摘要
对楔顶角为２α的圆柱型正交各向异性楔，其顶端受集中力偶的经典解当α满足ｔｇλα＝λα（λ＝（ａ６６＋２ａ１２＋２ａ１１）／ａ１１，ａ６６、ａ１２、ａ１１为弹性常数）时，应力成为无穷大；其表面受均匀载荷的经典解当α满足ｓｉｎλα＝０（对称变形）或ｔｇλα＝λα（反对称变形）时，也有同样问题。
For a cylindrical orthogonal anisotropic wedge of angle 2α, the classical solution for the wedge subject to a concentrated couple at the vertex becomes infinite when α satisfies tgλα=λα(λ=(a66+2a12+2a11)/a11, a66, where a12, a11 are elastic constants), this is also true for the classical solution for the wedge subject to uniform tractions on the surfaces when α satisfies sin λα=0 (symmetric deformations) or tgλα=λα (antisymmetric deformations). The two paradoxes are resolved through the superposition of the homogeneous solutions in the paper.
出处
《应用力学学报》
CSCD
北大核心
1997年第4期37-45,共9页
Chinese Journal of Applied Mechanics
基金
南昌大学青年基金
关键词
楔体
佯谬
应力奇异性
正交各向异性
弹性力学
: wedge
paradox
stress singularity
cylindrical orthogonal anisotropy
elasticity.
