Print Email Facebook Twitter Conforming finite elements with embedded strong discontinuities Title Conforming finite elements with embedded strong discontinuities Author Dias-da-Costa, D. Alfaiate, J. Sluys, L.J. Areias, P. Fernandes, C. Julio, E. Faculty Civil Engineering and Geosciences Department Structural Engineering Date 2012-12-31 Abstract The possibility of embedding strong discontinuities into finite elements allowed the simulation of different problems, namely, brickwork masonry fracture, dynamic fracture, failure in finite strain problems and simulation of reinforcement concrete members. However, despite the significant contributions to this field, a general embedded formulation capable of dealing with strong discontinuities using conforming finite elements is still missing. Therefore a new conforming embedded formulation is herein proposed and compared with other relevant formulations, namely the Generalised Strong Discontinuity Approach (GSDA) [1] and the Generalised/Extended Finite Element Method (GFEM/XFEM) [2-5]. Academic and structural examples are given in order to illustrate the capabilities of the proposed approach in comparison with GSDA and GFEM/XFEM. In summary, the proposed formulation has the following properties: i) variational consistency; ii) no limitations on the choice of the parent finite element; iii) comprehensive kinematics of the discontinuity, including both rigid body motion and stretching; iv) fully compatible enhanced kinematic field; v) additional degrees of freedom located at the discontinuity; vi) continuity of both jumps and tractions across element boundaries; and vii) stress locking free. Subject Strong embedded approachDiscrete crackingConformingNon-homogeneous jumps To reference this document use: http://resolver.tudelft.nl/uuid:d02c0648-b2ef-4e1b-add0-e149535e11d9 Publisher Vienna University of Technology Source ECCOMAS 2012: 6th European Congress on Computational Methods in Applied Sciences and Engineering, Vienna, Austria, 10-14 September 2012 Part of collection Institutional Repository Document type conference paper Rights (c) 2012 Dias-da-Costa, D.Alfaiate, J.Sluys, L.J.Areias, P.Fernandes, C.Julio, E. Files PDF 283524.pdf 478.02 KB Close viewer /islandora/object/uuid:d02c0648-b2ef-4e1b-add0-e149535e11d9/datastream/OBJ/view