Hyper-singular boundary element method for elastoplastic fracture mechanics analysis with large deformation

Franco-Nava, José Manuel; El-Zafrany, Ali
January 2006
Computational Mechanics;Jan2006, Vol. 37 Issue 1, p15
Academic Journal
In this paper a two-dimensional hyper-singular boundary element method for elastoplastic fracture mechanics analysis with large deformation is presented. The proposed approach incorporates displacement and the traction boundary integral equations as well as finite deformation stress measures, and general crack problems can be solved with single-region formulations. Efficient regularization techniques are applied to the corresponding singular terms in displacement, displacement derivatives and traction boundary integral equations, according to the degree of singularity of the kernel functions. Within the numerical implementation of the hyper-singular boundary element formulation, crack tip and corners are modelled with discontinuous elements. Fracture measures are evaluated at each load increment, using the J-integral. Several cases studies with different boundary and loading conditions have been analysed. It has been shown that the new singularity removal technique and the non-linear elastoplastic formulation lead to accurate solutions.


Related Articles

  • Continuum Shape Sensitivity analysis of a mode-I fracture in functionally graded materials. Rahman, S.; Rao, B. N. // Computational Mechanics;Jul2005, Vol. 36 Issue 1, p62 

    This paper presents a new method for conducting a continuum shape sensitivity analysis of a crack in an isotropic, linear-elastic, functionally graded material. This method involves the material derivative concept from continuum mechanics, domain integral representation of theJ-integral and...

  • Three-dimensional dynamic stress analysis on a penny-shaped crack interacting with a suddenly transformed spherical inclusion. Xiao, Z. M.; Luo, J. // International Journal of Fracture;Sep2003, Vol. 123 Issue 1/2, p29 

    In this paper, the interaction between a penny-shaped crack and a near-by suddenly transformed spherical inclusion in 3-dimensional solid is investigated to assess the dynamic effect of the transformation. To simplify the solution procedure, the current problem is divided into two sub-problems...

  • Multi-region Trefftz boundary element method for fracture analysis in plane piezoelectricity. Sheng, N.; Sze, K. // Computational Mechanics;May2006, Vol. 37 Issue 5, p381 

    This paper presents a multi-region Trefftz boundary element method for fracture analysis in plane piezoelectricity. To model the sub-region that contains the crack, a special set of Trefftz functions that satisfy the traction-free and charge-free conditions along the crack faces are constructed....

  • Numerical analysis of plane cracks in strain-gradient elastic materials. Akarapu, S.; Zbib, Hussein // International Journal of Fracture;Sep2006, Vol. 141 Issue 3/4, p403 

    The classical linear elastic fracture mechanics is not valid near the crack tip because of the unrealistic singular stress at the tip. The study of the physical nature of the deformation around the crack tip reveals the dominance of long-range atomic interactive forces. Unlike the classical...

  • Displacement Discontinuity Method for Fracture Mechanics Analysis of Reissner Plates: Static and Dynamic. Wen, P. H.; Aliabadi, M. H.; Zhang, J. Z. // International Journal of Fracture;Sep2005, Vol. 135 Issue 1-4, p95 

    This paper is concerned with the displacement discontinuity method applied to the shear deformable plates (Reissner’s and Mindlin’s theories) with cracks subjected to static and dynamic loads. Fundamental solutions of dislocation are derived using the Fourier transform method and...

  • Dual approach in non-linear fracture mechanics. Stolz, Claude // International Journal of Fracture;Nov2010, Vol. 166 Issue 1/2, p135 

    dual approach in fracture mechanics based on complementary energy is proposed. The analysis of the dissipation shows that the thermodynamical force associated with the evolution of a crack is an energy release rate, form of which depends on the presence or not of mechanical discontinuities. This...

  • Initiation of fatigue cracks near inclusions in elastoplastic materials. Sylovanyuk, V.; Yukhym, R. // Materials Science;Nov2008, Vol. 44 Issue 6, p747 

    We propose a new approach to calculating the period of crack initiation in the neighborhood of elastic inclusions in elastoplastic materials. We have established the factors determining the intensity of fatigue of a material in the neighborhood of an inclusion. These factors are: load amplitude...

  • Analysis of the derivative of the energy functional with respect to the length of a curvilinear crack in an elastic body with a possible crack-edge contact. Vtorushin, E. V. // Journal of Applied Mechanics & Technical Physics;Sep2007, Vol. 48 Issue 5, p737 

    A homogeneous two-dimensional body with a crack of variable length is considered. At the crack edges, conditions are formulated in the form of inequalities that describe mutual nonpenetration of the edges. The derivative of the elastic-energy functional with respect to the length of the...

  • Finite separation method: an efficient boundary element crack modeling technique. Lalonde, S�bastien; Guilbault, Raynald // Computational Mechanics;Dec2009, Vol. 44 Issue 6, p791 

    In computational fracture mechanics, great benefits are obtained from the reduced modeling dimension order and the accurate integral formulation of the boundary element method (BEM). However, the direct representation of co-planar surfaces (i.e., cracks) causes a degeneration of the standard...


Read the Article


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

Try another library?
Sign out of this library

Other Topics