将混凝土材料看成是水泥砂浆基体和粗骨料颗粒组成的2相复合材料,假设水泥砂浆基体和粗骨料颗粒均为弹性、均匀、各向同性的,粗骨料颗粒为球形。基于Mori-Tanaka理论和Eshelby等效夹杂理论推出了混凝土材料弹性模量的计算公式。在Horii和Nemat-Nasser提出的脆性材料在双轴向压应力作用下破坏的滑移裂纹模型基础上,运用细观力学方法推导了微裂纹对材料弹性模量的弱化作用以及微裂纹的损伤演化方程。建立了混凝土材料在冲击荷载作用下的一维动态本构模型,模拟曲线与实验曲线符合良好,因而可以用该模型模拟混凝土材料在冲击荷载下的动态特性。
Concrete is regarded as a two-phase composite constaining coarse aggregate particles and mortar matrix. The mortar matrix and coarse aggregate particles are assumed to be elastic, homogeneous and isotropic. Coarse aggregate particles are spherical. Based on the Mori-Tanaka concept of average stress and Eshelby equivalent inclusion theory, the elastic modulus of concrete is formulated. Using Horii and Nemat-Nasser sliding crack model of brittle materials subjected to biaxial compressive stress, the influences of micro-crack on elastic modulus and damage evolution are found out by the meso-mechanical method. A one-dimensional dynamic constitutive model of concrete subjected to impacting loading is established. It agrees well with the experimental results. So it can be used to simulate the dynamie mechanical behaviors of concrete under impact loading.