论文标题
用于用粒子方法描述各向同性线性弹性材料行为的改良键模型
A modified bond model for describing isotropic linear elastic material behaviour with the particle method
论文作者
论文摘要
基于粒子的方法，例如离散元素方法和晶格弹簧方法，可用于描述各向同性线性弹性材料的行为。但是，用于描述颗粒之间相互作用的共同键模限制了可以表示的泊松比的范围。在克服限制中，提出了一个修改的键模型，其中提出了一个修改的键模型，其中提出了相邻键的剪切应变能的耦合。耦合通过多键项来描述，该术语使模型能够区分剪切变形和刚体旋转。验证了修饰键模型的应变能函数的正确定性。为了验证模型，进行了单轴张力，纯剪切，纯弯曲和悬臂弯曲测试。将粒子位移与连续力学解的比较表明了该模型描述各向同性线性弹性材料对泊松比值$ 0 \ leqleqν<0.5 $的行为的能力。
Particle based methods such as the Discrete Element Method and the Lattice Spring Method may be used for describing the behaviour of isotropic linear elastic materials. However, the common bond models employed to describe the interaction between particles restrict the range of Poisson's ratio that can be represented. In this paper, to overcome the restriction, a modified bond model that includes the coupling of shear strain energy of neighbouring bonds is proposed. The coupling is described by a multi-bond term that enables the model to distinguish between shear deformations and rigid-body rotations. The positive definiteness of the strain energy function of the modified bond model is verified. To validate the model, uniaxial tension, pure shear, pure bending and cantilever bending tests are performed. Comparison of the particle displacements with continuum mechanics solution demonstrates the ability of the model to describe the behaviour of isotropic linear elastic material for values of Poisson's ratio in the range $0 \leq ν< 0.5$.
