An enriched finite element algorithm for numerical computation of contact friction problems

By Amir Reza Khoei, M. Nikbakht. 2007

112 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/0b99f12911cbcc1ff83512347c3ead765285d08f

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In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Thermo-hydro-mechanical modeling of impermeable discontinuity in saturated porous media with X-FEM technique (2012, methodology): “The technique was then employed in elastoplasticity problems, including: the crack propagation in plastic fracture mechanics [40], the plasticity of frictional contact on arbitrary interfaces [41, 42], the plasticity of large deformations”
Hydro‐mechanical modeling of cohesive crack propagation in multiphase porous media using the extended finite element method (2013, methodology): “The XFEM has also been employed in elasto-plastic problems, including plastic fracture mechanics [30], plasticity of frictional contact [31], large plastic deformations [32–34], localization phenomenon in higher-order Cosserat theory [35] and porous media with arbitrary interfaces [36].”
A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies (2012, background): “Khoei and Nikbakht [29, 30] give the formulation with the penalization for plasticity problems.”
A contact algorithm for frictional crack propagation with the extended finite element method (2008, background): “In contrast, the equivalent matrix reported in [30] is symmetric since they ignored the coupling between the normal and tangential frictional forces.”
Frictional slip plane growth by localization detection and the extended finite element method (XFEM) (2011, background): “However, within the examples tested in this paper, the uncoupled (and not consistent) tangent stiffness reported in [31, 32] allowed for better convergence of Equation (43).”
An extended finite element method for fluid flow in partially saturated porous media with weak discontinuities; the convergence analysis of local enrichment strategies (2013, methodology): “The XFEM was also implemented in nonlinear problems including the plastic fracture mechanics [18], the frictional contact [19], the large plastic deformation of arbitrary interfaces [20,21], and the localization phenomenon in higher-order Cosserat theory [22] and in the treatment of incompressible o”