Nonlocal constitutive laws generated by matrix functions: lattice dynamics models and their continuum limits
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Publication:1618173
DOI10.1016/j.ijengsci.2014.02.029zbMath1423.74085arXiv1307.7688OpenAlexW2009720424MaRDI QIDQ1618173
Xingjun Wang, Thomas M. Michelitsch, Bernard A. Collet
Publication date: 13 November 2018
Published in: International Journal of Engineering Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.7688
Laplacian operatormatrix functionsconvolution kernelsnonlocal elasticitylinear chainlong-wave continuum limitnonlocal constitutive law
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On nonconservativeness of Eringen's nonlocal elasticity in beam mechanics: correction from a discrete-based approach ⋮ A nonlocal constitutive model generated by matrix functions for polyatomic periodic linear chains ⋮ A fractional generalization of the classical lattice dynamics approach ⋮ Thermal processes in a one‐dimensional crystal with regard for the second neighbor interaction ⋮ Fractional random walk lattice dynamics ⋮ On Two-Dimensional Longitudinal Nonlinear Waves in Graphene Lattice ⋮ Lattice fractional Laplacian and its continuum limit kernel on the finite cyclic chain ⋮ Two-dimensional nonlinear shear waves in materials having hexagonal lattice structure ⋮ Random walks with long-range steps generated by functions of Laplacian matrices ⋮ Analysis of dynamic failure of the discrete chain structure with non‐local interactions
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