论文标题
经典线性弹性和基于键基的动力模型的耦合方法
Coupling approaches for classical linear elasticity and bond-based peridynamic models
论文作者
论文摘要
局部非局部耦合方法提供了一种结合本地模型的计算效率和非本地模型的准确性的方法。 This paper studies the continuous and discrete formulations of three existing approaches for the coupling of classical linear elasticity and bond-based peridynamic models, namely 1) a method that enforces matching displacements in an overlap region, 2) a variant that enforces a constraint on the stresses instead, and 3) a method that considers a variable horizon in the vicinity of the interfaces.在一系列涉及立方体和四分之一的制造溶液的一维数值示例中比较了三种耦合方法的性能。根据耦合方法的解决方案与经典线性弹性模型的解决方案之间的差异来衡量所提出方法的准确性，该模型可以看作是建模误差。本文的目的是评估此类基于力的耦合方法的离散配方的质量和性能。
Local-nonlocal coupling approaches provide a means to combine the computational efficiency of local models and the accuracy of nonlocal models. This paper studies the continuous and discrete formulations of three existing approaches for the coupling of classical linear elasticity and bond-based peridynamic models, namely 1) a method that enforces matching displacements in an overlap region, 2) a variant that enforces a constraint on the stresses instead, and 3) a method that considers a variable horizon in the vicinity of the interfaces. The performance of the three coupling approaches is compared on a series of one-dimensional numerical examples that involve cubic and quartic manufactured solutions. Accuracy of the proposed methods is measured in terms of the difference between the solution to the coupling approach and the solution to the classical linear elasticity model, which can be viewed as a modeling error. The objective of the paper is to assess the quality and performance of the discrete formulation for this class of force-based coupling methods.
