New method for predicting the wrinkling stress in sandwich panels

IF 2.2 3区 工程技术 Q2 MECHANICS Archive of Applied Mechanics Pub Date : 2024-11-23 DOI:10.1007/s00419-024-02718-y
Wenzheng Su, Shutian Liu
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Abstract

It is necessary to accurately and efficiently calculate the wrinkling stresses of sandwich panels under in-plane compression. However, the simple equations used in engineering may obtain inaccurate results, whereas finite element methods with higher accuracy may be computationally expensive. This study proposes a new method for solving the wrinkling problem of sandwich panels using structural optimization theory at a low computational cost. A sandwich panel was divided into several virtual plies, which were assigned design variables to describe the vertical displacement during wrinkling. The wrinkling stress was obtained by minimizing the admissible in-plane compressive stress. The method was verified using finite element and experimental methods, as good agreement was found. The differences were less than 5% and 20% with the finite element and experimental results, respectively. Moreover, this method can easily compute the wrinkling stress of sandwich panels with functionally graded material cores with a little increase in computational cost. This method allows engineers to compute the wrinkling stress effectively and efficiently without the need for complex numerical models.

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预测夹芯板起皱应力的新方法
有必要准确有效地计算夹芯板在平面压缩下的起皱应力。然而,工程中使用的简单方程可能会得出不准确的结果,而精度更高的有限元方法可能计算成本高昂。本研究提出了一种利用结构优化理论以较低计算成本解决夹芯板起皱问题的新方法。夹芯板被分为若干虚拟层,这些虚拟层被赋予设计变量,以描述起皱过程中的垂直位移。褶皱应力通过最小化容许面内压应力获得。使用有限元和实验方法对该方法进行了验证,结果表明两者吻合良好。与有限元结果和实验结果的差异分别小于 5%和 20%。此外,该方法只需增加少量计算成本,就能轻松计算具有功能分级材料芯材的夹芯板的起皱应力。这种方法使工程师无需复杂的数值模型就能高效计算起皱应力。
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来源期刊
CiteScore
4.40
自引率
10.70%
发文量
234
审稿时长
4-8 weeks
期刊介绍: Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.
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