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谢和平. 脆性材料裂纹扩展的分形运动学[J]. 力学学报, 1994, 26(6): 757-762. DOI: 10.6052/0459-1879-1994-6-1995-606
引用本文: 谢和平. 脆性材料裂纹扩展的分形运动学[J]. 力学学报, 1994, 26(6): 757-762. DOI: 10.6052/0459-1879-1994-6-1995-606
FRACTAL KINEMAIICS OF CRACK PROPAGAtiON IN BRITTLE MAtERIALS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1994, 26(6): 757-762. DOI: 10.6052/0459-1879-1994-6-1995-606
Citation: FRACTAL KINEMAIICS OF CRACK PROPAGAtiON IN BRITTLE MAtERIALS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1994, 26(6): 757-762. DOI: 10.6052/0459-1879-1994-6-1995-606

脆性材料裂纹扩展的分形运动学

FRACTAL KINEMAIICS OF CRACK PROPAGAtiON IN BRITTLE MAtERIALS

  • 摘要: 大量实验结果表明脆性材料裂纹扩展路径是弯弯曲曲的,不规则的,断裂表面粗糙不平,表现出分形特征。本文应用分形几何推导出脆性材料裂纹扩展的分形运动学公式,得到了动、静态断裂韧性与分形裂纹扩展速度、裂纹长度、微结构特征量δ_c以及分形维数之间的关系;推导出了裂纹扩展速度的计算公式,得出宏观量测的裂纹扩展速度V_0应小于分形裂纹扩展速度V;并推导出直接根据材料动、静态断裂韧性和裂纹扩展速度V_0估算材料裂纹扩展路径的分维计算公式.本文理论分析结果与实验值在定性定量上达到了较好的一致。

     

    Abstract: Experimental results indicate that the crack propagation path of a brittle mate-rials is irregular and tortuous,and fracture surfaces are roughness,which behave as fractal. Applied fractal geometry,the author derives formula of fractal kinematics of the crack prop-agation in brittle materials.The correlation of dynamic and static fracure toughnesses withcrack velocity,crack length,microstructure parameter and fractal dimension is obtained. From equations of estimating crack velocity and fractal dimension de...

     

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