三维六向编织复合材料渐进损伤模拟及强度预测

基于三维六向编织复合材料的细观结构,假设第六向纱线的截面形状为菱形,建立了三维六向编织复合材料的渐进损伤有限元模型。采用Linde等提出的失效准则,引入周期性位移边界条件,对三维六向编织复合材料的纵向拉伸应力-应变行为进行了渐进损伤数值模拟,讨论了单胞模型在纵向拉伸载荷作用下的细观损伤起始、扩展和最终失效的演化过程,并预测了材料的拉伸强度。在此基础上,进一步研究了编织角、纤维体积分数和编织纱水平取向角等参数对材料纵向拉伸力学性能的影响规律。研究结果表明,三维六向编织复合材料的轴向纱线拉伸断裂是导致其破坏的最主要因素。所得数值结果与现有试验值吻合较好,验证了该模型的有效性,为更深入研究此类材料的力学性能奠定了基础。     

基于均匀化理论的三维编织复合材料细观应力数值模拟

从基于小参数渐近展开和摄动方法的均匀化理论出发,给出了求解细观应力的数学表达式。通过有限元方法对三维编织复合材料的细观应力场进行数值模拟,并结合适当的强度准则对拉伸极限强度下单元的失效情况进行判断,得出材料强度的一种细观失效判据。通过该方法得到的应力计算结果与实验结论基本相符。      

三维四步编织复合材料刚度和强度的数值模拟

为了研究三维四步法编织复合材料的力学性能,利用ANSYS有限元软件对材料的细观体胞模型进行数值模拟,计算三维编织复合材料的宏观弹性常数,讨论了纤维编织角和体积比对弹性常数的影响。采用不同的强度准则分别对纤维束和基体材料进行强度校核,从而得到材料发生破坏时失效单元的体积百分比。根据失效单元的分布情况分析材料的破坏机理,进而预报材料的拉伸强度。模拟计算结果与实验值吻合较好。     

三维五向编织复合材料渐进损伤分析的数值方法

基于连续损伤理论, 推导了含损伤裂纹的正交各向异性材料的应力-应变关系。建立了考虑界面脱粘破坏的三维五向编织复合材料细观体胞模型, 并将有限元网格尺寸和单元裂纹尺寸引入损伤演化方程。采用Hashin准则和von-Mises准则分别判断纱线与基体的初始损伤, 结合Eshelby-Mori-Tanaka方法确定材料的刚度退化系数。利用ANSYS有限元软件对材料进行渐进损伤分析, 得到了材料在单向拉伸作用下的应力-应变曲线和极限强度。计算结果表明, 轴纱为材料的主要承力部分, 小编织角材料的破坏模式主要为纱线的拉伸断裂, 界面破坏情况较为严重。模拟计算结果与实验结果吻合较好。     

编织复合材料拉伸力学性能的研究

针对三维四向和五向编织复合材料进行了拉伸实验, 从宏观角度研究了它们的力学行 为, 获得了这些材料的主要力学性能参数及变形、破坏规律。基于宏观实验, 本文还对拉伸试件断 口进行了扫描电镜测试, 从细观角度对编织复合材料的破坏机制作了分析, 得到一些重要结论。 这些结果为进一步研究编织复合材料的强度失效问题奠定了实验基础。      

基于均匀化理论的三维编织复合材料弯曲细观应力数值模拟

从基于小参数渐近展开的多尺度均匀化理论出发,对三维编织复合材料的弯曲细观应力进行数值模拟。首先给出了等效弹性模量和细观应力的均匀化列式及有限元求解方程,然后讨论了三维编织复合材料细观单胞周期性边界条件的施加方法,最后对三点弯曲作用下三种单胞内应力分布进行了数值模拟。通过模拟比较了不同类型单胞及不同编织角材料弯曲应力的差异,总结出一些有益的结论,这些结论与实验结论都比较吻合。     

二步法方型三维编织复合材料力学性能及影响因素

对具有不同细观结构参数的二步法方型三维编织复合材料试件进行了轴向拉伸、三点弯曲及轴向压缩的力学性能测试,获得了这种结构材料的基本力学性能数据。针对其细观结构特点,从宏观角度分析了编织纱的种类、编织纱与轴纱的线密度之比以及编织节距长度等参数对力学性能的影响。实验和分析结果表明:二步法方型三维编织复合材料的轴纱对轴向拉伸和压缩性能起主导作用;节距长度增大,编织纱越粗,轴向拉伸强度、拉伸模量以及轴向压缩强度和模量均有增大的趋势。      

