混凝土弹性模量预测的混合夹杂模型

基于细观夹杂理论,将混凝土看作是由骨料、界面、砂浆、孔洞和微裂缝组成的多相复合材料,将骨料和其外部包裹着的界面看作是球形等效颗粒,作为夹杂相,将含有孔洞和微裂缝的水泥砂浆作为等效基体,采用多步法建立了混凝土混合夹杂模型。将广义自洽方法和Mori-Tanaka方法相结合求得了模型的解析解。通过算例验证了模型的有效性,表明文中提出的模型能够较为真实全面的反映混凝土的细观组成相对其宏观弹性模量的影响。

THE MIXTURE INCLUSION MODEL FOR PREDICTING ELASTIC MODULUS OF CONCRETE

Based on the meso-inclusion theory,the concrete is considered as a multiphase composite material consisting of aggregates,interface,mortar,voids and micro-cracks.A mixture inclusion model of concrete was established with multi-step method,in which the spherical equivalent particles consisting of aggregates and interface outside is regarded as a inclusion phase,and cement mortar containing voids and micro-cracks is regarded as equivalent matrix.The analytical solutions for the equivalent particles and the equivalent matrix were derived with generalized self-consistent and Mori-Tanaka's method respectively.The validity of the model was verified by the example.The results show that the model proposed this paper can reflect the influence of the meso composition phases on the macroscopic elastic modulus of the concrete more comprehensively.