料零件弹簧入角的有效数值方法[2]。高阶有限元的使用已被证明与计算成本的一小部分的三维模型一样精确。本文利用该模型的计算效率[3],研究了许多参数对l型复合材料零件残余应力和工艺诱发变形的影响。考虑了一个大的模拟矩阵,包括不同堆叠顺序、刀具材料、固化周期和零件几何形状的组合。评估了这些参数对弹簧入角的影响。使用分层模型可以研究每个参数对残余应力的影响。的
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引用次数: 0
Characterization of Interlaminar Friction During Forming Processes of Thermoplastic CFRP Materials 热塑性CFRP材料成形过程中层间摩擦的表征
Pub Date : 1900-01-01 DOI: 10.23967/composites.2021.064
M. Fagerström, G.Catalanotti, Campos Daniel, Maimí Pere, López Sergi, Martín Alberto
This paper describes the experimental work carried out to characterize the interlaminar friction phenomena during dynamic forming processes for thermoplastic composites materials. First, Differential Scanning Calorimetry (DSC) and Dynamic Mechanical Analysis (DMA) were conducted to study the microstructural behaviours of both target materials: UD PEEK (Polyetheretherketone) and UD PAEK (Polyaryletherketone) prepregs. Second, a set of experiments inspired by the work of Murtagh [1], Vanclooster [2], and Sachs [3] was performed to obtain the dependency of the different parameters, such as temperature, pressure, and pulling rate on the interlaminar friction coefficient and shear stress. The proposed experimental process was a horizontal pull-out fixed-plies test. This rig consisted of pulling out a ply that lays in between two fixed plies. A machine applied a relative sliding motion between the middle ply and the fixed ones by loading the system in tension while a normal force was applied. A load cell was placed between the clamping and the pulling machine to measure the friction force. Temperatures
本文描述了热塑性复合材料动态成形过程中层间摩擦现象表征的实验工作。首先,采用差示扫描量热法(DSC)和动态力学分析(DMA)研究了两种目标材料聚醚醚酮(聚醚醚酮)和聚芳醚酮(聚醚醚酮)预浸料的微观结构行为。其次,受Murtagh[1]、Vanclooster[2]和Sachs[3]工作的启发,进行了一系列实验,得到了温度、压力、拉拔速率等不同参数对层间摩擦系数和剪切应力的依赖关系。提出的实验过程为水平拉出固定层试验。该钻机包括抽出位于两个固定层之间的层。在施加法向力的同时,机器在中间层和固定层之间施加相对滑动运动。在夹紧机和拉紧机之间放置称重传感器以测量摩擦力。温度
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引用次数: 0
An Arc-Length Solver with Dissipation Path-Following for Complex Analysis of Brittle Failure and Stability of Composite Structures 复合材料结构脆性破坏与稳定性复杂分析的耗散路径跟踪弧长求解器
Pub Date : 1900-01-01 DOI: 10.23967/composites.2021.120
Elias I. B¨orjesson, Martin Fagerstr¨om, J. Remmers
.
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引用次数: 0
Inverse Differential Quadrature Method for 3d Static Analysis of Composite Beam Structures 复合梁结构三维静力分析的逆微分正交法
Pub Date : 1900-01-01 DOI: 10.23967/composites.2021.099
S. O. Ojo, C. Luan, Trinh, P. M. Weaver
Modelling of laminated structures requires adequate computational frameworks which can accurately estimate displacement and stress fields resulting from systems of high-order partial differential equations [1]. The recently developed inverse differential quadrature method (iDQM) [2] shows promising outcomes for obtaining solution of high-order systems of equation. In this study, we perform static analysis of composite structures based on the theory of Unified Formulation (UF) and mixed methods, comprising of a combination of high-order Finite Element (FE) Method and the new iDQM. According to the theory of UF, a 3D structure is geometrically reconfigured by separating the kinematics governing the 2D cross-section from the 1D axial deformation. In this context, the so-called Serendipity Lagrange Element [3] is employed in a FE framework to capture the cross-sectional deformation with enhanced accuracy without the need for remeshing or loss of numerical stability. On the other hand, the deformation of the refined 1D structure is captured by a new iDQM-based beam element which is either characterised by approximation of derivatives of intermediate order (in a mixed iDQM framework) or highest derivatives (in a full iDQM framework) of the 1D displacement fields. By invoking plane strain and simple support conditions, FE-iDQM predictions of stresses for different lami-nate configurations show good agreement with Pagano’s exact solution and compare well with DQM solutions with the same level of discretisation as shown in Figure 1.
