Size-dependent thermoelastic initially stressed micro-beam due to a varying temperature in the light of the modified couple stress theory

• 作者: A.E.ABOUELREGAL
• 来源期刊: 应用数学和力学（英文版）
• 学科: 物理学
• 年，卷（期）: 2020,（12）
• 页码范围: 1805-1820
• 页数: 16页
• 分类号: O321|O327|O343
• 语种: 英文

摘要

The bending of the Euler-Bernoulli micro-beam has been extensively modeled based on the modified couple stress (MCS) theory.Although many models have been incorporated into the literature, there is still room for introducing an improved model in this context.In this work, we investigate the thermoelastic vibration of a micro-beam exposed to a varying temperature due to the application of the initial stress employing the MCS theory and generalized thermoelasticity.The MCS theory is used to investigate the material length scale effects.Using the Laplace transform, the temperature, deflection, displacement, flexure moment, and stress field variables of the micro-beam are derived.The effects of the temperature pulse and couple stress on the field distributions of the micro-beam are obtained numerically and graphically introduced.The numerical results indicate that the temperature pulse and couple stress have a significant effect on all field variables.