A mathematical model for plasticity and damage: a discrete calculus formulation

DOI10.1016/j.cam.2015.08.017zbMath1398.74031arXiv1505.02577OpenAlexW1813083236MaRDI QIDQ329740

Andrey P. Jivkov, Andrew Abu-Muharib, Peter James, Ioannis K. Dassios

Publication date: 21 October 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02577

zbMATH Keywords

damageplasticitylattice modeldiscrete calculusnon-linear systemsteel microstructure

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Theories of fracture and damage (74A45)

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Cites Work

• Unnamed Item
• Macroscopic elastic properties of regular lattices
• Confinement-shear lattice CSL model for fracture propagation in concrete
• Irregular lattice models of fracture of multiphase particulate materials
• Modeling ductile to brittle fracture transition in steels--micromechanical and physical challenges
• Properties of a three-dimensional Poisson-Voronoi tesselation: a Monte Carlo study
• Modelling of elastic continua using a grillage of structural elements based on discrete element concepts
• On geometric discretization of elasticity
• Discrete Calculus

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