A fully Lagrangian formulation for fluid-structure interaction problems with free-surface flows and fracturing solids

Cornejo, Alejandro; Franci, Alessandro; Zárate, Francisco; Oñate, Eugenio

doi:10.1016/j.compstruc.2021.106532

Cited by 16 publications

(22 citation statements)

References 68 publications

(107 reference statements)

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“…Only very recently, partitioned approaches considering the simultaneous presence of the three methods, i.e., FEM, PFEM, and DEM, have been proposed. This is the case of the works of [11] and [48]. In particular, [11] simulated the failure of structures under the impact of tsunami waves, and [48] applied the same method to large-scale civil engineering problems.…”

Section: Introductionmentioning

confidence: 99%

“…This is the case of the works of [11] and [48]. In particular, [11] simulated the failure of structures under the impact of tsunami waves, and [48] applied the same method to large-scale civil engineering problems. Although the present work takes some elements from [11] (as will be explained in Sect.…”

Section: Introductionmentioning

confidence: 99%

“…5.3), the methods differ for the use they make of the DEM solver. In the works of [11] and [48], the DEM is used as an auxiliary technology to model fracturing solids and mutual solid-solid interactions but not to represent a granular material avalanche, as it is done in this work.…”

Section: Introductionmentioning

confidence: 99%

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A unified and modular coupling of particle methods with fem for civil engineering problems

et al. 2023

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In this work, a modular coupling approach for particle methods with the FEM (finite element method) is presented. The proposed coupled strategy takes advantage from the ability of particle methods of dealing with large displacements and deformations, especially when solving complex fluid–structure and solid–structure interaction problems. The coupling between the FEM and particle methods is done using a co-simulation approach implemented in the open-source Kratos Multiphysics framework. The particle methods considered in this work are the DEM (discrete element method) and the PFEM (particle finite element method). The Lagrangian description of the PFEM is well suited for modeling fluids undergoing large deformations and free-surface motions, and the DEM can be used to simulate rocks, debris and other solid objects. To accelerate the convergence of the coupled strategy, a block Gauss–Seidel algorithm with Aitken relaxation is used. Several numerical examples, with an emphasis on natural hazards, are presented to test and validate the proposed coupled method.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A unified and modular coupling of particle methods with fem for civil engineering problems

et al. 2023

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“…Combining the finite element method (FEM) and the discrete element method (DEM) has drawn considerable research attention [ 61 , 62 , 63 , 64 ]. Considering that the FEM operates with macroscopic characteristics of the material within equations defined in the framework of continuum mechanics, including failure criteria in the context of the constitutive equations and the DEM is a widely recognized method for modeling the response of granular matter and non-continuum media, combining these two methods appears suitable for simulating the transition from initially undamaged to cracked materials such as geomaterials and concrete.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of the Response of Concrete Structural Elements Containing a Self-Healing Agent

Zhelyazov

2022

Materials

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Self-healing of a crack is a relatively novel technique allowing for the partial recovery of the initial mechanical characteristics of a structural element after some period of exploitation. By a widely accepted convention, self-healing is either autogenous or autonomous. The former is a mechanism inherent for cementitious composites (in particular—concrete), while the latter is an engineered process. Both autogenous and engineered healing have recently been the object of numerous studies. Despite the large amount of research work being carried out, the potential of this technique has not yet been fully realized. The article focuses on the modeling and the finite element simulation of the recovery of the initial material properties resulting from the sealing of cracks. The employed numerical procedure uses a constitutive relation for concrete based on the continuum damage mechanics. It captures both the strain-softening and the inverse process—the crack healing. Finite element simulations of benchmark cases illustrate the effect of self-healing. The numerically obtained constitutive relations for specimens with and without a healing agent are compared.

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“…It has also been shown that free surface deformation and surface tension can easily be included in the PFEM [17]. Many works focus on fluid-structure interaction (FSI) using the PFEM [18][19][20][21], and one work that we are aware of includes phase change, in which Franci et al [22] simulate a core melt accident in a nuclear power station using the PFEM. Other than this, PFEM has not been utilized for phase change problems, despite its unique capability to simulate fluids and solids equally well.…”

Section: Introductionmentioning

confidence: 99%

Simulation of the Marangoni Effect and Phase Change Using the Particle Finite Element Method

et al. 2021

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A simulation method is developed herein based on the particle finite element method (PFEM) to simulate processes with surface tension and phase change. These effects are important in the simulation of industrial applications, such as welding and additive manufacturing, where concentrated heat sources melt a portion of the material in a localized fashion. The aim of the study is to use this method to simulate such processes at the meso-scale and thereby gain a better understanding of the physics involved. The advantage of PFEM lies in its Lagrangian description, allowing for automatic tracking of interfaces and free boundaries, as well as its robustness and flexibility in dealing with multiphysics problems. A series of test cases is presented to validate the simulation method for these two effects in combination with temperature-driven convective flows in 2D. The PFEM-based method is shown to handle both purely convective flows and those with the Marangoni effect or melting well. Following exhaustive validation using solutions reported in the literature, the obtained results show that an overall satisfactory simulation of the complex physics is achieved. Further steps to improve the results and move towards the simulation of actual welding and additive manufacturing examples are pointed out.

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A fully Lagrangian formulation for fluid-structure interaction problems with free-surface flows and fracturing solids

Cited by 16 publications

References 68 publications

A unified and modular coupling of particle methods with fem for civil engineering problems

A unified and modular coupling of particle methods with fem for civil engineering problems

Numerical Simulation of the Response of Concrete Structural Elements Containing a Self-Healing Agent

Simulation of the Marangoni Effect and Phase Change Using the Particle Finite Element Method

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