论文标题
基于修改的基于债券的植物动力学模型，没有弹性特性的限制
A modified bond-based peridynamics model without limitations on elastic properties
论文作者
论文摘要
这项研究提出了一种基于键的分类的新型基于键的基于键的动力学（MBB-PD）模型。键的分类是根据等效假设的局部菌株进行的，并分为三类水平正常，垂直正常键和剪切键。虽然基于经典键的PD（BB-PD）仅考虑键的键，但在提议的模型中考虑了键菌株的所有组成部分。围绕每个键的局部想象元素考虑了每个键的局部想象元素，以估计每个键的真实菌株。本构的关系来自将键变形的应变能等同于经典的连续性力学（CCM）应变能的应变能量，以使概括合并的加载条件。提出了一种新型的临界拉伸标准和临界角标准，以分别预测正常和剪切应变键的失败。还表明，与经典的BB-PD不同，所提出的模型并未对Poisson比率的价值施加任何限制。通过研究机械和热负荷下的一些完整的平面应力和平面应变问题来验证该模型。此外，提出了与预先存在的缺陷的不同问题的变形和损伤轮廓以及相应的应力 - 应变响应，并用扩展有限元方法的（XFEM）分析进行了验证。
This study proposes a novel Modified Bond-Based PeriDynamic (MBB-PD) model based on the bonds' classification. This classification of bonds is performed on the basis of the equivalent hypothetical local strains and falls into three categories of horizontal normal, vertical normal, and shear bonds. While the classical Bond-Based PD (BB-PD) considers only the stretch of bonds, all components of the bonds' strains are taken into account in the proposed model.A local imaginary element is considered around each bond to estimate the true strains of each bond. The constitutive relations are derived from equating the strain energies of the bonds' deformations to the Classical Continuum Mechanics (CCM) strain energies for a generalized combined loading condition. A novel critical stretch criterion and critical angle criterion are proposed to predict the failure of normal and shear strain bonds, respectively.It is also shown that, unlike the classical BB-PD, the proposed model does not impose any limitations on the value of Poisson's ratio. The model is verified by investigating some intact plane stress and plane strain problems under mechanical and thermal loadings. Moreover, the deformation and damage contours and the corresponding stress-strain responses are presented for different problems with pre-existing defects and validated with the eXtended Finite Element method's (XFEM) analysis.
