scholarly journals Estimates for the elastic moduli of 2D hexagonal-shape orthorhombic crystals with in-plane random crystalline orientations

2019 ◽  
Author(s):  
Vuong Thi My Hanh ◽  
Pham Duc Chinh ◽  
Vu Lam Dong ◽  
Le Hoai Chau
Keyword(s):  
Finite Element ◽  
Elastic Moduli ◽  
Finite Element Simulations ◽  
Orthorhombic Symmetry ◽  
Homogenization Problem ◽  
Hexagonal Shape ◽  
Random Aggregate ◽  
Orthorhombic Crystals ◽  
Numerical Finite Element

Numerical finite element simulations on the homogenization problem for large random-aggregate samples of a particular 2D hexagonal-shape-geometry random polycrystals from the base crystals of orthorhombic symmetry have been performed. At sufficiently large random-aggregate samples, the scatter intervals converge toward the Voigt-Reuss-Hill bounds, and then our recently constructed bounds, which have been specified for the aggregates.

scholarly journals Modelling of Size Effect with Regularised Continua

10.14311/612 ◽  
2004 ◽  
Vol 44 (5-6) ◽  
Author(s):  
H. Askes ◽  
A. Simone ◽  
L. J. Sluys
Keyword(s):  
Finite Element ◽  
Size Effect ◽  
Size Effects ◽  
Finite Element Simulations ◽  
Nonlocal Damage ◽  
Three Point Bending ◽  
Nominal Strength ◽  
Model Size ◽  
Numerical Finite Element

A nonlocal damage continuum and a viscoplastic damage continuum are used to model size effects. Three-point bending specimens are analysed, whereby a distinction is made between unnotched specimens, specimens with a constant notch and specimens with a proportionally scaled notch. Numerical finite element simulations have been performed for specimen sizes in a range of 1:64. Size effects are established in terms of nominal strength and compared to existing size effect models from the literature. 

Estimation of anisotropic elastic moduli from high energy X-Ray data and finite element simulations

Materialia ◽  
2020 ◽  
Vol 12 ◽  
pp. 100795 ◽  
Author(s):  
D. Boyce ◽  
P. Shade ◽  
W. Musinski ◽  
M. Obstalecki ◽  
D. Pagan ◽  
...  
Keyword(s):  
Finite Element ◽  
Elastic Moduli ◽  
High Energy ◽  
Finite Element Simulations ◽  
X Ray ◽  
Anisotropic Elastic ◽  
Anisotropic Elastic Moduli

scholarly journals Regularities of stress state of unsupported working occurring in a layered massif

2019 ◽  
Vol 109 ◽  
pp. 00100
Author(s):  
Oleksii Tiutkin ◽  
Nataliia Petrosian ◽  
Anatolii Radkevych ◽  
Ahmad Alkhdour
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Elastic Modulus ◽  
Stress State ◽  
Numerical Analysis ◽  
Elastic Moduli ◽  
Element Model ◽  
Stress Components ◽  
The Matrix ◽  
Numerical Finite Element

The paper defines the regularities of stress state of unsupported working occurring in a layered massif. The relevance of the performed research is substantiated by the importance of determining the stresses of the contour of unsupported working when the elastic modulus of the matrix and the layer is varied. Since the application of analytic methods for this case is complex, we used a numerical finite element method, implemented in the SCAD. We developed a finite-element model of the above working, where the elastic moduli of the matrix and the layer varied greatly, while its position was unchanged (the layer laying in the middle of the working). The results of the numerical analysis allowed us to build the regularities of three stress components. In order to normalize cases of elastic modulus variation, a dimensionless χ -parameter is introduced which characterizes the relation between the elastic modulus of the matrix and the layer. The obtained regularities of the stress state of the χ-parameter have a functional character and allow to determine the stresses on the contour of the unsupportedworking, depending on the relation between the elastic moduli of the matrix and the layer for all possible spectrum of these parameters.

scholarly journals 3D Finite Element Analysis of Rotary Instruments in Root Canal Dentine with Different Elastic Moduli

2021 ◽  
Vol 11 (6) ◽  
pp. 2547 ◽  
Author(s):  
Carlo Prati ◽  
João Paulo Mendes Tribst ◽  
Amanda Maria de Oliveira Dal Piva ◽  
Alexandre Luiz Souto Borges ◽  
Maurizio Ventre ◽  
...  
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Root Canal ◽  
Elastic Moduli ◽  
Reaction Force ◽  
Von Mises Stress ◽  
Elastic Behavior ◽  
Element Analysis ◽  
Heat Treated ◽  
Von Mises

The aim of the present investigation was to calculate the stress distribution generated in the root dentine canal during mechanical rotation of five different NiTi endodontic instruments by means of a finite element analysis (FEA). Two conventional alloy NiTi instruments F360 25/04 and F6 Skytaper 25/06, in comparison to three heat treated alloys NiTI Hyflex CM 25/04, Protaper Next 25/06 and One Curve 25/06 were considered and analyzed. The instruments’ flexibility (reaction force) and geometrical features (cross section, conicity) were previously investigated. For each instrument, dentine root canals with two different elastic moduli(18 and 42 GPa) were simulated with defined apical ratios. Ten different CAD instrument models were created and their mechanical behaviors were analyzed by a 3D-FEA. Static structural analyses were performed with a non-failure condition, since a linear elastic behavior was assumed for all components. All the instruments generated a stress area concentration in correspondence to the root canal curvature at approx. 7 mm from the apex. The maximum values were found when instruments were analyzed in the highest elastic modulus dentine canal. Strain and von Mises stress patterns showed a higher concentration in the first part of curved radius of all the instruments. Conventional Ni-Ti endodontic instruments demonstrated higher stress magnitudes, regardless of the conicity of 4% and 6%, and they showed the highest von Mises stress values in sound, as well as in mineralized dentine canals. Heat-treated endodontic instruments with higher flexibility values showed a reduced stress concentration map. Hyflex CM 25/04 displayed the lowest von Mises stress values of, respectively, 35.73 and 44.30 GPa for sound and mineralized dentine. The mechanical behavior of all rotary endodontic instruments was influenced by the different elastic moduli and by the dentine canal rigidity.

Thermomechanical finite element simulations of ultrasonically assisted turning

2005 ◽  
Vol 32 (3-4) ◽  
pp. 463-471 ◽  
Author(s):  
A.V. Mitrofanov ◽  
V.I. Babitsky ◽  
V.V. Silberschmidt
Keyword(s):  
Finite Element ◽  
Finite Element Simulations
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