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        The continuous-discontinuous Galerkin method applied to crack propagation

        Tiago L.D. Forti,Nadia C.S. Forti,Fábio L.G. Santos,Marco A. Carnio 사단법인 한국계산역학회 2019 Computers and Concrete, An International Journal Vol.23 No.4

        The discontinuous Galerkin method (DGM) has become widely used as it possesses several qualities, such as a natural ability to dealing with discontinuities. DGM has its major success related to fluid mechanics. Its major importance is the ability to deal with discontinuities and still provide high order of approximation. That is an important advantage when simulating cracking propagation. No remeshing is necessary during the propagation, since the crack path follows the interface of elements. However, DGM comes with the drawback of an increased number of degrees of freedom when compared to the classical continuous finite element method. Thus, it seems a natural approach to combine them in the same simulation obtaining the advantages of both methods. This paper proposes the application of the combined continuous-discontinuous Galerkin method (CDGM) to crack propagation. An important engineering problem is the simulation of crack propagation in concrete structures. The problem is characterized by discontinuities that evolve throughout the domain. Crack propagation is simulated using CDGM. Discontinuous elements are placed in regions with discontinuities and continuous elements elsewhere. The cohesive zone model describes the fracture process zone where softening effects are expressed by cohesive zones in the interface of elements. Two numerical examples demonstrate the capacities of CDGM. In the first example, a plain concrete beam is submitted to a three-point bending test. Numerical results are compared to experimental data from the literature. The second example deals with a full-scale ground slab, comparing the CDGM results to numerical and experimental data from the literature.

      • KCI등재

        Microstructural Evolution of HSLA ISO 3183 X80M (API 5L X80) Friction Stir Welded Joints

        Tahiana F. C. Hermenegildo,Tiago F. A. Santos,Edwar A. Torres,Conrado R. M. Afonso,Antonio J. Ramirez 대한금속·재료학회 2018 METALS AND MATERIALS International Vol.24 No.5

        Evaluation was made of friction stir welded joints, identifying conditions that resulted in satisfactory welded joints free fromdefects and with microstructural characteristics that provided good mechanical properties. Microstructural characterizationand cooling curve analysis of the joints with lower and higher heat inputs evidenced deformation below and above the nonrecrystallizationtemperature (T nr ) and dynamic recrystallization during microstructural evolution. Microscopy analysesshowed acicular ferrite, bainitic ferrite, and coalesced bainite microstructures in the stir zone of the cold weld (lower heatinput), while the stir zone of the hot weld (higher heat input) contained bainitic ferrite, acicular ferrite, coalesced bainite,martensite, and dispersed carbides. Granular bainite and dispersed carbides were observed in all the heat aff ected zones. Analysis of the microstructural transformations, together with the thermal history of the joints, showed that the variable thathad the greatest infl uence on the morphology of the bainite (granular bainite/bainitic ferrite) was the deformation temperature.

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