单聚合物链在电弹性问题中的不稳定性

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics Pub Date : 2024-07-25 DOI:10.1016/j.ijnonlinmec.2024.104855

Sugeng Waluyo

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引用次数: 0

摘要

在顺应电极产生的电负荷作用下，介电弹性体容易产生材料不稳定性，而这种不稳定性在微观结构层面上可能与单聚合物链的不稳定性有关。为了揭示这种联系是否存在，我们旨在使用单聚合物链的电弹性能量模型来研究链的不稳定性。我们利用空间坐标中的三角函数数列来近似计算电加载下链的曲率形状。然后应用 Rayleigh-Ritz 方法求解三角级数形成的能量方程。我们在数值示例中证明，在电场值与链的相应配置接近全长时，可能会出现链的不稳定性。

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Instability of single polymer chain in an electroelastic problem

Under electric loading produced by compliant electrodes, a dielectric elastomer is prone to material instabilities which, in a microstructural level, may connect to single polymer chain instability. To reveal if such connection exists, we aim to use an electroelastic energy model for single polymer chain to study the chain instability. We approximate curvature shape of the chain under the electric loading by using trigonometry series in a spatial coordinate. The Rayleigh–Ritz method is then applied to solve the energy equation formed by the trigonometry series. We demonstrate in the numerical examples that the instability of the chain may occur at the value of electric field with corresponding configuration of the chain close to its full length.

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来源期刊

International Journal of Non-Linear Mechanics 物理-力学

CiteScore

5.50

自引率

9.40%

发文量

192

审稿时长

67 days

期刊介绍： The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas. Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.