Peridynamic Modelling of Harmonic Structured Materials Under High Strain Rate Deformation

Sousa, Theodor de; Ahadi, Aylin; Sjögren, Elis; Orlov, Dmitry

doi:10.23967/wccm-eccomas.2020.279

14th WCCM-ECCOMAS Congress 2021

DOI: 10.23967/wccm-eccomas.2020.279

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Peridynamic Modelling of Harmonic Structured Materials Under High Strain Rate Deformation

Theodor de Sousa

Aylin Ahadi²,

Elis Sjögren

et al.

Abstract: This paper applies the peridynamic continuum mechanics theory on a new type of material known as harmonic-structured materials. Using the Peridigm software, rapid uniaxial elongation is simulated on a peridynamic model of a thin bimodal harmonic-structured metal sheet. Mechanical wave initiation, propagation, and reflection, as well as fracture initiation and propagation are successfully simulated.

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Cited by 2 publications

References 16 publications

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The Peridigm Meshfree Peridynamics Code

Littlewood

Parks

Foster³

et al. 2023

J Peridyn Nonlocal Model

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Peridigm is a meshfree peridynamics code written in C++ for use on large-scale parallel computers. It was originally developed at Sandia National Laboratories and is currently managed as an open-source, community driven software project. Its primary features include bond-based, state-based, and non-ordinary state-based constitutive models, bond failure laws, contact, and support for explicit and implicit time integration. To date, Peridigm has been used primarily by methods developers focused on solid mechanics and material failure. Peridigm utilizes foundational software components from Sandia’s Trilinos project and was designed for extensibility. This paper provides an overview of the solution methods implemented in Peridigm, a discussion of its software infrastructure, and demonstrates the use of Peridigm for the solution of several example problems.

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The Peridigm Meshfree Peridynamics Code

Littlewood

Parks

Foster³

et al. 2023

J Peridyn Nonlocal Model

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Geometry of plastic deformation in metals as piecewise isometric transformations

Beygelzimer,

Filippov,

Orlov

2024

Sci Rep

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Deformation mechanisms of crystalline solids has been the subject of research for more than two centuries. The theory of dislocations dominates modern views but still has significant gaps demanding the introduction of additional concepts for the coherent quantitative description of physical phenomena. In this work, we propose a coherent geometric description of motion and deformation in crystalline solids as piecewise isometric transformations (PWIT). The latter only includes operations that, similar to interatomic spacing in crystalline lattice, do not alter distances between reference points, i.e. translations, rotations and mirror reflections. The difference between solid-body translations and plastic deformations is that the isometric transformations have discontinuities that in real-life materials realise through dislocations (termination of shifts), disclinations (termination of rotations), and twins (mirror reflections). The conceptual description of plastic deformations as PWIT can be useful for the better description of physical phenomena, proposing new hypothesis, and for developing predictive analytical models. In this paper, the use of this conceptual description enables proposing new hypothesis about the nature of such interesting phenomena in severe plastic deformation as (i) stationary ‘solid state turbulence’ stage in high pressure torsion, and (ii) rate of mass transfer (mechanically assisted diffusion) in simple-shear deformation.

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Peridynamic Modelling of Harmonic Structured Materials Under High Strain Rate Deformation

Cited by 2 publications

References 16 publications

The Peridigm Meshfree Peridynamics Code

The Peridigm Meshfree Peridynamics Code

Geometry of plastic deformation in metals as piecewise isometric transformations

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