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dc.contributor.authorOchoa Avendaño, J.
dc.contributor.authorGarzon Alvarado, D. A.
dc.contributor.authorLinero Segrera, Dorian Luis
dc.contributor.authorCerrolaza Rivas, Miguel Enrique
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.identifier.citationOchoa, J., Garzon, D., Linero, D. L., Cerrolaza, M.E. Simplified qualitative discrete numerical model to determine cracking pattern in brittle materials by means of finite element method. "Mathematical problems in engineering", 2017, vol. 2017, p. 1-14.
dc.description.abstractThis paper presents the formulation, implementation, and validation of a simplified qualitative model to determine the crack path of solids considering static loads, infinitesimal strain, and plane stress condition. This model is based on finite element method with a special meshing technique, where nonlinear link elements are included between the faces of the linear triangular elements. The stiffness loss of some link elements represents the crack opening. Three experimental tests of bending beams are simulated, where the cracking pattern calculated with the proposed numerical model is similar to experimental result. The advantages of the proposed model compared to discrete crack approaches with interface elements can be the implementation simplicity, the numerical stability, and the very low computational cost. The simulation with greater values of the initial stiffness of the link elements does not affect the discontinuity path and the stability of the numerical solution. The exploded mesh procedure presented in this model avoids a complex nonlinear analysis and regenerative or adaptive meshes.
dc.format.extent14 p.
dc.rightsAttribution 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subjectÀrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
dc.subject.lcshBrittleness--Mathematical models
dc.titleSimplified qualitative discrete numerical model to determine cracking pattern in brittle materials by means of finite element method
dc.subject.lemacFragilitat -- Models matemàtics
dc.contributor.groupUniversitat Politècnica de Catalunya. GMNE - Grup de Mètodes Numèrics en Enginyeria
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
dc.description.versionPostprint (published version)
upcommons.citation.authorOchoa, J., Garzon, D., Linero, D. L., Cerrolaza, M.E.
upcommons.citation.publicationNameMathematical problems in engineering

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