同济大学航空航天与力学学院,上海,200082
纸质出版:2019
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黄争鸣. 玻璃钢用增强纤维布方向角与克重设计[J]. 航空制造技术, 2019, 62(4): 14-21.
HUANG Zhengming. Design on Fiber Arrangement Angles and Areal Weights of Glass Fiber Reinforced Plastics. Aeronautical Manufacturing Technology, 2019, 62(4): 14-21.
黄争鸣. 玻璃钢用增强纤维布方向角与克重设计[J]. 航空制造技术, 2019, 62(4): 14-21. DOI: 10.16080/j.issn1671-833x.2019.04.014.
HUANG Zhengming. Design on Fiber Arrangement Angles and Areal Weights of Glass Fiber Reinforced Plastics. Aeronautical Manufacturing Technology, 2019, 62(4): 14-21. DOI: 10.16080/j.issn1671-833x.2019.04.014.
纤维布是玻璃钢(玻璃纤维增强塑料)增强体的主要结构形式。在纤维和基体性能及纤维体积含量固定之后,玻璃钢产品的机械性能完全取决于纤维布的结构特性,即纤维方向角和相应克重。通过试验确定这些参数难度高,不仅花费巨大,而且难以达到最优。介绍了如何根据纤维和基体性能参数,对任意多轴纤维布的方向角与克重进 行设计。经典层合板理论确定每一层玻璃钢分担的载荷后,桥联模型计算出纤维和基体的均值应力,再将这些均值量转换成真实值,进而与纤维和基体的强度对比,判定单层是否破坏。若破坏源自纤维或源自基体但整体应变中的最大值超过临界值,对应的外载定义为纤维布浸胶后所能承受的极限载荷。设计公式皆为显式,设计结果与试验吻合良好,为工程应用提供了一条有效途径。
Fiberglass preforms or fabrics are the main structural form for making glass fiber reinforced plastics (abbreviated to FRPs). Once the fiber and matrix properties as well as fiber volume content are fixed
the mechanical properties of the FRP products are predominantly dependent on the structural parameters of the fabrics
i.e.
fiber arrangement angles and areal weights. It is a difficult task to experimentally determine those parameters. Not only does high expenditure both in time and in money have to be spent
but also it is hardly possible to obtain an optimized design only through the trialand-error tests. This paper describes how to design the two structural parameters of any multiaxial fabric only based on the mechanical properties of the fiber and matrix materials. The load shared by any layer of the FRP is determined through the classical laminate theory
whereas the homogenized stresses in the fiber and matrix of this layer are calculated using micromechanics Bridging Model. The homogenized quantities are then converted into true stresses before compared with the fiber and matrix strength data to assess whether or not the layer is failed. If there is a fiber failure
or there is a matrix failure together with a maximum strain of the laminate which is greater than a critical value
the corresponding load applied on the FRP is defined as its ultimate strength. All of the design formulae involved are explicit and analytical
and the designed performances of the resulting FRPs agree well with the experimental counterparts. The present work provides an efficient methodology for engineering applications.
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