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本文采用二维弹性介质圆形包体模型,运用连续介质力学理论求解出包体内外的应力场、位移场、平均应力、最大剪应力以及能量密度的解析解,从而讨论了硬、软包体的应力集中特征:(1)硬包体内能够积累很高的平均应力和最大剪应力,而软包体内无法形成高应力区;(2)硬包体内能量密度的增量率比软包体大;(3)包体内的最大剪应力、平均应力和能量密度的增量率随k的增大而增大;(4)硬、软包体皆能在包体边界以外近区形成应力和能量增量率集中区,而其集中区的大小和位置与边界条件(σ2/σ1)有关;(5)当r/R增大时,包体产生的应力场和能量分布场皆衰减为无包体时的均匀场,并且与θ有关,形成不均匀场。
In this paper, a two-dimensional elastic circular envelope model is used to solve the stress field, displacement field, average stress, maximum shear stress and the analytical solution of energy density using the theory of continuum mechanics. (1) The hard pack could accumulate high average stress and maximum shear stress, but the soft pack could not form high stress area. (2) The increment rate of energy density in hard pack was larger than that of soft pack ; (3) The maximum increment of shear stress, average stress and energy density in the inclusion body increases with the increase of k; (4) Both hard and soft inclusions can form stress and energy near the boundary of the inclusion body (5) As the r / R increases, the stress field and the energy distribution field generated by the inclusion body both decay into no-package Body-time uniform field, and with θ, forming a non-uniform field.