论文标题
基于债券的Peridyanics，一种调查，勘探流体动力学的非本地理论
Bond-based peridynamics, a survey prospecting nonlocal theories of fluid-dynamics
论文作者
论文摘要
由于建模不连续性形成和材料的演变能力，植物动力学（PD）理论已经在各个研究领域中广泛扩散。尽管有一些建模局限性，但基于债券的基于债券的植物动力学（BB-PD），由于其易于实现与物理直觉和稳定性相结合，因此在数值模拟中被广泛使用。在本文中，已经审查和研究了基于债券的动力学模型的几个方面。已经介绍了植物学理论，应用和数值模型的详细描述。使用的BB-PD积分内核已显示出它们的差异和共同点；然后，已经讨论了其数学结构的某些后果。非局部性的运动学作用，内核结构与材料无法穿透的关系以及PD核非线性在裂纹形成预测中的作用已进行了严格的分析和评论。最后，提出了将BB-PD扩展到流体的想法，并在褪色的记忆材料的框架中提出并提出，从而提出一些观点，以使对流体中的Peridynegics有了更深入，更全面的了解。
Peridynamic (PD) theories have gained widespread diffusion among various research areas, due to the ability of modeling discontinuities formation and evolution in materials. Bond-Based Peridynamics (BB-PD), notwithstanding some modeling limitations, is widely employed in numerical simulations, due to its easy implementation combined with physical intuitiveness and stability. In the present paper, several aspects of bond-based peridynamic models have been reviewed and investigated. A detailed description of peridynamics theory, applications and numerical models has been presented. Employed BB-PD integral kernels have been displayed, together with their differences and commonalities; then, some consequences of their mathematical structure have been discussed. The kinematic role of nonlocality, the relation between kernel structure and material impenetrability, and the role of PD kernel nonlinearity in cracks formation prediction have been critically analyzed and commented. Finally the idea of extending BB-PD to fluids is proposed and presented in the framework of fading memory material, drawing some perspectives for a deeper and more comprehensive understanding of the peridynamics in fluids.
