Civil Engineering / İnşaat Mühendisliği
Permanent URI for this collectionhttps://hdl.handle.net/11147/13
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Article Citation - WoS: 4Citation - Scopus: 6An Alternative Implementation of the Incremental Energy/Dissipation Based Arc-Length Control Method(Elsevier Ltd., 2019) Özdemir, İzzetA robust solution algorithm is essential to trace the arduous equilibrium paths typically confronted with in cohesive fracture and continuum damage mechanics of quasi-brittle materials. Although robust arc-length type solvers exist suitable for such problems, the use of these methods is hindered by their non-standard implementation requirements. Departing from this fact, in this paper, the recently proposed arc-length solver presented in reference May et al. (2016) is reconsidered within the limitations/capabilities of the commercial software packages and recast in a form which is suitable for implementation through user element formalism. The constraint equation is re-expressed and appended to the system of equations through the internal force column and tangent stiffness matrix of a user element. The effectiveness of the proposed alternative implementation is illustrated by means of two cohesive fracture problems.Conference Object Citation - WoS: 4Citation - Scopus: 5Micromechanical Modelling of Size Effects in Microforming(Elsevier Ltd., 2017) Yalçınkaya, Tuncay; Demirci, Aytekin; Simonovski, Igor; Özdemir, İzzetThis paper deals with the micromechanical modelling of the size dependent mechanical response of polycrystalline metallic materials at micron scale through a strain gradient crystal plasticity framework. The model is implemented into a Finite Element software as a coupled implicit user element subroutine where the plastic slip and displacement fields are taken as global variables. Uniaxial tensile tests are conducted for microstructures having different number of grains with random orientations in plane strain setting. The influence of the grain size and number on both local and macroscopic behavior of the material is investigated. The model is capable of capturing both size effect due to statistical distribution of the grains and their size taking into account the grain boundary conditions.