Shape memory alloys (SMAs), known for their unique superelastic effect, exhibit superior mechanical properties compared to traditional materials. In this study, the reproducing kernel particle method (RKPM) is applied to investigate the superelastic effect of the SMAs. A segmented linearization RKPM model is developed to establish the stress–strain relationship for the superelastic effect, and relevant formulas of superelasticity for the SMAs are derived. Finally, the applicability and accuracy of the RKPM in analyzing the superelastic effect of the SMAs are demonstrated through numerical examples.

中文翻译：

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基于再现核粒子法的形状记忆合金超弹性研究

形状记忆合金（SMA）以其独特的超弹性效应而闻名，与传统材料相比，表现出卓越的机械性能。在本研究中，应用再生核粒子法（RKPM）来研究 SMA 的超弹性效应。开发了分段线性化 RKPM 模型来建立超弹性效应的应力-应变关系，并推导了 SMA 超弹性的相关公式。最后，通过数值算例证明了RKPM在分析SMA超弹性效应方面的适用性和准确性。