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本文根据微弹性结构线性理论研究了带空洞损伤的压力容器问题．解答是准静态的，其应力场为古典弹性力学关于球体对称压力容流问题应力解答，位移场和损伤场具有由于考虑损伤而表现出体积粘弹性特点．
In this paper, the problem of pressure vessel with hollow damage is studied based on the linear theory of micro-elastic structure. The solution is quasi-static, and its stress field is the classical elastic mechanics stress solution to the symmetrical pressure-volume flow problem of the sphere. The displacement field and the damage field have the characteristics of volume viscoelasticity due to considering the damage.