Higher order tip enrichment of eXtended Finite Element Method in thermoelasticity

Zamani, Arash; Gracie, Robert; Eslami, M. Reza
November 2010
Computational Mechanics;Nov2010, Vol. 46 Issue 6, p851
Academic Journal
n eXtended Finite Element Method (XFEM) is presented that can accurately predict the stress intensity factors (SIFs) for thermoelastic cracks. The method uses higher order terms of the thermoelastic asymptotic crack tip fields to enrich the approximation space of the temperature and displacement fields in the vicinity of crack tips—away from the crack tip the step function is used. It is shown that improved accuracy is obtained by using the higher order crack tip enrichments and that the benefit of including such terms is greater for thermoelastic problems than for either purely elastic or steady state heat transfer problems. The computation of SIFs directly from the XFEM degrees of freedom and using the interaction integral is studied. Directly computed SIFs are shown to be significantly less accurate than those computed using the interaction integral. Furthermore, the numerical examples suggest that the directly computed SIFs do not converge to the exact SIFs values, but converge roughly to values near the exact result. Numerical simulations of straight cracks show that with the higher order enrichment scheme, the energy norm converges monotonically with increasing number of asymptotic enrichment terms and with decreasing element size. For curved crack there is no further increase in accuracy when more than four asymptotic enrichment terms are used and the numerical simulations indicate that the SIFs obtained directly from the XFEM degrees of freedom are inaccurate, while those obtained using the interaction integral remain accurate for small integration domains. It is recommended in general that at least four higher order terms of the asymptotic solution be used to enrich the temperature and displacement fields near the crack tips and that the J- or interaction integral should always be used to compute the SIFs.


Related Articles

  • Numerical Analysis of the Impact Resistance of Targets and Simple Constructions. Erokhin, G. A.; Kanel, G. I.; Tolkachev, V. F.; Fortov, V. E.; Khorev, I. E. // Doklady Physics;Feb2005, Vol. 50 Issue 2, p100 

    The article discusses the problem of the high-velocity interaction of various technogenic bodies. Computer simulation of the interaction of projectiles with targets and simple constructions was performed by the numerical finite-element method, which was efficiently applied to various impact...

  • Experimentally Validated Numerical Modeling of Material Deformation across the Scales: A Review. Xu Song; Belnoue, Jonathan P.; Hofmann, Felix; Korsunsky, Alexander M. // International MultiConference of Engineers & Computer Scientists;2012, Vol. 2, p1 

    The purpose of the present paper is to provide a brief overview of the recent activities in the Oxford HEX-lab group aimed at the development of experimentally validated deformation models at multiple scales of interest: from macroscopic to meso- to micro-scopic level. The emphasis is placed on...

  • Finite element simulation and experimental study on the through-mask electrochemical micromachining (EMM) process. Wang Li; Wang Quandai; Hao Xiuqing; Ding Yucheng; Lu Bingheng // International Journal of Advanced Manufacturing Technology;Nov2010, Vol. 51 Issue 1-4, p155 

    In this work, the influence of electrode surface patterning on shape evolution in through-mask electrochemical micromachining (EMM) process is investigated numerically and experimentally. With finite element method, the anodic dissolution process is predicted and the etching behavioral trends...

  • Numerical Simulation of the Flow Through Metallic Foams: Multiscale Modeling and Experimental Validation. Hétu, J.-F.; Ilinca, F.; Marcotte, J.-P.; Baril, E.; Lefebvre, L. P.; Innocentini, M. // AIP Conference Proceedings;5/30/2010, Vol. 1254 Issue 1, p287 

    In this work the incompressible steady-state flow through a metallic foam matrix is solved by a finite element method. A multiscale approach combining the solution at the pore level by an immersed boundary method and the macro-scale solution with simulated permeability is used. The micro scale...

  • Development of a 3D finite element model of lens microcirculation. Vaghefi, Ehsan; Malcolm, Duane TK; Jacobs, Marc D.; Donaldson, Paul J. // BioMedical Engineering OnLine;2012, Vol. 11 Issue 1, p69 

    Background: It has been proposed that in the absence of a blood supply, the ocular lens operates an internal microcirculation system. This system delivers nutrients, removes waste products and maintains ionic homeostasis in the lens. The microcirculation is generated by spatial differences in...

  • Finite Element Analysis of Dam Foundation Seepage Effect on Cutoff Wall Depth of Guxue Concrete Gravity Dam. Niannian Xi; Fuguo Tong; Gang Liu; Tao Zhong // Advanced Materials Research;2014, Vol. 1073-1076, p1729 

    This paper is committed to analyze the results of numerical simulation in the dam foundation seepage field of Guxue concrete gravity dam with the finite element method. The results show that the cutoff wall depth of the Guxue dam foundation seriously impacts the seepage effect of cutoff wall....

  • Research of Spiral Staircase. Jiang Haitao; Zhang Zhanting // Applied Mechanics & Materials;2014, Issue 584-586, p226 

    This paper first introduces the units which are used in general-purpose finite element analysis software ABAQUS simulation of steel and concrete as well as their material constitutive models, and then taking the simulation analysis of a spiral staircase for instance to draw displacement of a...

  • A Deformation Analysis and Compensation Algorithm for Bracket Structure of Automatic Drill-riveting System. YANG Yuan; WANG Zhong-qi; KANG Yong-gang; CHANG Zheng-ping // Advanced Materials Research;2014, Issue 912-914, p539 

    Since the bracket deformation caused by its deadweight is too large, and the riveting of aircraft panel is always over-tolerance, a new algorithm for analysis and compensation of bracket deformation is presented in this paper. The algorithm is formed by combining finite element (FE) simulation...

  • FEA software ready to model many physical phenomena. Gamache, Ronald W.; Dvorak, Paul // Machine Design;7/8/2004, Vol. 76 Issue 13, p0 

    Discusses the steps in building a Femlab finite-element analysis (FEA) software model. Design parameters used in creating an FEA software model; Description of the design process; Capabilities of FEA software; Cost of the software.


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics