Non-homogeneous displacement jumps in strong embedded discontinuities. Alfaiate, J., Simone, A., & Sluys, L. J. International Journal of Solids and Structures, 40(21):5799--5817, 2003.
doi  abstract   bibtex   
In this paper, strong discontinuities are embedded in finite elements to describe fracture in quasi-brittle materials. A new numerical formulation is introduced in which the displacement jumps do not need to be homogeneous within each finite element. Both the crack path and the displacement jumps are continuous across element boundaries. This formulation is compared with the discrete approach, in which interface elements are inserted to model the discontinuities, as well as with other embedded discontinuity approaches and with the partition of unity method. Numerical results have been obtained with relatively coarse meshes, which compare well with experimental results and with the results obtained from analyzes with interface elements.
@article{ Alfaiate:Embedded2003,
  author = {J. Alfaiate and A. Simone and L. J. Sluys},
  title = {Non-homogeneous displacement jumps in strong embedded discontinuities},
  journal = {International Journal of Solids and Structures},
  year = {2003},
  volume = {40},
  number = {21},
  pages = {5799--5817},
  kind = {journal paper (ISI)},
  doi = {http://dx.doi.org/10.1016/S0020-7683(03)00372-X},
  pdf = {J2 - Non-homogeneous displacement jumps in strong embedded discontinuities -- Alfaiate, Simone, Sluys
		  -- ijss - 2003.pdf},
  abstract = {In this paper, strong discontinuities are embedded in finite elements to describe fracture in
		  quasi-brittle materials. A new numerical formulation is introduced in which the displacement jumps do
		  not need to be homogeneous within each finite element. Both the crack path and the displacement jumps
		  are continuous across element boundaries. This formulation is compared with the discrete approach, in
		  which interface elements are inserted to model the discontinuities, as well as with other embedded
		  discontinuity approaches and with the partition of unity method. Numerical results have been obtained
		  with relatively coarse meshes, which compare well with experimental results and with the results
		  obtained from analyzes with interface elements.}
}

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