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武立生同志在《力学与实践》1980年第4期“莫尔圆的妙用”一文中论述了莫尔圆在应力状态理论中和在求惯性矩、惯性积中的应用。我在本文中将对莫尔圆应用在计算散粒体塑性区的开展方面作进一步的探讨。当散粒体在条形荷载作用下,可根据弹性理论求得其中任一微元体上的σ_x、σ_z和τ_(xz)(包括自重应力等引起),再由材料力学求得二个互为垂直的面上作用着的最大主应力σ_1和最小主应力σ_3(图1)。在σ-τ
Comrade Wu Lisheng discussed the application of the Mohr’s circle in the theory of stress states and in the calculation of the moment of inertia and inertial product in the article “The Magical Use of the Mohr Circle” in the fourth issue of Mechanics and Practice, 1980. In this article, I will further discuss the application of Mohrball in the calculation of the development of the plastic zone of bulk particles. When the granular bodies are under the action of a strip load, the σ_x, σ_z, and τ_(xz) (including self-weight stress, etc.) on any one of the microelements can be obtained according to the elastic theory, and then the two can be obtained from the material mechanics. The maximum principal stress σ_1 and the minimum principal stress σ_3 acting on the vertical plane (Fig. 1). Σ-τ