材料力学应力状态与线性代数知识点的交叉教学研究

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摘 要 通过将材料力学理论与线性代数课程交叉教学，建立两门课程间的知识联系。以材料力学中的应力分析章节为具体依托，探讨了两门课程中的知识点交叉，强化了学生对材料力学中主应力的理解，又赋予线性代数中特征值和特征向量以物理意义，最终达到提升教学效果和激发学生创新性思维的目的。

关键词 材料力学 线性代数 交叉 主应力 特征值

中图分类号：G424                                   文献标识码：A    DOI：10.16400/j.cnki.kjdk.2021.10.036

Abstract Through the cross teaching of mechanics of materials and linear algebra， the knowledge connection between the two courses is established. Based on the chapter of stress analysis in mechanics of materials， this paper discusses the intersection of knowledge points in the two courses， strengthens students' understanding of principal stress in mechanics of materials， and endows eigenvalues and eigenvectors in linear algebra with physical meaning， so as to improve teaching effect and stimulate students' innovative thinking.

Keywords material mechanics; linear algebra; cross; principal stress; characteristic value

0 引言

力學的相关课程是与数学联系最为紧密的课程，力学同时也是连接工程的主要桥梁。（剩余2563字）