RELATIONS BETWEEN THE INTERFACE MODELS AND THE INTERPHASE MODEL FOR PARTICLE-REINFORCED COMPOSITES
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摘要: 对颗粒增强复合材料界面模型与界面相模型的关系进行了研究。通过界面位移和应力的间断量建立了与球形粒子薄界面相等效的不完善界面条件和线弹簧界面条件。根据线弹簧界面和具有任意弹性模量的薄界面相之间的等效关系,得到了弹簧常数的表达式。数值结果表明:当界面相和基体的模量比值较小时,与薄界面相模型的精确解相比较,不完善界面和线弹簧界面的解有很高的精确性。另外针对线弹簧模型的性质,讨论了界面可能的法向嵌入,并建立了保证无嵌入的条件。Abstract: The relations between the interface models and the interphase model are studied for particle-reinforced composites . The imperfect interface condition which is equivalent to the effect of a thin interphase for a spherical particle is derived in terms of interface displacement and traction jumps, as is the linear spring interface condition which is equivalent to the effect of a thin interphase. According to the equivalent condition between the linear spring interface and the thin interphase with arbitrary elastic properties, the exact expressions of the spring constants are obtained.The numerical results show that by comparison with the exact solutions of the thin interphase model, high accuracy of the solutions in terms of the imperfect interface and linear spring interface is demonstrated at low modulus ratios of the interphase and the matrix. For the linear spring model, the possible normal interpenetration at the interface is discussed. The conditions for ensuring no interpenetration are established.
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