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Mesoscopic Strains Maps in Woven Composite Laminas During Off-axis Tension

机译:离轴张力期间编织复合层中的介观应变图。

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The mechanics of woven carbon-fiber reinforced plastic (CFRP) composites is influenced by the complex architecture of the reinforcement phase. Computational (i.e. finite element based) approaches have been used increasingly to model not only the global laminate stiffness, but also damage evolution and laminate strength. The modeling combines the identification of the architectural unit cell (UC), the selection of suitable constitutive models of the different phases, the creation of a fine discretization of the UC in finite elements, the application of an incremental solution procedure that solves iteratively for the stresses and strains in the UC, [1].The experimental validation of computational models is carried out mainly at the macroscopical level, i.e. simulation of the macroscopic stress-strain curve. Damage, however, is a localized, straindependent phenomenon and therefore only accurate strain distribution within the UC (at the mesolevel) can identify critical conditions in terms of damage location, extension and evolution.The validation of computational damage procedures is a key task and full-field optical strain analysis methods appear the ideal instrument. However, only limited examples of direct finte element method (FEM) vs experimental strain correlation are found because of the limited sensitivity and spatial resolution of some techniques and the complexity and applicative difficulty of others.The aim of the present paper is to present the application of the digital image correlation (DIC) technique, [2], to the full-field strain analysis at the mesoscopic level (i.e. within the UC) of a woven CFRP lamina when the direction of loading forms an angle to the material direction.The material under consideration is a woven carbon fiber reinforced epoxy composite. Orthogonal yarns, each made of of several thousand fibers, are woven according the twill-weave architecture is shown in Fig. 1a. Single-ply laminas were manufactured and tested to eliminate the random 3D influence of multiple-ply laminates and to favor computational model validation.Specimens with different loading directions with respect to the material principal directions were prepared and tested in a servo-hydraulic testing machine. Specimen surface preparation consisted in a speckle pattern generation to allow the application of the DIC tecnique. During the tensile experiment, the speckle pattern is recorded (frame rate of 0.1 picture/second) using a CCD camera equipped with a microscopic lens and adjustable light sources. In-house DIC software was used for in-plane displacement and strain determination and mapping.For brevity only the case of loading in the tow yarn direction is considered here. Fig. 1b shows a tipical strain map obtained with the DIC technique at an applied macroscopic strain of 0.9%. The strains are small but the DIC dechnique is sensitive enough and suitable filtering reduce the noise level of the strain maps. Strong local strain gradients are determined and referred to the yarnarchitecture in Fig. 1c. The DIC measurements were validated by averaging the strain over the field of view and comparingit with the macroscopic strain given by a high-sensitivity MTS extensometer.The mesoscopic srain data obtained with DIC are used to assess and validate parallel materialmodel development by direct FEM vs experimental strain correlation. Fig. 2a shows the FEMmodel of the unit cell for the twill-weave architecture with a detail of the yarn geometry and finiteelement discretization. Suitable boundary conditions are applied to the UC model contours beforethe analysis, [1]. Fig. 2b shows and example of the comparison of the local longitudinal FEM/DICstrain distribution along a transverse line of Fig. 1c. The comparison shows the excellent correlationachieved both in terms of gradients and absolute strain values, [3].
机译:碳纤维增强塑料编织(CFRP)复合材料的力学性能受增强相复杂结构的影响。计算(即基于有限元)方法已越来越多地用于不仅对整体层压板刚度建模,而且还对损伤演变和层压板强度建模。建模结合了建筑单位单元(UC)的识别,不同阶段的合适本构模型的选择,有限元中UC的精细离散化的创建,增量求解程序的应用,该迭代求解程序可以迭代求解UC中的应力和应变,[1]。计算模型的实验验证主要在宏观层面上进行,即宏观应力-应变曲线的模拟。但是,损伤是局部的,应变相关的现象,因此,只有UC内部(在中观水平)的精确应变分布才能从损伤的位置,扩展和演变方面识别关键条件。计算损伤过程的验证是一项关键任务,是充分的场光学应变分析方法似乎是理想的仪器。然而,由于某些技术的灵敏度和空间分辨率有限,而另一些技术的复杂性和应用困难性,仅发现了直接有限元方法(FEM)与实验应变相关性的有限实例。本论文的目的是提出应用当负载方向与材料方向成一定角度时,数字图像相关(DIC)技术[2]应用于编织CFRP薄片的介观水平(即UC内)的全场应变分析。正在考虑的材料是机织碳纤维增强环氧复合材料。正交纱线每条由几千根纤维制成,按照斜纹组织结构进行编织,如图1a所示。制造单层薄板并进行测试以消除多层层压板的随机3D影响并有利于计算模型验证。在伺服液压测试机中制备并测试了相对于材料主方向具有不同加载方向的试样。样品表面准备包括斑点图案的产生,以允许DIC技术的应用。在拉伸实验期间,使用配备有显微镜镜头和可调光源的CCD相机记录斑点图案(0.1帧/秒的帧速率)。内部DIC软件用于平面内位移,应变确定和映射。为简洁起见,此处仅考虑在丝束方向加载的情况。图1b示出了在0.9%的施加的宏观应变下通过DIC技术获得的尖端应变图。应变很小,但DIC技术足够灵敏,适当的滤波可以降低应变图的噪声水平。确定了强的局部应变梯度,并将其称为图1c中的纱线结构。通过对视场中的应变求平均值并与高灵敏度MTS引伸计所给出的宏观应变进行比较来验证DIC的测量结果。通过DIC获得的介观应变数据通过直接FEM与实验来评估和验证平行材料模型的发展应变相关。图2a显示了斜纹组织结构的单位单元的FEM模型,其中包括纱线几何形状和有限元离散化的详细信息。在分析之前,将合适的边界条件应用于UC模型轮廓[1]。图2b示出了沿图1c的横向线的局部纵向FEM / DIC应变分布的比较示例。比较表明,在梯度和绝对应变值方面都具有极好的相关性[3]。

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