带空洞损伤的梁的纯弯曲

The Pure Bending of Beam with Void Damage

从弹性微结构理论出发研究了带空洞损伤线弹性材料的本构方程，把这种考虑损伤的本构方程应用到梁的纯弯曲．得到了关于梁的应力场、应变场、位移场和损伤场．通过简化与假设，其应力场、应变场可以得到与古典弹性力学关于梁的纯弯相同的结果．文中结果既验证了考虑损伤的本构方程的正确性，又在一定程度上更精确地反映了梁的受力及变形情况．

The research of the constitutive equation of linear elastic materials with voids is proceeded from the theory of microstructure in linear elasticity. With the application of the constitutive equation considering damage to the pure bending of beam, the stress field, strain field,displacement field and damage field can be obtained. The stress field and strain field are equal to the results of classical elasticity by simplifying and assuming them. This thesis tests the correctness of the constitutive equation considering damage and reflects the stress and strain circumstances of the beam more precisely in a degree than classical elasticity.