A mathematical model for plasticity and damage: A discrete calculus formulation
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|Title:||A mathematical model for plasticity and damage: A discrete calculus formulation||Authors:||Dassios, Ioannis K.
Jivkov, Andrey P.
|Permanent link:||http://hdl.handle.net/10197/10648||Date:||1-Mar-2017||Online since:||2019-05-23T13:57:31Z||Abstract:||In this article we propose a discrete lattice model to simulate the elastic, plastic and failure behaviour of isotropic materials. Focus is given on the mathematical derivation of the lattice elements, nodes and edges, in the presence of plastic deformations and damage, i.e. stiffness degradation. By using discrete calculus and introducing non-local potential for plasticity, a force-based approach, we provide a matrix formulation necessary for software implementation. The output is a non-linear system with allowance for elasticity, plasticity and damage in lattices. This is the key tool for explicit analysis of micro-crack generation and population growth in plastically deforming metals, leading to macroscopic degradation of their mechanical properties and fitness for service. An illustrative example, analysing a local region of a node, is given to demonstrate the system performance.||Funding Details:||Science Foundation Ireland||Type of material:||Journal Article||Publisher:||Elsevier BV||Journal:||Journal of Computational and Applied Mathematics||Volume:||312||Start page:||27||End page:||38||Copyright (published version):||2015 Elsevier||Keywords:||Discrete calculus; Lattice model; Steel microstructure; Plasticity; Damage; Non-linear system||DOI:||10.1016/j.cam.2015.08.017||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Electrical and Electronic Engineering Research Collection|
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