含界面相三维全五向编织复合材料拉伸行为模拟及失效机制研究

基于三维全五向（Q5D）编织复合材料的细观结构模型,通过引入界面相单元,建立了含界面相Q5D编织复合材料单轴拉伸损伤失效分析模型。应用Python语言实现对ABAQUS的二次开发,将Linde等提出的失效准则和Von-Mises应力准则分别用于纱线和基体的渐进损伤判断,并确定材料的整体失效模式;对于界面相,采用Quads准则进行损伤判断。利用周期性位移边界条件,对含界面相Q5D编织复合材料的纵向拉伸应力-应变行为进行了渐进损伤数值模拟,详细讨论了在纵向拉伸载荷作用下材料的细观损伤起始、扩展和最终失效的演化过程,分析了材料的细观损伤失效机制,预测了材料的极限破坏强度,并研究了界面相性能对材料整体力学行为的影响规律。研究结果表明,数值模拟结果与实验值吻合较好,验证了渐进损伤模型的有效性,为该类材料的力学分析和优化设计奠定了基础。     

碳纤维三维编织复合材料的结构对拉伸和弯曲性能的影响

研究了碳纤维四步法三维四向、三维五向编织结构复合材料的拉伸和弯曲性能,以及结构参数-编织角的变化对其拉伸和弯曲性能的影响,并与层合复合材料作了对比性研究.结果表明,三维编织复合材料具有良好的力学性能,其拉伸强度可达810MPa、拉伸模量可达95.6GPa,弯曲强度可达829.03MPa、弯曲模量可达67.5GPa.同时,编织角和编织结构对复合材料性能有较大的影响.随着编织角的增大,复合材料的拉伸、弯曲强度和模量均减小;三维五向结构的拉伸、弯曲强度和模量均高于四向结构;在纤维体积含量相近的情况下,通过对编织角的设计,可以设计三维编织复合材料的性能.     

三维四向编织复合材料力学性能预测及实验验证

基于三单胞模型,分别采用刚度平均化理论和数值分析方法对编织角为20°,30°,45°的三维四向编织复合材料的弹性常数及其随编织角变化规律进行预测,并在MTS试验机上开展了静态拉伸实验。结合理论分析、数值仿真与实验测试结果,发现随着编织角的增大,纤维束的刚度在纵向分量减小,而在横向分量增加,因此三维四向编织复合材料纵向刚度逐渐减小,横向刚度和横向剪切刚度逐渐增大。实验结果还发现不同编织角的复合材料纵向拉伸曲线具有较大差异,20°编织角实验件呈现线弹性,30°编织角实验件呈现非线性,45°实验件呈现双线性;而三种编织角的实验件的横向拉伸力学行为基本呈线性。通过与实验件纵横向拉伸实验结果对比,发现刚度平均化方法和数值模拟方法对三维编织复合材料编织方向刚度预测较为准确,但由于忽略了纤维与基体脱胶现象,对横向刚度预测偏差较大。     

Asymptotic expansion homogenization for simulating progressive damage of 3D braided composites

In order to study tensile strength of 3D braided composites in the microscope view, non-linear progressive damages under tensile loading steps are conducted in this article. Micro-stress is simulated firstly by the method of Asymptotic Expansion Homogenization (AEH) combined with finite-element analysis. A criterion is approached to determine damage and its mode of each element, and stiffness degradation is implemented for the damaged elements with geometric damage theory. Furthermore, the tensile strengths are predicted from calculated stress–strain curves. From simulation, the damage mode for small braiding angle and large braiding angle is different at all. More damage elements are observed in face cell than in body cell. The tensile strength decreases with increase of braiding angle, but the fracture strain has different development. It is verified that 3D braided composites with small braiding angle have better strength but poorer ductility than the composites with large braiding angle.     

Numerical Study on the Tensile Behavior of 3D Four Directional Cylindrical Braided Composite Shafts

The tensile behavior of 3D four directional cylindrical braided composite shafts was analyzed with the numerical method. The unit cell models for the 3D four directional cylindrical braided composite shafts with various braiding angles were constructed with ABAQUS. Hashin’s failure criterion was used to analyze the tensile strength and the damage evolution of the unit cells. The influence of the braiding angle on the tensile behavior of the 3D four directional cylindrical braided composite shafts was analyzed. The numerical results showed that the tensile strength along the braiding direction increased as the braiding angle decreased. These results should play an integral role in the design of braiding composites shafts.     

