Modeling Tsunami Induced Debris Impacts on Bridge Structures using the Material Point Method

Yang, Wen-Chia; Shekhar, Krishnendu; Arduino, Pedro; Mackenzie‐Helnwein, Peter; Miller, Greg

doi:10.1016/j.proeng.2017.01.050

Cited by 6 publications

(7 citation statements)

References 4 publications

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“…Yang [41] studied the tsunami-induced debris loading on bridge decks using the material point method. The results of the analyses showed that the presence of debris increases the applied loads on bridges, with the in-water analyses giving up to 35% larger debris impact forces than the in-air cases.…”

Section: Introductionmentioning

confidence: 99%

Coupled SPH–FEM Modeling of Tsunami-Borne Large Debris Flow and Impact on Coastal Structures

Hasanpour

Istrati

Buckle

2021

JMSE

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Field surveys in recent tsunami events document the catastrophic effects of large waterborne debris on coastal infrastructure. Despite the availability of experimental studies, numerical studies investigating these effects are very limited due to the need to simulate different domains (fluid, solid), complex turbulent flows and multi-physics interactions. This study presents a coupled SPH–FEM modeling approach that simulates the fluid with particles, and the flume, the debris and the structure with mesh-based finite elements. The interaction between the fluid and solid bodies is captured via node-to-solid contacts, while the interaction of the debris with the flume and the structure is defined via a two-way segment-based contact. The modeling approach is validated using available large-scale experiments in the literature, in which a restrained shipping container is transported by a tsunami bore inland until it impacts a vertical column. Comparison of the experimental data with the two-dimensional numerical simulations reveals that the SPH–FEM models can predict (i) the non-linear transformation of the tsunami wave as it propagates towards the coast, (ii) the debris–fluid interaction and (iii) the impact on a coastal structure, with reasonable accuracy. Following the validation of the models, a limited investigation was conducted, which demonstrated the generation of significant debris pitching that led to a non-normal impact on the column with a reduced contact area and impact force. While the exact level of debris pitching is highly dependent on the tsunami characteristics and the initial water depth, it could potentially result in a non-linear force–velocity trend that has not been considered to date, highlighting the need for further investigation preferably with three-dimensional models.

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Section: Introductionmentioning

confidence: 99%

Coupled SPH–FEM Modeling of Tsunami-Borne Large Debris Flow and Impact on Coastal Structures

Hasanpour

Istrati

Buckle

2021

JMSE

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“…In this work, we investigate the material point method 1 (MPM), a mixed Lagrangian‐Eulerian simulation approach that has been applied to a wide range of continuum mechanics problems. The MPM was originally proposed as a method for simulating history‐dependent, solid‐like materials through extremely large deformations but has also been applied to fluid‐like materials, 2 multi‐phase mixtures, 3,4 and phase change problems 5 . There are two basic interpretations of the MPM: (i) as an extension of the particle‐in‐cell (PIC) and fluid implicit particle (FLIP) methods 6‐8 or (ii) as a mixed Petrov‐Galerkin finite element method (FEM) using reduced quadrature 9 .…”

Section: Introductionmentioning

confidence: 99%

“…The use of the material point method for simulating fluid flows 2,3,46‐51 is becoming increasingly common, especially in the fields of physics‐based animation and free‐surface simulation. To model such flows, an MPM implementation must address two key issues: (i) volumetric or kinematic locking of nearly incompressible materials 47,51,52 and (ii) accumulation of discretization and quadrature errors through advection 53,54 .…”

Section: Introductionmentioning

confidence: 99%

“…21,[29][30][31][32][33] Other applications have included examination of the effects of explosions and shockwaves on different materials [34][35][36][37][38][39][40] and predicting the dynamic failure processes of earthen and granular slopes. [41][42][43][44][45] The use of the material point method for simulating fluid flows 2,3,[46][47][48][49][50][51] is becoming increasingly common, especially in the fields of physics-based animation and free-surface simulation. To model such flows, an MPM implementation must address two key issues: (i) volumetric or kinematic locking of nearly incompressible materials 47,51,52 and (ii) accumulation of discretization and quadrature errors through advection.…”

Section: Introductionmentioning

confidence: 99%

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Analysis and mitigation of spatial integration errors for the material point method

Baumgarten

Kamrin

2023

Numerical Meth Engineering

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The material point method (MPM) is a robust numerical simulation approach for continuum mechanics problems involving large material deformations coupled to changing surface topographies. These types of problems are present in many different engineering contexts, from understanding the failure processes of earthen slopes to predicting the strengths and failure mechanisms of body armor to modeling the impact forces of waves in fluid tanks. By using a set of persistent material point tracers to follow the motion and deformation of the continuum material while solving the equations of motion on a static simulation grid, the MPM avoids several shortcomings of more traditional numerical approaches including blurring of material surfaces -as in Eulerian finite element or finite volume methods (FEMs or FVMs) -and mesh tangling -as in Lagrangian FEMs. Despite its robustness, MPM is known to develop significant numerical errors: namely, (i) the particle ringing instability and (ii) solution dependent discretization and integration errors. In this work, we present an analysis of local-in-time, spatial integration errors in the MPM and several techniques designed to mitigate these errors. Error mitigation approaches previously described in the literature are compared to a new method we propose for problems involving very large material deformations. The proposed method is shown to offer substantial improvement over standard MPM for simulations of fluid-like materials without requiring significant augmentation of existing MPM frameworks.

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“…However, as explained by Bing et al [35], the dual-grid configuration is problematic even for simple 1D problems, since it is sensitive to different boundary cell size and location. Mast's colleague, Yang [36], proposed a scheme for handling nonconforming Dirichlet boundaries by giving a specific boundary force field. This technique defines an influence region nearby the boundary, divided into three zones: constrained, decay, and free.…”

Section: Introductionmentioning

confidence: 99%

Nonconforming Dirichlet boundary conditions in implicit material point method by means of penalty augmentation

et al. 2021

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In many geomechanics applications, material boundaries are subjected to large displacements and deformation. Under these circumstances, the application of boundary conditions using particle methods, such as the material point method (MPM), becomes a challenging task since material boundaries do not coincide with the background mesh. This paper presents a formulation of penalty augmentation to impose nonhomogeneous, nonconforming Dirichlet boundary conditions in implicit MPM. The penalty augmentation is implemented utilizing boundary particles, which can move either according to or independently from the material deformation. Furthermore, releasing contact boundary condition, as well as the capability to accommodate slip boundaries, is introduced in the current work. The accuracy of the proposed method is assessed in both 2D and 3D cases, by convergence analysis reaching the analytical solution and by comparing the results of nonconforming and classical grid-conforming simulations.

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Modeling Tsunami Induced Debris Impacts on Bridge Structures using the Material Point Method

Cited by 6 publications

References 4 publications

Coupled SPH–FEM Modeling of Tsunami-Borne Large Debris Flow and Impact on Coastal Structures

Coupled SPH–FEM Modeling of Tsunami-Borne Large Debris Flow and Impact on Coastal Structures

Analysis and mitigation of spatial integration errors for the material point method

Nonconforming Dirichlet boundary conditions in implicit material point method by means of penalty augmentation

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