Elementos finitos con discontinuidades fuertes embebidas para la simulación numérica en mecánica de falla: E-FEM y X-FEM

P. SÁNCHEZ, J. OLIVER, A. HUESPE, V. SONZOGNI

Buenos Aires, Argentina

Congreso; VIII Congreso Argentino de Mecánica Computacional, MECOM 2005; 2005

Asociación Argentina de Mecánica Computacional (AMCA)

In recent years, and in the context of the so called discrete cohesive models, finiteelements with embedded strong discontinuities have gained popularity for the numericalsimulation in fracture mechanics. The adopted kinematical representation of thediscontinuous displacement field makes possible to consider a general clasification of thesemodels in two groups or finite element families, i.e: elements with discontinuous modes ofelemental (statically condensable) suport (E-FEM) and elements with nodal (notcondensable) enrichment (X-FEM).In this work, a rigurous and comparative study between both numerical approaches ispresented. In order to obtain consistent results, a common numerical scenario was adopted.Particularly, we have chosen the same constitutive law (continuum damage) and elementtopology (triangles and tetrahedras). In addition, special attention has been paid tocomputational efficiency topics. Fundamental aspects in the context of failure mechanicsanalysis, such as robustness, convergence rate, presition and computational cost, areadderesses. For this goal, tipical examples in concrete fracture are showed, including in thismodelling the resolution of single and multi cracking problems for 2D and 3D cases.