Meshfree modeling of concrete slab perforation using a reproducing kernel particle impact and penetration formulation

Sherburn, Jesse A.; Roth, Michael; Chen, J.S.; Hillman, Michael

doi:10.1016/j.ijimpeng.2015.07.009

Cited by 40 publications

(13 citation statements)

References 47 publications

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“…Based on the RKPM method, a multiresolution extension has been proposed (Liu and Chen 1995;Liu et al 1996aLiu et al , c, 1997a, as well as a related framework that can yield synchronized convergence and a hierarchical partition of unity (Li andLiu 1998, 1999b, a). RKPM has been shown to be particularly effective for large deformation problems Chen et al 1996Chen et al , 1998aChen et al , 2000aYoon and Chen 2002;Yoon et al 2001), smooth contact (Chen and Wang 2000a;Wang 2000;, multibody contact, and fragment-impact problems (Chen et al 2011;Chi et al 2015;Sherburn et al 2015), among others (see "Applications of Meshfree Methods"). Adaptive refinement can also be implemented with relative ease compared to the conventional mesh-based methods (Liu and Chen 1995;Liu et al 1997a;Rabczuk and Belytschko 2005;Rabczuk and Samaniego 2008;.…”

Section: Galerkin Meshfree Methodsmentioning

confidence: 99%

Meshfree Methods: Progress Made after 20 Years

2017

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In the past two decades, meshfree methods have emerged into a new class of computational methods with considerable success. In addition, a significant amount of progress has been made in addressing the major shortcomings that were present in these methods at the early stages of their development. For instance, essential boundary conditions are almost trivial to enforce by employing the techniques now available, and the need for high order quadrature has been circumvented with the development of advanced techniques, essentially eliminating the previously existing bottleneck of computational expense in meshfree methods. Given the proper treatment, nodal integration can be made accurate and free of spatial instability, making it possible to eliminate the need for a mesh entirely. Meshfree collocation methods have also undergone significant development, which also offer a truly meshfree solution. This paper gives an overview of many classes of meshfree methods and their applications, and several advances are described in detail.

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Section: Galerkin Meshfree Methodsmentioning

confidence: 99%

Meshfree Methods: Progress Made after 20 Years

2017

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“…In the semi-Lagrangian RK approximation (Chen and Wu 2007a), the reproducing conditions are constructed in the current configuration, where the nodal neighbor list is updated by redefining the kernel support coverage. In this way, the nodal points follow the motion of material points under a Lagrangian description, while the mesh distortion issues associated with conventional meshbased methods are effectively avoided (Guan et al 2009;Chi et al 2015;Sherburn et al 2015;Wei et al 2019)…”

Section: Semi-lagrangian Rk Approximationmentioning

confidence: 99%

Accelerated and Stabilized Meshfree Method for Impact-Blast Modeling

Chen

Baek

Huang

et al. 2020

Structures Congress 2020

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Meshfree methods such as the reproducing kernel particle method (RKPM) are well suited for modeling materials and solids undergoing fracture and damage processes, and nodal integration is a natural choice for modeling this class of problems. However, nodal integration suffers from spatial instability, and the excessive material deformation and damage process could also lead to kernel instability in RKPM. This paper reviews the recent advances in nodal integration for meshfree methods that are stable, accurate, and with optimal convergence. A variationally consistent integration (VCI) is introduced to allow correction of low order quadrature rules to achieve optimal convergence, and several stabilization techniques for nodal integration are employed. The application of the stabilized RKPM with nodal integration for shock modeling, fracture to damage multiscale mechanics, and materials modeling in extreme events, are demonstrated. These include the modeling of man-made disasters such as fragmentimpact processes, penetration, shock, and blast events will be presented to demonstrate the effectiveness of the new developments.

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“…Such efforts provide reasonable approximations to describe the damage evolution at the microscopic and continuum levels, and the reliability of the approach is dependent on fitting the material parameters to experiments. The present work aims to extend the works of Ren et al (2011) and Sherburn et al (2015) The strength of the MIDM in this work lies in the coupling of the UHPC experimental data to determine the physical parameters necessary to perform the microscale calculations. The previous work by Ren et al (2011) relied on data found in the literature.…”

Section: Unit Conversion Factorsmentioning

confidence: 99%

“…The model was designed for modeling the dynamic response of concrete under high-rate loading conditions. A number of studies have shown that the AFC model can be applied to a large range of penetration type scenarios (Sherburn et al 2014;Sherburn et al 2015;Nordendale et al 2016). The AFC model used in this study follows the approach of Sherburn et al (2014) and Sherburn et al (2015), which includes the MIDM tensile damage evolution function described in Section 4.1.…”

Section: Macroscale Calculationmentioning

confidence: 99%

A multiscale meshfree approach to modeling damage of Cor-Tuf without fibers using fracture energy experiments

Sherburn¹,

Heard²,

Williams³

et al. 2019

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Many continuum damage mechanics models for cementitious materials are typically phenomenological in design. Recent work has shown that a physics-based multiscale approach to modeling damage is efficient and effective. In order to use a multiscale approach, appropriate experimental data are necessary to model the microscale calculations that will then inform the continuum-scale calculations. This work uses the multiscale approach and experimentally determines the parameters necessary to model the microscale calculations. Notched three-point beam experiments were performed to determine the fracture energy of the ultra-high performance concrete known as Cor-Tuf. The fracture energy is then used by a simplified microscale calculation to determine a physics-based damage evolution equation that can be used in continuum-scale calculations. A meshfree method is used to show the usefulness of the newly determined damage evolution equation. Both a quasi-static application and a dynamic application are shown as examples. DISCLAIMER: The contents of this report are not to be used for advertising, publication, or promotional purposes. Citation of trade names does not constitute an official endorsement or approval of the use of such commercial products. All product names and trademarks cited are the property of their respective owners. The findings of this report are not to be construed as an official Department of the Army position unless so designated by other authorized documents.

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Meshfree modeling of concrete slab perforation using a reproducing kernel particle impact and penetration formulation

Cited by 40 publications

References 47 publications

Meshfree Methods: Progress Made after 20 Years

Meshfree Methods: Progress Made after 20 Years

Accelerated and Stabilized Meshfree Method for Impact-Blast Modeling

A multiscale meshfree approach to modeling damage of Cor-Tuf without fibers using fracture energy experiments

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