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由宏观塑性耗散势出发 ,得出多孔材料的屈服函数 ,它类似Lade和Doraivelu模型 .由Ramberg_Os good单轴拉伸模型和相关联流动法则给出描述多孔材料的幂硬化本构关系 .在平面应变条件下 ,得出裂纹尖端的渐近场 .场具有H .R .R奇异性 ,J积分守恒 .场的分布和断裂韧性依赖材料常数α ,它描述在变形中体积变形与形状变形之比 .所得结果 ,在特定条件下与前人研究结果一致 .这些结果为多孔材料结构的设计和断裂韧性的评估提供理论的参考依据 .
Based on the macroscopic plastic dissipation potential, the yield function of porous material is obtained, which is similar to the Lade and Doraivelu models. The power hardening constitutive relation describing the porous material is given by the Ramberg_Os good uniaxial tension model and the associated flow law. Strain field, the asymptotic field at the tip of the crack is obtained.The field has a singularity of H.R.R and conservation of J-integral.The field distribution and fracture toughness depend on the material constant α, which describes the ratio of volumetric deformation to shape deformation The results obtained are consistent with previous studies under certain conditions.These results provide theoretical references for the design of porous materials and the evaluation of fracture toughness.