Peridigm users' guide. V1.0.0.

Parks, Michael L.; Littlewood, David John; Mitchell, John; Silling, Stewart A.

doi:10.2172/1055619

Cited by 98 publications

(64 citation statements)

References 16 publications

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“…The simulations were carried out using the Peridigm [46,48] code following the meshfree method of Silling and Askari [63]. All demonstration calculations are three-dimensional and results were obtained by solving the momentum equation under conditions of static equilibrium.…”

Section: Demonstration Calculationsmentioning

confidence: 99%

“…The same grid refinement as in the one-and two-dimensional problems is used: we begin with an initial N × N × N cubic grid with N = 75 (δ /h = 3), a total of 421, 875 computational nodes, and gradually increase N by one until we reach N = 150, a total of 3, 375, 000 computational nodes. The three-dimensional computational simulations were carried out using the Peridigm code, developed at Sandia National Laboratories [46]. The use of a parallel code, executed across multiple processors, was required due to the large computational expense associated with nonlocal calculations as the grid spacing, h, is reduced relative to the PD horizon, δ .…”

Section: A Three-dimensional Peridynamic Problemmentioning

confidence: 99%

“…• Software implementations within the Peridigm [46,48] and Albany [50] codes of the partialstress coupling strategy, the position-aware constitutive models, and the enhancements to meshfree peridynamic models for improved performance and convergence behavior.…”

Section: Chapter 8 Summarymentioning

confidence: 99%

“…Local-nonlocal coupling strategies and improved peridynamic models developed in this study have been implemented in the Peridigm [46,48] peridynamics code and the Laboratory for Com-putational Mechanics module of the Albany [50] code. Both Peridigm and Albany are open-source software that leverage Trilinos [25,26] agile components and are distributed under the 3-clause BSD license.…”

Section: Introductionmentioning

confidence: 99%

“…This chapter summarizes the implementation of the partial-stress approach for local-nonlocal coupling within the Peridigm [46,48] peridynamics code and the Albany [50] computational mechanics code, which is based on the classical (local) theory. Implementation of the partial-stress approach within a pure peridynamics code is presented first, followed by a discussion of coupling independent codes for the integration of local and nonlocal models within a single executable.…”

Section: Introductionmentioning

confidence: 99%

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Strong Local-Nonlocal Coupling for Integrated Fracture Modeling

Littlewood

Silling

Mitchell

et al. 2015

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Peridynamics, a nonlocal extension of continuum mechanics, is unique in its ability to capture pervasive material failure. Its use in the majority of system-level analyses carried out at Sandia, however, is severely limited, due in large part to computational expense and the challenge posed by the imposition of nonlocal boundary conditions. Combined analyses in which peridynamics is employed only in regions susceptible to material failure are therefore highly desirable, yet available coupling strategies have remained severely limited. This report is a summary of the Laboratory Directed Research and Development (LDRD) project "Strong Local-Nonlocal Coupling for Integrated Fracture Modeling," completed within the Computing and Information Sciences (CIS) Investment Area at Sandia National Laboratories. A number of challenges inherent to coupling local and nonlocal models are addressed. A primary result is the extension of peridynamics to facilitate a variable nonlocal length scale. This approach, termed the peridynamic partial stress, can greatly reduce the mathematical incompatibility between local and nonlocal equations through reduction of the peridynamic horizon in the vicinity of a model interface. A second result is the formulation of a blending-based coupling approach that may be applied either as the primary coupling strategy, or in combination with the peridynamic partial stress. This blending-based approach is distinct from general blending methods, such as the Arlequin approach, in that it is specific to the coupling of peridynamics and classical continuum mechanics. Facilitating the coupling of peridynamics and classical continuum mechanics has also required innovations aimed directly at peridynamic models. Specifically, the properties of peridynamic constitutive models near domain boundaries and shortcomings in available discretization strategies have been addressed. The results are a class of position-aware peridynamic constitutive laws for dramatically improved consistency at domain boundaries, and an enhancement to the meshfree discretization applied to peridynamic models that removes irregularities at the limit of the nonlocal length scale and dramatically improves convergence behavior. Finally, a novel approach for modeling ductile failure has been developed, motivated by the desire to apply coupled local-nonlocal models to a wide variety of materials, including ductile metals, which have received minimal attention in the peridynamic literature. Software implementation of the partial-stress coupling strategy, the position-aware peridynamic constitutive models, and the strategies for improving the convergence behavior of peridynamic models was completed within the Peridigm and Albany codes, developed at Sandia National Laboratories and made publicly available under the open-source 3-clause BSD license.

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Section: Demonstration Calculationsmentioning

confidence: 99%

Section: A Three-dimensional Peridynamic Problemmentioning

confidence: 99%

Section: Chapter 8 Summarymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Strong Local-Nonlocal Coupling for Integrated Fracture Modeling

Littlewood

Silling

Mitchell

et al. 2015

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“Touch‐aware” contact model for peridynamics modeling of granular systems

Mohajerani

Wang

2022

Numerical Meth Engineering

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This article presents an innovative "touch-aware" frictional contact model for peridynamics to efficiently simulate the contact behavior between irregularly shaped particles. Conventional short-range force contact model formulates the contact force field in such a way that leaves a large gap between particles, leading to a softer stiffness of contact and inaccurate simulation of densely packed granular materials. The developed "touch-aware" contact model initiates the contact force calculation when contacting bodies are in touch, which leaves no gap between contacting bodies and provides a stiffer contact in an accurate and efficient way. It simulates frictional contact behaviors and damping between contacting bodies with irregular shapes. Different examples are given to verify the touch-aware contact model with theoretical solutions such as Hertz theory of contact, Hertz theory of impact, Coulomb's law and damping formulation.The model is also compared with conventional peridynamics contact model and the discrete element method. Finally, the touch-aware contact model is used to simulate condensation of an aggregate of irregularly shaped particles.These examples demonstrate excellent capacity of the "touch-aware" model in simulating packed granular systems.

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Efficient quadrature rules for finite element discretizations of nonlocal equations

Aulisa

Capodaglio

Chierici

et al. 2021

Numerical Methods Partial

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In this paper, we design efficient quadrature rules for finite element (FE) discretizations of nonlocal diffusion problems with compactly supported kernel functions. Two of the main challenges in nonlocal modeling and simulations are the prohibitive computational cost and the nontrivial implementation of discretization schemes, especially in three-dimensional settings. In this work, we circumvent both challenges by introducing a parametrized mollifying function that improves the regularity of the integrand, utilizing an adaptive integration technique, and exploiting parallelization. We first show that the "mollified" solution converges to the exact one as the mollifying parameter vanishes, then we illustrate the consistency and accuracy of the proposed method on several two-and three-dimensional test cases. Furthermore, we demonstrate the good scaling properties of the parallel implementation of the adaptive algorithm and we compare the proposed method with recently developed techniques for efficient FE assembly.

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Peridigm users' guide. V1.0.0.

Cited by 98 publications

References 16 publications

Strong Local-Nonlocal Coupling for Integrated Fracture Modeling

Strong Local-Nonlocal Coupling for Integrated Fracture Modeling

“Touch‐aware” contact model for peridynamics modeling of granular systems

Efficient quadrature rules for finite element discretizations of nonlocal equations

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