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用介观颗粒接触力学模型建立宏观弹性模量的理论规律,干颗粒堆积体宏观弹性模量和颗粒所受应力的1/3次方成正比,埋深越大,宏观弹性模量越大。颗粒直径是影响颗粒堆积体宏观弹性模量的重要因素,颗粒直径越大,宏观弹性模量越大。研究等径颗粒体的5种常见排布方式对宏观弹性模量的影响,确定调整系数,配位数和弹性模量呈大致的反比关系,但是配位数变化并不意味着巨大的弹性模量变化。颗粒堆积体的变形不符合胡克定律,并且弹性模量也存在各向异性。
The theory of macroscopic elastic modulus is established by using the mesoscopic particle contact mechanics model. The macroscopic elastic modulus of the dry particle deposit is proportional to 1/3 of the stress of the particles. The larger the depth of embedment, the larger the macroscopic elastic modulus. The particle diameter is an important factor that affects the macro-elastic modulus of the particle stack. The larger the particle diameter, the larger the macro-elastic modulus. The influence of five kinds of common arrangements of isograd particles on the macroscopic elastic modulus was studied. The adjustment coefficient was determined. The coordination number and the elastic modulus were roughly inversely related. However, the change of coordination number did not imply a huge elastic modulus The amount of change. The deformation of the particle stack does not comply with Hooke’s law, and the modulus of elasticity is also anisotropic.