层合结构的建模需要足够的计算框架,可以准确地估计由高阶偏微分方程组产生的位移和应力场[1]。最近发展起来的逆微分求积法(iDQM)[2]在求解高阶方程组方面显示出良好的结果。在本研究中,我们基于统一公式(UF)理论和混合方法对复合材料结构进行了静力分析,混合方法包括高阶有限元(FE)方法和新的iDQM方法的结合。根据UF理论,通过将控制二维截面的运动学与一维轴向变形分离,对三维结构进行几何重构。在这种情况下,在有限元框架中采用所谓的Serendipity Lagrange Element[3],在不需要重新网格划分或失去数值稳定性的情况下,以提高精度捕获截面变形。另一方面,精细一维结构的变形由一个新的基于iDQM的梁单元捕获,该梁单元的特征是一维位移场的中间阶导数(在混合iDQM框架中)或最高导数(在完整iDQM框架中)的近似。通过调用平面应变和简单支撑条件,FE-iDQM对不同层状结构的应力预测与Pagano的精确解非常吻合,并且与具有相同离散化水平的DQM解相比较,如图1所示。
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引用次数: 4
Scalable Localized Model Order Reduction Applied to Composite Aero-Structures 可伸缩局部模型降阶在复合材料航空结构中的应用
Pub Date : 1900-01-01 DOI: 10.23967/composites.2021.010
J. Bénézech, L. Seelinger, T. Dodwell, P. Bastian, Robert Scheichl, R. Butler
The CerTest project aims at developing a new design/certification process, adapted to composites for aerospace application. The quantification of uncertainties, arising from material variability and experimental measurements for example, forms a critical challenge. When applied to large scale composite parts, the primary challenge is the cost of the associated numerical simulation required to evaluate the material response for a (typically large) set of parameters. To this end, a GMsFEM [1] type method has been chosen to efficiently simulate large parts (up to a billion dofs) without scale separation, illustrated on Figure 1. Variants of GMsFEM differ in their choice of local basis: a suitable choice for structural mechanics is the one derived from the Generalized Eigenvalue problem for Overlapping subdomains (GenEO) [2]. To be integrated in a stochastic framework the computational cost is divided into two phases: offline and online. In the offline phase, the GenEO coarse space is generated using a parallel setting for a given set of parameters (i.e. a pristine part). During this phase, information is stored; a database is hence initiated. The online phase is dedicated to assess the effect of one or multiple changes in the parameters (such as a defect). This offers huge computational savings for large components, since the majority of basis functions are simply loaded from the database. Thus, online phases can be carried out on single processors, freeing parallel
CerTest项目旨在开发一种新的设计/认证过程,适用于航空航天应用的复合材料。不确定性的量化,例如由材料变异性和实验测量引起的不确定性,构成了一个关键的挑战。当应用于大型复合材料部件时,主要的挑战是评估材料响应(通常是大)参数集所需的相关数值模拟的成本。为此,选择了一种GMsFEM[1]类型的方法来有效地模拟大型零件(高达十亿点),如图1所示。GMsFEM的各种变体在局部基的选择上有所不同:适合于结构力学的选择是由重叠子域的广义特征值问题(GenEO)得出的[2]。为了在随机框架中进行整合,将计算成本分为离线和在线两个阶段。在脱机阶段,使用一组给定参数(即原始部件)的并行设置生成GenEO粗空间。在这个阶段,信息被存储;数据库因此被启动。在线阶段专门用于评估参数中的一个或多个变化(例如缺陷)的影响。这为大型组件提供了巨大的计算节省,因为大多数基函数只是简单地从数据库加载。因此,在线阶段可以在单个处理器上进行,从而释放并行
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引用次数: 0
Numerical Analisys of Guided Ultrasonic Wave Propagation in Fiber Metal Laminates 金属纤维层合板中导波传播的数值分析
Pub Date : 1900-01-01 DOI: 10.23967/composites.2021.008
A. Mikhaylenko, N. Bellam-Muralidhar, N. Rauter, D. Lorenz, R. Lammering
Fiber metal laminates (FML) combine the ductile properties of metal with the high specific stiffness of fiber reinforced plastics. FML also offer substantial reduction in weight along with excellent fatigue strength. These features of FML lead to a dramatic rise of interest in such ma-terials for aeronautical structures lately. However, one of the most vulnerable failures for FML is impact-related delamination which is not detectable with the naked eye. Such damage has to be detected in time to enable a possible repair. Structural health monitoring with the guided ultrasonic waves (GUW) could potentially serve the purpose of damage detection in thin structures by using the physical phenomena of wave propagation interacting with structure defects [1]. The focus this work is on the numerical simulation of GUW propagation in FML structures. The investigation of this subject follows as forward and inverse problem analysis. Based on an already existing 2D model a 3D finite element model is developed using COMSOL Multiphysics® Software involving the excitation of waves and observing its propagation in the structure. One crucial aspect here is the model discretization and hence, the corresponding element size. To validate the numerical model the wave propagation and the resulting displacement field are compared to the analytical solution derived from the dispersion relation. In this context a mode selective excitation is used in order to have a clear observation and to be able to separate different wave modes.
