通过修正聚合物复合材料试样挠度估算层间剪切模量的改进方法

IF 0.9 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Inorganic Materials Pub Date : 2024-07-30 DOI:10.1134/s0020168524700183
A. N. Polilov, D. D. Vlasov, N. A. Tatus
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引用次数: 0

摘要

摘要与金属相比,聚合物纤维复合材料的剪切和层间特性在变形和断裂过程中起着决定性作用。有鉴于此,我们开发了特殊方法,通过挠度修正来确定短梁的层间抗弯强度和层间剪切模量。同时,关于剪应力分布的公认假设,例如基于 Zhuravsky 公式的假设,过于简单,无法提供高精度的校正确定和剪切模量计算。对正交梁采用 Saint-Venant-Lekhnitzky 解法,而不是最简单的抛物线分布,有可能考虑到梁中出现的所有剪应力及其在梁高和梁宽上的分布,从而分别提高确定挠度修正和层间剪切模量的精度。由于严格的解法是以一系列双曲函数的形式呈现的,因此其实际应用相当困难。本研究提出了用更简单的二次函数对严格解进行精确近似的方法,从而可以高精度地确定挠度修正和剪切模量。使用所提出的近似方法表明,对于实际的梁型复合材料试样,在考虑到梁宽度上应力不均匀性的情况下,使用细化的剪应力分布与根据 Zhuravsky 公式简化的抛物线分布相比,所产生的挠度修正小得可以忽略不计。使用有限元方法进行了数值验证。对不同宽度的玻璃纤维试样进行的特殊三点弯曲试验也表明,挠度不会随着梁宽的增加而增加,这说明剪应力的异质性对挠度的影响微乎其微。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

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Refined Method for Estimating the Interlayer Shear Modulus by Correcting the Deflection of Polymer Composite Specimens

Abstract

The shear and interlayer characteristics of polymer fiber composites, in contrast to metals, play a decisive role in the deformation and fracture processes. In view of this, special methods have been developed to determine the interlayer flexional strength of a short beam and the interlayer shear modulus by the deflection correction. At the same time, the accepted hypotheses about the distribution of shear stresses, for example, those based on the Zhuravsky formula, are too simple and do not provide the determination of the correction and calculation of the shear modulus with a high accuracy. The use of the Saint-Venant–Lekhnitzky solution for an orthotropic beam instead of the simplest parabolic distribution potentially makes it possible to take into account all shear stresses occurring in a beam and their distribution over the beam height and width, which should increase the accuracy of determining the deflection correction and interlayer shear modulus, respectively. Since the strict solution is presented in a series of hyperbolic functions, its practical use is rather difficult. In this study, an exact approximation of the strict solution by simpler quadratic dependences is proposed, which makes it possible to determine the deflection correction and shear modulus with a high accuracy. It is shown using the proposed approximation that, for real beam-type composite specimens, the use of the refined shear stress distribution with allowance for the nonuniformity of stresses over the beam width yields a deflection correction negligibly small as compared with the case of the simplified parabolic distribution according to the Zhuravsky formula. The numerical verification using the finite element method has been carried out. Special three-point bending tests of fiberglass specimens of different widths have also showed no deflection growth with increasing beam width, which points out an insignificant impact of the heterogeneity of shear stresses on the deflection.

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来源期刊
Inorganic Materials
Inorganic Materials 工程技术-材料科学:综合
CiteScore
1.40
自引率
25.00%
发文量
80
审稿时长
3-6 weeks
期刊介绍: Inorganic Materials is a journal that publishes reviews and original articles devoted to chemistry, physics, and applications of various inorganic materials including high-purity substances and materials. The journal discusses phase equilibria, including P–T–X diagrams, and the fundamentals of inorganic materials science, which determines preparatory conditions for compounds of various compositions with specified deviations from stoichiometry. Inorganic Materials is a multidisciplinary journal covering all classes of inorganic materials. The journal welcomes manuscripts from all countries in the English or Russian language.
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