{"title":"Material Failure Process Simulation by Improve Finite Elements with Embedded Discontinuities","authors":"Ju\u00e1rez-Luna Gelacio, Ayala Gustavo, Retama-Velasco Jaime","volume":91,"journal":"International Journal of Aerospace and Mechanical Engineering","pagesStart":1198,"pagesEnd":1205,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/9998693","abstract":"<p>This paper shows the advantages of the material failure process simulation by improve finite elements with embedded discontinuities, using a new definition of traction vector, dependent on the discontinuity length and the angle. Particularly, two families of this kind of elements are compared: kinematically optimal symmetric and statically and kinematically optimal non-symmetric. The constitutive model to describe the behavior of the material in the symmetric formulation is a traction-displacement jump relationship equipped with softening after reaching the failure surface.<\/p>\r\n\r\n<p>To show the validity of this symmetric formulation, representative numerical examples illustrating the performance of the proposed formulation are presented. It is shown that the non-symmetric family may over or underestimate the energy required to create a discontinuity, as this effect is related with the total length of the discontinuity, fact that is not noticed when the discontinuity path is a straight line.<\/p>\r\n","references":"[1]\tJ. Alfaiate, A. Simone, andL.J. Sluys,\"Non-homogeneous displacement jumps in strong embedded discontinuities\u201d,Int J Solids Struct, vol. 40, no. 21, pp. 5799\u20135817, 2003.\r\n[2]\tF. 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