A 3D SPH-based entirely Lagrangian meshfree hydroelastic FSI solver for anisotropic composite structures
A 3D SPH-based entirely Lagrangian meshfree hydroelastic FSI solver for anisotropic composite structures
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DOI：
10.1016/j.apm.2022.07.031
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发表时间：
2022-08
影响因子：
5
通讯作者：
Abbas Khayyer;Y. Shimizu;H. Gotoh;Shunsuke Hattori
中科院分区：
文献类型：
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作者：
Abbas Khayyer;Y. Shimizu;H. Gotoh;Shunsuke Hattori
本文提出了第一个三维完全拉格朗日无网格水弹性流固耦合求解器，再现不可压缩流体与各向异性/各向同性复合弹性结构的相互作用，以及第一个各向异性结构的哈密顿SPH。为了实现这一发展，我们仔细（i）重新制定的HSPH（哈密尔顿光滑粒子流体动力学）各向同性结构模型，考虑材料各向异性的结构，（ii）扩展的二维HSPH结构模型和相应的ISPH-HSPH FSI求解器的三维复合材料结构和它们与不可压缩流体的相互作用。关于改进（i），通过基于应力-应变响应的仔细重新审视，已经进行了从各向同性到各向异性结构模型的重新表述。四阶弹性张量和坐标系的变换（旋转）被认为是各向异性HSPH结构模型的发展。然后，各向异性/复合材料结构的三维HSPH结构模型耦合到一个细化的基于投影的不可压缩SPH（ISPH）流体模型。所提出的结构模型和流固耦合求解器能够处理大的材料各向异性和材料界面处的不连续性，而无需使用任何人工稳定器/平滑方案。验证是一致进行的。首先，新提出的各向异性HSPH结构模型通过两个2D/3D经典基准测试与精确的理论解进行了验证。然后，在验证三维复合材料的HSPH，相应的耦合ISPH-HSPH流固耦合求解器被应用到两个水弹性流固耦合试验，包括砰击的各向异性复合材料船体。
This paper presents the first 3D entirely Lagrangian meshfree hydroelastic FSI (Fluid-Structure Interaction) solver for reproduction of incompressible fluid flows interacting with anisotropic/isotropic composite elastic structures as well as the first Hamiltonian SPH for anisotropic structures. To achieve this development, we have carefully (i) reformulated the HSPH (Hamiltonian Smoothed Particle Hydrodynamics) isotropic structure model with consideration of material anisotropy of structures, (ii) extended the 2D HSPH structure model and corresponding ISPH-HSPH FSI solver for 3D composite structures and their interactions with incompressible fluids. Regarding the advancement (i), the reformulation from isotropic to anisotropic structure model has been conducted through a careful revisit on the basis of stress-strain responses. The fourth-order elasticity tensor and transformation (rotation) of coordinate systems are considered for development of the anisotropic HSPH structure model. Then, the 3D HSPH structure model for anisotropic/composite structures is coupled with a refined projection-based Incompressible SPH (ISPH) fluid model. The proposed structure model and FSI solver are capable of handling large material anisotropies and discontinuities at material interfaces without use of any artificial stabilizers/smoothing schemes. Validations are conducted coherently. First, the newly proposed anisotropic HSPH structure model is verified through both 2D/3D classical benchmark tests with exact theoretical solutions. Then, followed by validations of HSPH for 3D composites, the corresponding coupled ISPH-HSPH FSI solver is applied to two hydroelastic FSI tests including slamming of an anisotropic composite hull.