Numerical investigation of 1D continuum dynamical models of discrete chain

DOI10.1002/zamm.201200057zbMath1256.65068OpenAlexW2081323627MaRDI QIDQ3143703

Dieter Weichert, Igor V. Andrianov, Galina A. Starushenko

Publication date: 3 December 2012

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201200057

zbMATH Keywords

nonlocalitywave equationwave propagationnumerical examplesintegro-differential equationFourier transformationdifferential-difference equationcontinualizationdiscrete chain

Mathematics Subject Classification ID

Related Items (3)

Static bending of granular beam: exact discrete and nonlocal solutions ⋮ Composite dynamic models for periodically heterogeneous media ⋮ Identification of non-local continua for lattice-like materials

Cites Work

• Application of quasi-continuum models for perturbation analysis of discrete kinks
• One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure. I: Generic formulation
• The heterogeneous multiscale methods
• Continuous models for 1D discrete media valid for higher-frequency domain
• Multi-field approach in mechanics of structural solids
• Hamiltonian dynamics of dense chains and lattices: or how to correct the continuum
• On causality of the gradient elasticity models
• Continuous approximations of difference operators

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