引用本文: 黄行蓉, 李敏, Jean-PierreLAINE. 旋量理论及其在材料力学中的应用. 力学与实践, xxxx, x(x): 1-9.
Huang Xingrong, Li Min, Jean-pierre LAINE. Torseur theory and its application in the strength of materials. Mechanics in Engineering, xxxx, x(x): 1-9.
 Citation: Huang Xingrong, Li Min, Jean-pierre LAINE. Torseur theory and its application in the strength of materials. Mechanics in Engineering, xxxx, x(x): 1-9.

## TORSEUR THEORY AND ITS APPLICATION IN THE STRENGTH OF MATERIALS

• 摘要: 旋量理论是为力学量身定制的数学工具，在描绘刚体运动时表现出独特优势。基于材料力学中的平截面假设，构件的截面运动可分解为形心位移以及截面绕形心的旋转，从而可将截面运动视为刚体运动，故可采用旋量理论刻画构件截面的运动和受力。该描述方式在数学形式上具有统一性，在物理现象上能对应实际受载和变形的一般性，可将力学问题转变成基于旋量运算法则求解的数学问题。本研究期望能为我国材料力学教学提供新视角和新思路。

Abstract: Torseur theory is a mathematical tool tailored for mechanics, and it has advantages in describing the motion of rigid bodies. Based on the plain cross-sectional hypothesis in the strength of materials, the motion of a component's cross-section can be decomposed into displacement of the section center and rotation around the centroid. Therefore, the cross-section motion can be regarded as rigid body motion, and torseur theory can be used to describe the motion and force of components, providing a unified form from the mathematical perspective, and offering generality when dealing with combined deformation from the physical perspective. Moreover, the structural system force analysis described by the mathematical language turns the analysis of complex problems into formalized mathematical problems that can be solved based on the torseur operation rules. It is hoped that this research can provide new perspectives and ideas for the teaching of material mechanics in China.

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