An adaptive space-time finite element model for oxidation-driven fracture
type: Item
instance of: scholarly article
title: An adaptive space-time finite element model for oxidation-driven fracture
zbMATH Open document ID: 1068.74607
DOI: 10.1016/S0045-7825(97)00248-X
author: Yanyan Li
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2000-06-07T00:00:00Z
review text: This paper presents an adaptive, space-time finite element model for oxidation-driven fracture. The model incorporates finite-deformation viscoplastic material behaviour, stress-enhanced diffusive transport of reactive chemical species and a cohesive interface fracture criterion. We describe in detail the variational formulation of the coupled system, with particular attention to stabilized discontinuous Galerkin formulations for the chemical diffusion and the material evolution equations. We describe a new computational approach for simulating fracture that uses space-time finite elements to track continuous crack-tip motion. This provides an accurate representation of the deformation history in ductile fracture, as is required for the reliable integration of the evolution equations for history-dependent materials. The space-time model supports both transient and direct steady-state calculations. It promotes efficient computations by eliminating the need for extensive mesh refinement away from the current crack-tip location and by exploiting the temporal coherence available in problems formulated in a moving crack-tip frame. An \(h\)-adaptive finite element procedure reveals the potential of the space-time model for controlling element distortion and maintaining solution accuracy. Numerical studies of mode-III fracture, plane-strain mode-I fracture and stress-enhanced diffusion illustrate the importance of stabilization and adaptivity for obtaining accurate and reliable solutions.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74R20
Mathematics Subject Classification ID: 74E40
Mathematics Subject Classification ID: 74C20
zbMATH DE Number: 1421645
MaRDI profile type: Publication
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full work available at URL: s0045-7825(97)00248-x
OpenAlex ID: W2071240300
description: scientific article; zbMATH DE number 1421645