应力应变状态与强度理论

[!NOTE]约定主应力按代数值排序 $\sigma_1 \ge \sigma_2 \ge \sigma_3$;拉应力为正,压应力为负。一、应力状态1、应力是位置的函数材料中不同点处的应力一般不同:$$ \sigma=\sigma(x) $$更一般地,三维连续体中某点的应力状态可由应力张量表示:$$ \boldsymbol{\sigma} = \begin{bmatrix} \sigma_x & \tau_{xy} & \tau_{xz}\\ \tau_{yx} & \sigma_y & \tau_{yz}\\ \tau_…
Axial Loading

I. Concepts and ExamplesThe bars is subjected to a pair of longitudinal forces with equal magnitude and opposite directions, and the line of action forces coincides with the axis of the bar.II. Internal Forces and Stress1. Internal forceBecause the action line of the external for…
Stress and String

I. StressThe internal force of a member is not uniformly distributed in most cases, so the definition of internal force concentration is not only accurate but also important, because failure or damage often starts from the place where the internal force concentration is the great…
Introduction of Mechanics of Materials

I. Introduction1. An Overview of Mechanics of MaterialsMechanics of materials mainly studies the deformation of deformable body under external forces,, the additional internal forces caused by the deformation, the failure caused by the internal forces, and the criteria to avoid/c…