Numerical Simulation of Dynamic Interaction Between Ice and Wide Vertical Structure Based on Peridynamics

Abstract

In the ice-covered oceanic region, the collision between sea ice and offshore structures will occur, causing the crushing failure of ice and the vibration of structures. The vibration can result in fatigue damage of structure and even endanger the crews' health. It is no doubt that this ice-structure interaction has been noted with great interest by the academic community for a long time and numerous studies have been done through theoretical analysis, experimental statistics and numerical simulation. In this paper, the bond-based Peridynamics method is applied to simulate the interaction between sea ice and wide vertical structures, where sea ice is modeled as elastic-plastic material, with a certain yield condition and failure criterion. Oscillation equation of single-degree-of-freedom is considered to investigate the vibration features of the structure during the interaction process. The damage of ice, ice forces and vibration responses of structure in the duration are obtained through numerical simulation. A parametric investigation is undertaken to identify the key parameters, such as ice thickness, the diameter of structure and relative velocity that trigger the ice crushing, ice forces and vibration responses of the structure. Results indicate that all three parameters have a positive correlation with the overall level of ice force and vibration displacement. Besides, a velocity coefficient is proposed to predict the vibration displacement based on its relation with ice speed.

Introduction for the Special Issue on Recent Developments of Peridynamics

“…Specifically, topics across dual-support smoothed particle hydrodynamics, multi-horizon peridynamics, theoretical analysis of singularity and anomalous dispersion, hybrid local/nonlocal continuum mechanics modeling, coupled digital image correlation (DIC) and peridynamics, fracture of functionally gradient materials, interaction between ice and structure and dynamic fracture of ice are included. Specifically, "A Dual-Support Smoothed Particle Hydrodynamics for Weakly Compressible Fluid Inspired by the Dual-Horizon Peridynamics" by Zhuang et al [Zhuang, Rabczuk and Ren (2019)], extends the dual-horizon peridynamics with variable horizon sizes to the fluid flow application of SPH, e.g., dam break; "A Possible Reason about Origin Of Singularity and Anomalous Dispersion in Peridynamics" by Huang [Huang (2019)] regards the singularity of uniaxial tension and anomalous dispersion of wave in peridynamics stemming from the lack of local stress characterizing contact interactions; "A Hybrid Local/Nonlocal Continuum Mechanics Modeling and Simulation of Fractures in Brittle Materials" by Han et al [Han, Wang and Lubineau (2019)] further develops a hybrid model of classical continuum mechanics and peridynamics and introduces their software for crack propagation of quasi-brittle materials; "Coupled Digital Image Correlation and Peridynamics for Full-Field Deformation Measurement and Local Damage Prediction" by Li et al [Li, Zhang, Gu et al (2019)], attempts to compensate the damage evolution and crack propagation with peridynamic simulation considering the DIC cannot capture the crack evolution continuously; "Dynamic Fracture Analysis of Functionally Gradient Materials with Two Cracks by Peridynamic Modeling" by Cheng et al [Cheng, Jin, Yuan et al (2019)], investigates the influences of cracks positions and distance, and FGMs gradient pattern on the crack propagation pattern with bond-based peridynamics; "Peridynamics Modeling and Simulation of Ice Craters by Impacts" by Song et al [Song, Yan, Li et al (2019)] develops a particle refinement technique in the non-ordinary state-based peridynamic simulation corresponding to a modified Drucker-Prager constitutive model for ice crater; "The Multi-horizon Peridynamics" by Jenabidehkordi et al [Jenabidehkordi and Rabczuk (2019)] proposes a refinement approach by introducing multiple domains to the nodes in the refinement zone; "Numerical Simulation of Dynamic Interaction between Ice and Wide Vertical Structure Based on Peridynamics" by Jia et al [Jia, Ju and Wang (2019)] tries to calculate ice damage, ice forces and vibration responses of structures in the duration through bondbased peridynamic simulation; "Numerical Simulations of the Ice Load of a Ship Navigating in Level Ice Using Peridynamics" by Xue et al [Xue, Liu, Liu et al (2019)] adopts the bond-based peridynamics to predict the ice loads for a ship navigating in level ice and dynamic fracture of ice. As a final remark, it is hoped that the presented topics will give this special issue a much more lasting value and make it appealing to a broad audience of researchers, practitioners, and students who are interested in peridynamics, and each reader can find in this special issue something useful or inspiring.…”

The peridynamic Drucker‐Prager plastic model with fractional order derivative for the numerical simulation of tunnel excavation

“…The classical nonassociated flow rule in PD form is represented by replacing the yield surface F in Equations (11) and Equation ( 12) with the plastic potential 𝑔 as:…”

“…The PD theory has been applied to a variety of materials, including ice, 11 composite materials, 12,13 nanometer materials 14,15 . Besides, it is widely used to simulate the failure of geomaterials 4,16,25,26,17–24 .…”

Peridynamic Simulation of the Penetration of an Ice Sheet by a Vertically Ascending Cylinder

“…It has obvious advantages in solving discontinuous problems such as crack propagation in materials and has achieved great results in the analysis of damage problems such as concrete and composite materials [31]. Considering the brittleness of ice, the peridynamic method has gradually become an important simulation tool for the description of the fracture of ice materials, and agreeable numerical results could be obtained in the simulation of the interaction between ice and marine structures [32][33][34][35][36]. Based on state-based peridynamics, Liu et al [37] investigated the failure of an ice sheet caused by a horizontally moving cylinder and analyzed the repetitive nature of the ice force and the relationship between the damage zone length and ice thickness.…”