诗说连续介质力学

CONTINUUM MECHANICS IN REGULATED POEMS

  • 摘要: 介绍在连续介质力学教学过程中创作的九首五言律诗《连续介质》《张量二首》《变形二首》《守恒》《应力》《模型》《纳维–斯托克斯方程》,其内容涉及连续介质力学的基本概念、方程和连续介质力学的基本语言——张量,反映建立连续介质数学模型的基本思想——建立用来描述连续介质状态的一组宏观参量所满足的封闭方程组。诗后附有简短的解释。

     

    Abstract: This paper presents nine five-character regulated poems composed during the teaching of continuum mechanics, entitled Continuum media, Tensors (two poems), Deformation (two poems), Conservation laws, Stress, Models, and The Navier-Stokes equation. The poems cover fundamental concepts and governing equations of continuum mechanics, as well as tensors—the essential language of continuum mechanics, and reflect the core philosophy underlying the formulation of mathematical models for continuum media, namely, the construction of a closed system of equations governing a set of macroscopic variables that describe the state of the medium. Each poem is accompanied by a brief explanatory note.

     

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