An adaptive space-time finite element model for oxidation-driven fracture

F. L. Carranza, B. Fang, R. B. Haber

Research output: Contribution to journalConference articlepeer-review


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 availabel in problems formulated in a moxing 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.

Original languageEnglish (US)
Pages (from-to)399-423
Number of pages25
JournalComputer Methods in Applied Mechanics and Engineering
Issue number3-4
StatePublished - May 11 1998
EventProceedings of the 1996 7th Conference on Numerical Methods and Computational Mechanics in Science and Engineering, NMCM 96 - Miskolc, Hungary
Duration: Jul 15 1996Jul 19 1996

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications


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