扁平纤维增强试样在轴向压缩中的剪切屈曲模式和破坏 2.具有 [0]s 层叠结构的试样的数值方法、实验和数值研究

IF 1.5 4区 材料科学 Q4 MATERIALS SCIENCE, COMPOSITES Mechanics of Composite Materials Pub Date : 2024-01-19 DOI:10.1007/s11029-023-10157-z
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引用次数: 0

摘要

文章[1]的第一部分提出了一个物理和几何上的非线性边界值问题,描述了[0]s 层叠的纤维增强塑料杆的压缩过程。该杆具有矩形横截面和薄弹性侧片。边界值问题被简化为包含第二类 Volterra 积分算子的积分代数平衡方程组。为了找到数值解,我们使用了积分矩阵变体中的有限和方法。该方法的优点是可以在解的大梯度区域对计算网格进行局部加厚。根据所构建的算法,开发了一个应用软件包。计算实验的结果表明,按照最常用的一种试验方案进行压缩试验的试样,主要在局部横向剪应力达到极限值时失效。应力集中区的剪切屈曲模式也可能导致破坏。通过采用二次近似建立的精炼几何和物理非线性变形模型,并考虑横向剪切应变和横向压缩,可以识别这些模式。为了验证所开发的数值方法,我们在[0]s 层叠的单向碳纤维增强试样上进行了物理实验。实验结果表明,研究的理论和实验结果非常吻合。
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Shear Buckling Mode and Failure of Flat Fiber- Reinforced Specimens in the Axial Compression 2. Numerical Method, Experimental and Numerical Investigations of the Specimens with a [0]s Layup

In the first part of the article [1], a physically and geometrically nonlinear boundary-value problem, that describes the compression of a fiber-reinforced plastic rod with [0]s layup, was formulated. The rod had a rectangular cross-section and thin elastic side tabs. The boundary-value problem was reduced to a system of integral-algebraic equilibrium equations containing Volterra integral operators of the second type. To find its numerical solution, the method of finite sums in the variant of integrating matrices was used. The advantage of the method is the possibility of a strong local thickening of the computational grid in the region of large gradients of solutions. Based on the algorithm constructed, an application software package was developed. The results of computational experiments showed that the test specimens under compression according to one of the most commonly used test schemes predominantly failed when the localized transverse shear stresses reached their ultimate values. Failure was also possible according to the shear buckling mode in stress concentration zones. The identification of such modes was possible by using a proposed refined geometrically and physically nonlinear deformation model built in the quadratic approximation with account of transverse shear strains and transverse compression. To verify the numerical method developed, physical experiments were carried out on unidirectional carbon-fiber-reinforced specimens with [0]s layup. They showed a good agreement between the theoretical and experimental results of the research.

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来源期刊
Mechanics of Composite Materials
Mechanics of Composite Materials 工程技术-材料科学:复合
CiteScore
2.90
自引率
17.60%
发文量
73
审稿时长
12 months
期刊介绍: Mechanics of Composite Materials is a peer-reviewed international journal that encourages publication of original experimental and theoretical research on the mechanical properties of composite materials and their constituents including, but not limited to: damage, failure, fatigue, and long-term strength; methods of optimum design of materials and structures; prediction of long-term properties and aging problems; nondestructive testing; mechanical aspects of technology; mechanics of nanocomposites; mechanics of biocomposites; composites in aerospace and wind-power engineering; composites in civil engineering and infrastructure and other composites applications.
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