Geometrically nonlinear analysis of elastoplastic behavior of functionally graded shells

Jrad, Hanen; Mars, Jamel; Wali, Mondher; Dammak, Fakhreddine

doi:10.1007/s00366-018-0633-3

Cited by 47 publications

(9 citation statements)

References 64 publications

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“…In recent years, FG concept has become an issue of great interest and has prompted a significant amount of research activities worldwide in several areas and advanced sectors. [15][16][17][18][19][20] Furthermore, disparity of mechanical properties between engineered and inherent biomaterials represents a crucial concern facing dental implantation clinic, which makes osseointegration and bone remodeling critical. Additionally, the use of functionally graded biomaterials in implant prostheses have been proposed as a promising improvement to common implant materials due to their ability to simultaneously satisfy biocompatibility, strength, corrosion resistance.…”

Section: Introductionmentioning

confidence: 99%

“…Generally, properties of the FG material vary continuously throughout the long of the structure with different volumes fractions governed by several laws. In recent years, FG concept has become an issue of great interest and has prompted a significant amount of research activities worldwide in several areas and advanced sectors 15–20 . Furthermore, disparity of mechanical properties between engineered and inherent biomaterials represents a crucial concern facing dental implantation clinic, which makes osseointegration and bone remodeling critical.…”

Section: Introductionmentioning

confidence: 99%

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Mandibular bone remodeling around osseointegrated functionally graded biomaterial implant using three dimensional finite element model

Elleuch

Jrad

Wali

et al. 2023

Numer Methods Biomed Eng

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Dental implantation surgery has been progressed as one of the most efficient prosthetic technologies, however, it still fails very often and one of the main causes is the large difference between implant mechanical properties and those in welcoming bony tissues, making it problematical in osseointegration and bone remodeling. Biomaterial and tissue engineering research shows that there is a requirement in developing implants with Functionally Graded Materials (FGM). Indeed, the great potential of FGM lies not only in the field of bone tissue engineering but also in dentistry. To improve the acceptance of dental implants inside the living bone, FGM were proposed to step up the challenge of ensuring a better match of mechanical properties between biologically and mechanically compatible biomaterials. The aim of the present work is to investigate mandibular bone remodeling induced by FGM dental implant. Three‐dimensional (3D) mandibular bone structure around an osseointegrated dental implant has been created to analyze the biomechanical behavior of the bone–implant system depending on implant material composition. In order to implement the numerical algorithm into ABAQUS software, UMAT subroutines and user‐defined material were employed. Finite element analysis have been conducted to determine the stress distributions in implant and bony system, and to evaluate bone remodeling induced by the use of various FGM and pure titanium dental implants over the period of 48 months.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mandibular bone remodeling around osseointegrated functionally graded biomaterial implant using three dimensional finite element model

Elleuch

Jrad

Wali

et al. 2023

Numer Methods Biomed Eng

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“…The FGMs are known as heterogeneous composites prepared by combining ceramic and metal in which material properties vary continuously and gradually in the thickness direction. Recently, several numerical studies have been developed to focus on FG shell structure problems [13][14][15][16][17][18][19][20][21]. However, the FE discretization of the FGM shell structure applying solid shell element remains scarce.…”

Section: Introductionmentioning

confidence: 99%

An efficient ABAQUS solid shell element implementation for low velocity impact analysis of FGM plates

Chaker

Koubaa

Mars

et al. 2020

Engineering with Computers

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The main objective of this paper is to develop a numerical model susceptible to solve the numerical locking problems that may appear when applying the conventional solid and shell finite elements of ABAQUS. This model is based on an hexahedral solid shell element. The formulation of this element relay on the combination of the Enhanced Assumed Strain (EAS) and Assumed Natural Strain (ANS) methods with modified FSDT. The developed element is implemented into the ABAQUS user element (UEL) interface. The performance of this element is demonstrated by different benchmark tests from literature. Our contribution consists on applying a single solid shell element through the thickness direction to predict the low velocity impact behavior on FGM circular plates.

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“…Geometrically, nonlinear problems of structures with integrated piezolayers have been treated considerably less in the literature, although these structures undergo moderate deformation because of their flexible nature, and hence, geometrical nonlinearity has to be accounted for in the analysis (Jrad et al, 2018b). It has been shown in the literature (Kulkarni and Bajoria, 2007; Lee, 2005; Lentzen et al, 2007; Schulz and Klinkel, 2008) that in many cases, the geometrical nonlinearities cannot be neglected.…”

Section: Introductionmentioning

confidence: 99%

Geometrically nonlinear finite element simulation of smart laminated shells using a modified first-order shear deformation theory

Mallek

Jrad

Wali

et al. 2019

Journal of Intelligent Material Systems and Structures

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This article investigates geometrically nonlinear and linear analysis of multilayered shells with integrated piezoelectric materials. An efficient nonlinear shell element is developed to solve piezoelastic response of laminated structure with embedded piezoelectric actuators and sensors. A modified first-order shear deformation theory is introduced in the present method to remove the shear correction factor and improve the accuracy of transverse shear stresses. The electric potential is assumed to be a linear function through the thickness of each active sub-layer. Several numerical tests for different piezolaminated geometries are conducted to highlight the reliability and efficiency of the proposed implementation in linear and geometrically nonlinear finite element analysis.

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Geometrically nonlinear analysis of elastoplastic behavior of functionally graded shells

Cited by 47 publications

References 64 publications

Mandibular bone remodeling around osseointegrated functionally graded biomaterial implant using three dimensional finite element model

Mandibular bone remodeling around osseointegrated functionally graded biomaterial implant using three dimensional finite element model

An efficient ABAQUS solid shell element implementation for low velocity impact analysis of FGM plates

Geometrically nonlinear finite element simulation of smart laminated shells using a modified first-order shear deformation theory

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