从Beltrami-Schaefer应力函数导出几个特殊问题的应力函数
Derivation of Some Special Stress Function from Beltrami-Schaefer Stress Function
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摘要: 本文从弹性力学中的Beltrami-Schaefer应力函数出发,导出了扭转问题、平面问题、轴对称问题和回转体扭转问题的应力函数.Abstract: Using liellrami-Schaefer stress funtion in the theory of elasticity in this paper, we derive the stress functions of torsion, plane problem, axisymmetric deformation in solid of revolution and torsion on solid of revolution.
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[1] Gurtin,M.E.,The linear theory of elasticity.Encyclopedia of Physics,Vol.a/2(1972). [2] Ding Hao-jiang,On the stress function of axisymmetric deformation in a solid of revolution,Shanghai J.of Mech.,1(1987). [3] Stippes,M.,A note on stress functions,Int.J.Solids Structures,3(1967). [4] Carlson,D.E.,On the completeness of the Beltrami stress function in continuum mechanics,J.Math.Analysis and Appl.,15(1966). [5] Rostamain,R.,The completeness of Maxwell's stress function representation,J.Elasticity,9,(1979). [6] Michell,J.H.,Proc.London Math.Soc.,31(1899),130-142. [7] Wang,M.Z.,On the completeness of solutions of Boussinesq,Timpe,Love and Michell in axisymmetric elasticity,J.Elasticity,4(1987).
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