纤维金属层压板(FML)结合了金属的延展性和纤维增强塑料的高比刚度。FML还提供了大量的重量减轻以及优异的疲劳强度。FML的这些特点导致了最近对这种航空结构材料的兴趣急剧上升。然而,FML最脆弱的故障之一是与冲击相关的分层,这是肉眼无法检测到的。必须及时发现这种损坏,以便进行可能的修复。利用超声导波传播与结构缺陷相互作用的物理现象,对薄结构进行结构健康监测有可能达到损伤检测的目的[1]。本文的工作重点是GUW在FML结构中传播的数值模拟。本课题的研究分为正反问题分析。基于已经存在的二维模型,使用COMSOL Multiphysics®软件开发了三维有限元模型,涉及波的激发并观察其在结构中的传播。这里的一个关键方面是模型离散化,因此,相应的元素大小。为了验证数值模型,将波的传播和位移场与由频散关系得到的解析解进行了比较。在这种情况下,模式选择激励是为了有一个清晰的观察和能够分离不同的波模式。
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引用次数: 0
Numerical Determination of the Effects of Out-of-Plane Waviness in Thermoplastic Matrix Laminates 热塑性基质层合板中面外波度影响的数值测定
Pub Date : 1900-01-01 DOI: 10.23967/composites.2021.032
C. Fougerouse, C. Fagiano, M. Hirsekorn, F. Laurin, M. Desailloud, M. Herman
Composite laminates with thermoplastic matrices are potential candidates for structural applications in aerospace. As a new material, investigations are needed to support parts quality definition. Indeed, manufacturing defects, such as out-of-plane waviness, may be accepted in composite structures if they do not significantly affect the performances of the part. Waviness defects are known for having an impact on the longitudinal compressive strength [1, 2]; but they were mainly studied in thermoset matrix components. The objective of this study is to numerically assess the effects of out-of-plane waviness within laminates with unidirectional plies (made of carbon fibres and a thermoplastic matrix), on the elastic properties and, damage onset and kinetics. An experimental campaign was performed at ONERA to calibrate and validate the numerical results. First, an analytical description of defect geometries is proposed based on experimental observations of specimens of industrial interest. The extracted parameters have a physical meaning, e.g. the defect extent or the amplitude. The parametrised description
具有热塑性基体的复合层压板是航空航天结构应用的潜在候选者。作为一种新材料,需要对零件的质量定义进行研究。事实上,制造缺陷,如面外波纹,在复合材料结构中是可以接受的,如果它们不会显著影响部件的性能。众所周知,波纹状缺陷对纵向抗压强度有影响[1,2];但它们主要是在热固性基体组分中进行研究的。本研究的目的是在数值上评估具有单向层合板(由碳纤维和热塑性基体制成)的面外波纹对弹性性能、损伤发生和动力学的影响。在ONERA进行了实验活动,以校准和验证数值结果。首先,基于工业样品的实验观察,提出了缺陷几何形状的分析描述。提取的参数具有物理意义,例如缺陷程度或幅度。参数化描述
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引用次数: 0
Quasi-Isotropic Carbon-Carbon Hybrid Laminate: Static and Low-Cyclic Performance 准各向同性碳-碳混合层压板:静态和低循环性能
Pub Date : 1900-01-01 DOI: 10.23967/composites.2021.028
S. Sapozhnikov, M. Gundappa, S. Lomov, Y. Swolfs, V. Carvelli
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引用次数: 0
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VIII Conference on Mechanical Response of Composites
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