https://www.zhuzhugst.com/ 2026-04-22T00:26:10+00:00 https://www.zhuzhugst.com/ https://www.zhuzhugst.com/lib/exe/fetch.php?media=logo.png text/html 2025-12-01T05:19:36+00:00 Anonymous (anonymous@undisclosed.example.com) https://www.zhuzhugst.com/doku.php?id=%E6%9C%89%E9%99%90%E5%8D%95%E5%85%83%E6%B3%95:%E5%BC%B9%E6%80%A7%E5%8A%9B%E5%AD%A6%E5%9F%BA%E6%9C%AC%E5%85%AC%E5%BC%8F&rev=1764566376&do=diff 弹性力学基础教程：从三维到二维 本教程旨在梳理弹性力学的核心理论框架，对比三维空间与二维平面问题（平面应力与平面应变）的数学描述。 1. 基本变量 (Basic Variables) 在弹性力学中，我们需要求解物体内部的应力、应变和位移。$(x, y, z)$$u, v, w$$x, y, z$$\varepsilon_x, \varepsilon_y, \varepsilon_z$$\gamma_{xy}, \gamma_{yz}, \gamma_{zx}$$\sigma_x, \sigma_y, \sigma_z$$\tau_{xy}, \tau_{yz}, \tau_{zx}$$\tau_{xy}=\tau_{yx}$$x-y$$u, v$$\varepsilon_x, \varepsilon_y, \gamma_{xy}$$\sigma_x, \sigma_y, \tau_{xy}$$$ \begin{cases} \frac{\partial \sigma_x}{\partial x} + \frac{\partial \tau_{yx}}{\partial y} +…