空心球体在内外压力作用下的有限位移问题
On the Finite Displacement Problem of a Hollow Sphere under Internal and External Pressures
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摘要: 利用逐次逼近法求解了这个边值问题.我们找到一次解和二次解,从而获致位移场,应变场和应力场的二级近似公式.Abstract: Taking advantage of successive approximations, the present boundary-value problem is solved. We find the first-order and second-order solutions, and therefore we obtain the formulae in the second approximation for the displacement, strain, and stress fields.
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[1] 黄择言,圆筒在内外压力作用下的有限位移问题,应用数学和力学,5, 4(1984), 589-602. [2] 钱伟长、叶开沅,《弹性力学》,科学出版社(1956). [3] Saada,A.S.,Elasticity.Theory and Applications.Pergamon,New York(1974). [4] Sokolnikoff I.S.,Mathematical Theory of Elasticity,2nd ed.,McGraw-Hill,New York(1956). -
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