三维四向编织碳纤维/环氧树脂复合材料在热环境中的拉压力学性能实验

针对不同编织角度的三维四向编织碳纤维/环氧树脂复合材料,进行了热环境下的轴向拉伸和压缩力学性能实验研究,讨论了温度对三维四向编织复合材料的轴向拉伸和压缩力学性能的影响,并根据宏观断裂形貌和SEM图像分析了材料的破坏和断裂机制。结果表明,随着测试温度的升高,三维四向编织碳纤维/环氧树脂复合材料的纵向拉伸强度有小幅提高,而纵向压缩强度显著降低。在室温条件下,编织角对材料的纵向拉伸破坏特征没有影响,而对材料的纵向压缩破坏特征有较大影响。随着测试温度的升高,不同编织角度复合材料的纵向拉伸和压缩的损伤破坏形态均与室温条件下明显不同。      

Process parameters design of a three-dimensional and five-directional braided composite joint based on finite element analysis

This paper presents an analytical method for designing the configuration of composite joint with three-dimensional (3D) five-directional braided composites. Based on the analysis of 3D braided structure characteristics, the elastic properties of the 3D five-directional braided composites were determined by the volume averaging method. The effects of the braiding angle and fiber volume fraction on the elastic constants of the braided composites were also discussed. Finite element analysis on the load capacity of the 3D five-directional braided composite joint was implemented using the software ANSYS Workbench 14.0. The influence of braiding angle on the stress, strain and deformation of the composite joint under tensile loading were calculated. The results show that when the fiber volume fraction of the 3D five-directional braided preform is given, the equivalent stress of the composite joint decreases monotonically as the braiding angle increases, while the normal stress, maximum principal stress and total deformation firstly decreases and then increases. Based on the finite element analysis, we found that at the fiber volume fraction of 60%, the braiding angle within the range of 30–35° are the optimum processing parameters for the 3D five-directional braided composite joint structure that used in the tensile load 320 N condition.     

The prediction on mechanical properties of 4-step braided composites via two-scale method

The two-scale method (TSM) is successfully applied to the prediction for the mechanics parameters of 4-step three dimensional braided composites, including stiffness parameters and strength parameters. The two independent micro-structure parameters, the braiding angle and the fiber volume fraction, are investigated in this paper. Both of them are implicitly included in the fabric of the unit cell of 4-step braided composites with 1 × 1 pattern. They directly influence the strength of 4-step braided composites, including tensile strength, bending strength and torsion strength. And then, the curves of the strength along with the braiding angle and the fiber volume fraction are illustrated. By the comparisons with experimental data, the two-scale method is validated to predict the mechanics parameters of 4-step braided composite materials.     

三维五向编织复合材料纵向性能的实验研究

通过对具有不同编织结构参数的三维五向编织复合材料试件的纵向拉伸和压缩实验,分析了该类材料的纵向拉、压刚度和强度随编织工艺参数的变化规律以及材料的失效形式.三维五向编织复合材料在破坏前基本保持线弹性,纵向拉、压破坏具有脆性特征,拉伸模量和压缩模量比较接近,但拉伸强度远大于压缩强度.编织角和纤维体积含量对材料性能的影响显著,纱线粗细的影响不大.提高第五向纱线的比例,可提高材料的纵向性能.此外,研究中采用短标距薄板试件,以避免试件产生整体屈曲和端部纤维束开裂破坏.     

Finite Element Analysis of Thermo-Mechanical Properties of 3D Braided Composites

This paper presents a modified finite element model (FEM) to investigate the thermo-mechanical properties of three-dimensional (3D) braided composite. The effective coefficients of thermal expansion (CTE) and the meso-scale mechanical response of 3D braided composites are predicted. The effects of the braiding angle and fiber volume fraction on the effective CTE are evaluated. The results are compared to the experimental data available in the literature to demonstrate the accuracy and reliability of the present method. The tensile stress distributions of the representative volume element (RVE) are also outlined. It is found that the stress of the braiding yarn has a significant increase with temperature rise; on the other hand, the temperature change has an insignificant effect on the stress of the matrix. In addition, a rapid decrease in the tensile strength of 3D braided composites is observed with the increase in temperature. It is revealed that the thermal conditions have a significant effect on the strength of 3D braided composites. The present method provides an effective tool to predict the stresses of 3D braided composites under thermo-mechanical loading.     

Microstructural Modeling and Second-Order Two-Scale Computation for Mechanical Properties of 3D 4-Directional Braided Composites

This study is concerned with the microstructural modeling and mechanical properties computation of three-dimensional (3D) 4-directional braided composites. Microstructure of the braided composite determines its mechanical properties and a precise geometry modeling of the composite is essential to predict the material properties. On the basis of microscopic observation, a new parameterized microstructural unit cell model is established in this paper. And this model truly simulates the microstructure of the braided composites. Furthermore, the mathematical relationships among the structural parameters, including the braiding angle, fiber volume fraction and braiding bitch, are derived. By using the unit cell model, the second-order two-scale (SOTS) method is applied to predict the mechanical properties of 3D 4-directional braided composites, including stiffness parameters and strength parameters. Besides, the effects of the braiding angle and fiber volume fraction on the elastic constants are investigated in detail. Numerical results show that the predictive stiffness and strength parameters are in good agreement with the available experimental data, which demonstrate that the established unit cell model is applicable and the second-order two-scale method is valid to predict the mechanical properties of 3D 4-directional braided composites.