An immersed peridynamics model of fluid-structure interaction accounting for material damage and failure
An immersed peridynamics model of fluid-structure interaction accounting for material damage and failure
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DOI：
10.1016/j.jcp.2023.112466
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发表时间：
2023-09-20
影响因子：
4.1
通讯作者：
Griffith，Boyce E.
中科院分区：
文献类型：
--
作者：
Kim，Keon Ho;Bhalla，Amneet P. S.;Griffith，Boyce E.
本文开发了一种浸入式周向流方法，并对该方法进行了基准测试，以模拟流体-结构相互作用框架内超弹性材料的变形、损伤和失效。浸没周波法描述了一个不可压缩的结构浸没在粘性不可压缩流体。它以欧拉形式表示动量方程和不可压缩约束，以拉格朗日形式描述结构运动和合力。欧拉变量和拉格朗日变量之间的耦合是通过狄拉克δ函数核的积分变换实现的，就像标准的浸入边界方法一样。我们的方法和传统的浸入边界法之间的主要区别是，我们使用的是周向力学，而不是经典的连续介质力学，以确定结构的力量。我们专注于非普通状态为基础的周向材料的描述，使我们能够使用本构对应的框架，可以利用良好的特性的非线性本构模型的软材料。我们的方法的收敛性和精度进行了比较，传统的和浸入式有限元方法使用广泛使用的基准问题的非线性不可压缩弹性。我们表明，浸没的peridendicics方法产生类似的结构自由度的数量的精度与几个选择的大小的peridendicic地平线。我们还表明，该方法可以产生网格收敛模拟流体驱动的材料损伤增长，裂纹的形成和传播，大变形下的破裂。
This paper develops and benchmarks an immersed peridynamics method to simulate the deformation, damage, and failure of hyperelastic materials within a fluid-structure interaction framework. The immersed peridynamics method describes an incompressible structure immersed in a viscous incompressible fluid. It expresses the momentum equation and incompressibility constraint in Eulerian form, and it describes the structural motion and resultant forces in Lagrangian form. Coupling between Eulerian and Lagrangian variables is achieved by integral transforms with Dirac delta function kernels, as in standard immersed boundary methods. The major difference between our approach and conventional immersed boundary methods is that we use peridynamics, instead of classical continuum mechanics, to determine the structural forces. We focus on non-ordinary state-based peridynamic material descriptions that allow us to use a constitutive correspondence framework that can leverage well-characterized nonlinear constitutive models of soft materials. The convergence and accuracy of our approach are compared to both conventional and immersed finite element methods using widely used benchmark problems of nonlinear incompressible elasticity. We demonstrate that the immersed peridynamics method yields comparable accuracy with similar numbers of structural degrees of freedom for several choices of the size of the peridynamic horizon. We also demonstrate that the method can generate grid-converged simulations of fluid-driven material damage growth, crack formation and propagation, and rupture under large deformations.