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Keywords = tridimensional FEM analysis

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55 pages, 1725 KiB  
Article
General Consistency of Strong Discontinuity Kinematics in Embedded Finite Element Method (E-FEM) Formulations
by Alejandro Ortega Laborin, Emmanuel Roubin, Yann Malecot and Laurent Daudeville
Materials 2021, 14(19), 5640; https://doi.org/10.3390/ma14195640 - 28 Sep 2021
Cited by 3 | Viewed by 2289
Abstract
This paper performs an in-depth study of the theoretical basis behind the strong discontinuity methods to improve local fracture simulations using the Embedded Finite Element Method (E-FEM). The process starts from a review of the elemental enhancement functions found in current E-FEM literature, [...] Read more.
This paper performs an in-depth study of the theoretical basis behind the strong discontinuity methods to improve local fracture simulations using the Embedded Finite Element Method (E-FEM). The process starts from a review of the elemental enhancement functions found in current E-FEM literature, providing the reader a solid context of E-FEM fundamentals. A set of theoretical pathologies is then discussed, which prevent current frameworks from attaining full kinematic consistency and introduce unintended mesh dependencies. Based on this analysis, a new proposal of strong discontinuity enhancement functions is presented considering generalised fracture kinematics in a full tridimensional setting and a more robust definition of internal auxiliary functions. Element-level simulations are performed to compare the outputs within a group of selected E-FEM approaches, including the novel proposal. Simulations show that the new element formulation grants a wider level of basic kinematic coherence between the local fracture outputs and element kinematics, demonstrating an increase in robustness that might drive the usefulness of E-FEM techniques for fracture simulations to a higher level. Full article
(This article belongs to the Special Issue Advances in Micromechanical Behavior of Materials)
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36 pages, 2136 KiB  
Article
Tridimensional Long-Term Finite Element Analysis of Reinforced Concrete Structures with Rate-Type Creep Approach
by Giovanni Di Luzio, Luigi Cedolin and Carlo Beltrami
Appl. Sci. 2020, 10(14), 4772; https://doi.org/10.3390/app10144772 - 11 Jul 2020
Cited by 19 | Viewed by 3760
Abstract
This paper presents a general procedure for a rate-type creep analysis (based on the use of the continuous retardation spectrum) which avoids the need of recalculating the Kelvin chain stiffness elements at each time step. In this procedure are incorporated three different creep [...] Read more.
This paper presents a general procedure for a rate-type creep analysis (based on the use of the continuous retardation spectrum) which avoids the need of recalculating the Kelvin chain stiffness elements at each time step. In this procedure are incorporated three different creep constitutive relations, two recommended by national codes such as the ACI (North-American) and EC2 (European) building codes and one by the RILEM research association. The approximate expressions of the different creep functions with the corresponding Dirichlet series are generated using the continuous retardation spectrum approach based on the Post–Widder formula. The proposed rate-type formulation is implemented into a 3D finite element code and applied to study the long-term deflections of a prestressed concrete bridge built in Romania, which crosses a wide artificial channel that connects the Danube river to the port of Constanta in the Black Sea. Full article
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