承受k/r型剪应力作用楔形体问题的应力解

Stress Solution of the Wedge Under k/r Type Shearing Stress

对非对称楔形体在楔面承受各种不同荷载作用下的弹性应力解进行了比较系统的研究．首先利用应力函数及其导数在楔形体边界上的力学意义和海维赛（Ｈｅａｖｉｓｉｄｅ）函数，求出了在楔面下部承受ｋ／ｒ型剪应力作用下非对称楔形体问题的弹性应力的一般解，然后，令楔面角α和β取不同的值，可以得到各种不同问题的弹性应力解，如边坡问题和１／４平面问题的弹性应力解．其结果可为实际工程问题提供理论依据．

In order to make a systematic study to elasticity stress answer of asymmetric wedge under various loads,and provide a theory basis for engineering problem,The paper utilizes mechanics meaning of stress function and its derivative to the boundary of wedge and the method of Heaviside Fumction,calculaten elasticity stress answer of asymmetric wedge under bear k/r type shearing stress at the bottom of the wedge.And,commanding wedge angle α and β getting various valus,It obtains various problem elasticity stress answers,for example,border slope and 1/4 plane problem elasticity stress answer.The conclusion has both theoretical and practical value.