Finite Element Analysis of Micromechanical Progressive Failure Properties of Glass Fiber/Phenolic Resin Composites by Monte Carlo Simulation

This paper presents a probabilistic approach for fracture mechanics analysis of cracked structures. The objective of this work is to calculate the rigidity of cracked structures based on failure probability. The methodology consists of cracked structures modelling, finite element analysis with adaptive mesh, sampling of cracked structure including uncertainties factors and probabilistic analysis using Monte Carlo method. Probabilistic analysis represents the priority of proceeding either suitable to repair the structures or it can be justified that the structures are still in safe condition. Therefore, the combination of finite element and probabilistic analysis represents the failure probability of the structures by operating the sampling of cracked structures process. The uncertainty of the crack size can produce a significant effect on the probability of failure, particularly for the crack size with large coefficient of variation. The probability of failure caused by uncertainties relates to loads and material properties of the structure are estimated using Monte Carlo simulation technique. Numerical example is presented to show that probabilistic analysis based on Monte Carlo simulation provides accurate estimates of failure probability. The comparisons of simulation result, analytical solution and relevant numerical results obtained from other previous works shows that the combination of finite element analysis and probabilistic analysis based on Monte Carlo simulation provides accurate estimation of failure probability.

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Mechanical properties evaluation and model finite element analysis of cork and felt based nanofilled phenolic resin composites

INCAS BULLETIN ◽

10.13111/2066-8201.2016.8.4.9 ◽

2016 ◽

Vol 8 (4) ◽

pp. 105-114

Author(s):

PELIN George ◽

◽

MUNTEANU Camelia ◽

PELIN Cristina-Elisabeta ◽

STEFAN Adriana ◽

...

Keyword(s):

Mechanical Properties ◽

Finite Element Analysis ◽

Finite Element ◽

Phenolic Resin ◽

Resin Composites ◽

Element Analysis

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Effect of agglomeration and dispersion on the elastic properties of polymer nanocomposites: A Monte Carlo finite element analysis

Materials Testing ◽

10.3139/120.110843 ◽

2016 ◽

Vol 58 (3) ◽

pp. 269-279 ◽

Cited By ~ 3

Author(s):

Hassan S. Hedia ◽

Saad M. Aldousari ◽

Ahmed K. Abdellatif ◽

Gamal S. Abdelhaffez

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Monte Carlo ◽

Polymer Nanocomposites ◽

Elastic Properties ◽

Element Analysis

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Fractographical Analysis and Biomechanical Considerations of a Tooth Restored With Intracanal Fiber Post: Report of the Fracture and Importance of the Fiber Arrangements

Operative Dentistry ◽

10.2341/15-262-s ◽

2016 ◽

Vol 41 (5) ◽

pp. E149-E158 ◽

Cited By ~ 4

Author(s):

VF Wandscher ◽

CD Bergoli ◽

IF Limberger ◽

TP Cenci ◽

P Baldissara ◽

...

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Glass Fiber ◽

Shear Stresses ◽

Fiber Post ◽

Element Analysis ◽

Parallel Fibers ◽

Tooth Structure ◽

Anterior Teeth ◽

Compressive Stresses

SUMMARY Objective: This article aims to present a fractographic analysis of an anterior tooth restored with a glass fiber post with parallel fiber arrangement, taking into account force vectors, finite element analysis, and scanning electron microscopy (SEM). Methods: A patient presented at the Faculty of Dentistry (Federal University of Santa Maria, Brazil) with an endodontically treated tooth (ETT), a lateral incisor that had a restorable fracture. The treatment was performed, and the fractured piece was analyzed using stereomicroscopy, SEM, and finite element analysis. Results: The absence of remaining coronal tooth structure might have been the main factor for the clinical failure. We observed different stresses actuating in an ETT restored with a fiber post as well as their relationship with the ultimate fracture. Tensile, compression, and shear stresses presented at different levels inside the restored tooth. Tensile and compressive stresses acted together and were at a maximum in the outer portions and a minimum in the inner portions. In contrast, shear stresses acted concomitantly with tensile and compressive stresses. Shear was higher in the inner portions (center of the post), and lower in the outer portions. This was confirmed by finite element analysis. The SEM analysis showed tensile and compression areas in the fiber post (exposed fibers=tensile areas=lingual surface; nonexposed fibers=compression areas=buccal surface) and shear areas inside the post (scallops and hackle lines). Stereomicroscopic analysis showed brown stains in the crown/root interface, indicating the presence of microleakage (tensile area=lingual surface). Conclusion: We concluded that glass fiber posts with parallel fibers (0°), when restoring anterior teeth, present a greater fracture potential by shear stress because parallel fibers are not mechanically resistant to support oblique occlusal loads. Factors such as the presence of remaining coronal tooth structure and occlusal stability assist in the biomechanical equilibrium of stresses that act upon anterior teeth.

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Finite element analysis of progressive failure of Carsington embankment

International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts ◽

10.1016/0148-9062(90)93083-x ◽

1990 ◽

Vol 27 (5) ◽

pp. 299

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Progressive Failure ◽

Element Analysis

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Progressive failure of the Carsington Dam: a numerical study

Canadian Geotechnical Journal ◽

10.1139/t92-107 ◽

1992 ◽

Vol 29 (6) ◽

pp. 971-988 ◽

Cited By ~ 13

Author(s):

Z. Chen ◽

N. R. Morgenstern ◽

D. H. Chan

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Factor Of Safety ◽

Progressive Failure ◽

Limit Equilibrium ◽

Equilibrium Analysis ◽

Element Analysis ◽

Limit Equilibrium Analysis ◽

The Finite Element Analysis ◽

Yellow Clay

The mechanism of progressive failure is well understood as one which involves nonuniform straining of a strain-weakening material. Traditional limit equilibrium analysis cannot be used alone to obtain a rational solution for progressive failure problems because the deformation of the structure must be taken into account in the analysis. The failure of the Carsington Dam during construction in 1984 has been attributed to progressive failure of the underlying yellow clay and the dam core materials. The dam was monitored extensively prior to failure, and an elaborate geotechnical investigation was undertaken after failure. The limit equilibrium analysis indicated that the factors of safety were over 1.4 using peak strength of intact clay material or 1.2 based on reduced strength accounting for preshearing of the yellow clay layer. Factors of safety were found to be less than unity if residual strengths were used. The actual factor of safety at failure was, of course, equal to one. By using the finite element analysis with strain-weakening models, the extent and degree of weakening along the potential slip surface were calculated. The calculated shear strength was then used in the limit equilibrium analysis, and the factor of safety was found to be 1.05, which is very close to the actual value of 1.0. More importantly, the mechanism of failure and the initiation and propagation of the shear zones were captured in the finite element analysis. It was also found that accounting explicitly for pore-water pressure effects using the effective stress approach in the finite element and limit equilibrium analyses provides more realistic simulations of the failure process of the structure than analyses based on total stresses. Key words : progressive failure, strain softening, finite element analysis, dams.

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