Nara Miranda Guimarães’s research while affiliated with São Paulo State University and other places

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Publications (1)


Figure 2. Schematic view of the fiber, matrix and equivalent homogeneous material (EHM) domains used in a finite element model for the case of 45° fiber orientation. Reproduced with permission [30].
Figure 3. From the microscale to the macroscale. Reproduced with permission [33].
Figure 4. Schematic view of a four-scale woven fiber composite with polymer matrix: In computational modeling of this structure, each integration point at any scale is a realization of a structure at a finer scale. Due to the delicacy of materials at fine-scales, RVEs at lower scales may embody more uncertainty than those at higher scales. To quantify the uncertainty in a macroscopic quantity of interest, the relevant uncertainty sources at the lower scales should be identified for uncertainty propagation. Reproduced with permission [41].
Figure 5. Schematic of multiscale modelling of engineering composite structures. Reproduced with permission [46].
Figure 6. Hierarchy of multiscale analysis for a unidirectional fiber reinforced composite.

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Application of the Finite Element Method in the Analysis of Composite Materials: A Review
  • Literature Review
  • Full-text available

April 2020

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15,599 Reads

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173 Citations

Polymers

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Nara Miranda Guimarães

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Erick Siqueira Guidi

The use of composite materials in several sectors, such as aeronautics and automotive, has been gaining distinction in recent years. However, due to their high costs, as well as unique characteristics, consequences of their heterogeneity, they present challenging gaps to be studied. As a result, the finite element method has been used as a way to analyze composite materials subjected to the most distinctive situations. Therefore, this work aims to approach the modeling of composite materials, focusing on material properties, failure criteria, types of elements and main application sectors. From the modeling point of view, different levels of modeling—micro, meso and macro, are presented. Regarding properties, different mechanical characteristics, theories and constitutive relationships involved to model these materials are presented. The text also discusses the types of elements most commonly used to simulate composites, which are solids, peel, plate and cohesive, as well as the various failure criteria developed and used for the simulation of these materials. In addition, the present article lists the main industrial sectors in which composite material simulation is used, and their gains from it, including aeronautics, aerospace, automotive, naval, energy, civil, sports, manufacturing and even electronics.

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Citations (1)


... FEM discretizes the domain into a set of overlapping meshes or "finite elements". Within each element, the solution is approximated using a polynomial basis function (Polycarpou 2022;Szabó and Babuška 2021;David Müzel et al. 2020). FVM involves dividing the domain into a set of control volumes and approximating the solution within each volume using a polynomial basis function (Ali et al. 2022;Muhammad 2021;Haider and Ahmad 2022). ...

Reference:

Interpretable Solutions for Multi-Physics PDEs Using T-NNGP
Application of the Finite Element Method in the Analysis of Composite Materials: A Review

Polymers