Critical time-step for central difference integration schemes in discrete methods: translational and rotational degrees of freedom

DOI10.1016/j.cma.2019.04.003zbMath1441.74294OpenAlexW2944639582WikidataQ127902837 ScholiaQ127902837MaRDI QIDQ1988094

A. Mimouna, Hamdi A. Tchelepi

Publication date: 16 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2019.04.003

zbMATH Keywords

molecular dynamicsrandom networksVerlet algorithmnonlocal forceslattice element method

Mathematics Subject Classification ID

Finite difference methods applied to problems in solid mechanics (74S20) Finite difference and finite volume methods for ordinary differential equations (65L12) The dynamics of infinite particle systems (70F45)

Uses Software

• Matlab

Cites Work

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• New method for simulating fracture using an elastically uniform random geometry lattice
• From particle ensembles to Cosserat continua: homogenization of contact forces towards stresses and couple stresses.
• A 3D distinct lattice spring model for elasticity and dynamic failure
• Eigenvalues and Stable Time Steps for the Uniform Strain Hexahedron and Quadrilateral
• Discrete element method for modelling solid and particulate materials
• Spectral Methods in MATLAB
• A unified stability analysis of meshless particle methods
• Selecting a suitable time step for discrete element simulations that use the central difference time integration scheme
• Stable time step estimates for mesh‐free particle methods

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