引用本文: 刘华, 周思聪. 浅谈材料力学冲击应力分析的基本假设1)[J]. 力学与实践, 2022, 44(1): 192-196.
LIU Hua, ZHOU Sicong. ISCUSSION ON THE FUNDAMENTAL HYPOTHESIS FOR IMPACT STRESS ANALYSIS IN MECHANICS OF MATERIALS1)[J]. MECHANICS IN ENGINEERING, 2022, 44(1): 192-196.
 Citation: LIU Hua, ZHOU Sicong. ISCUSSION ON THE FUNDAMENTAL HYPOTHESIS FOR IMPACT STRESS ANALYSIS IN MECHANICS OF MATERIALS1)[J]. MECHANICS IN ENGINEERING, 2022, 44(1): 192-196.

## ISCUSSION ON THE FUNDAMENTAL HYPOTHESIS FOR IMPACT STRESS ANALYSIS IN MECHANICS OF MATERIALS1)

• 摘要: 在材料力学教材中,常采用能量法进行冲击应力分析。在教学过程中发现,学生对该理论的适用范围不够清晰,忽略或不能够准确理解基本假设在该问题中的重要性。本文以杆件承受轴向撞击为例,利用弹性动力学理论和有限元方法,给出了杆件受到冲击载荷时的实际动力学响应过程,对比了不同质量比撞击情况下材料力学能量法与弹性动力学理论和有限元方法预测结果的差别,并阐明了导致该差别的主要原因,帮助学生了解利用能量法分析冲击应力问题时基本假设的重要性,对学生建立合理简化的力学模型解决工程问题有一定教学意义。

Abstract: The energy method is often used to analyze the stresses in members under impact loading in mechanics of materials. In the process of teaching, it is found that students are not clear about the application range of the theory and neglect or misunderstand the significance of the fundamental hypothesis in the theory. This paper takes a bar under axial impact as an example. By using the theory of elastodynamics and finite element method, the actual dynamic response in the bar is illustrated. The theoretical predictions from the energy method, elastodynamics, and finite element method for different impact mass ratios are compared and explained in order to help students understand the importance of the fundamental hypothesis in the analysis of stress of members under impact loading by using the energy method in mechanics of materials, which enables students to establish simple and reliable mechanical models to solve engineering problems.

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