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Papers by Meddour Belkacem
Mechanics & Industry, 2015
Many facets of the behavior of shape memory alloys have enormously attracted scientists and resea... more Many facets of the behavior of shape memory alloys have enormously attracted scientists and researchers, studying and modeling their behavior are still problematic. It is in this context that several models have been developed using a lot of approaches ranging from microscopic to macroscopic scale. In this paper we have considered the superthermal effect (thermoelastic) of shape memory alloys and we have adopted a macroscopic approach. The model takes in account only macroscopic observations, it was built basing on thermodynamic laws of thermodynamics and simple assumptions in order to simplify as much as possible its use in engineering without losing accuracy. To validate the model, we have simulated numerically the response and compared it to experimental data.
The biomechanics field continues with its progress and will not cease to grow due to ongoing rese... more The biomechanics field continues with its progress and will not cease to grow due to ongoing research in this area to find better solutions to problems. It is in this context that this work aims to simulate the mechanical behavior of a dental prosthesis made from zirconia. The proposal of zirconia as a material for dental prosthesis is the main aim of this paper. Indeed, Zirconia as a bioceramic material presents many advantages, and especially good biocompatibility and high resistance of wear. On the other hand the disadvantage of this material is its fragility i.e. it has weak strength against cracking. So, in this paper we considered a dental prosthesis assumed to be implanted to an adult person. In order to study the crack initiation we considered a defect in this prosthesis. Using the conditions of blocking and loading by Abaqus simulating tool, we obtained the results revealing the possibility of using zirconia as a material for dental prosthesis.
Modeling and Numerical Simulation of Material Science, 2013
Journal of Serbian Society for Computational Mechanics, 2015
The present work aims to develop a 3D constitutive model to describe pseudoelastic effect on the ... more The present work aims to develop a 3D constitutive model to describe pseudoelastic effect on the behavior of memory shape alloys. This phenomenological constitutive model is based on a set of variables: temperature and stress as control variables, and the fraction of the martensite as an internal variable. By using the first and the second principle of thermodynamics and with a simple formalism, we have developed constitutive equations followed by criteria of transformations. This developed model has parameters intended to be determined by a tensile pseudoelastic test. We have introduced an algorithm to simulate the response of the model with respect to experimental data. Three cases were considered: one dimensional, biaxial and triaxial loading.
Scientific Technical Review, 2014
The paper deals with modeling and simulating the shape memory effect , one of many behaviors of s... more The paper deals with modeling and simulating the shape memory effect , one of many behaviors of shape memory alloys. The effect was first divided into three stages. Every stage has its own thermodynamic potential and constitutive equations. The martensite fraction is the only internal variable to be considered: in the first stage, it represents the fraction of detwinned martensite; in the second stage, it represents the fraction of transformed martensite into austenite, and in the last stage, it represents the fraction of the produced martensite from the austenite transformation. For every stage, we deduced the constitutive equations using the principles of thermodynamics and a simple formalism. When the model was defined, we simulated it using the experimental data obtained by analyzing a cube specimen subjected to triaxial traction and thermal load. The obtained results of this simulation reflect the behavior of this kind of materials when thermomechanical load is applied. The mai...
Shape-Memory Materials, Sep 26, 2018
The shape memory alloys (SMA) are distinguished from other conventional materials by a singular b... more The shape memory alloys (SMA) are distinguished from other conventional materials by a singular behavior which takes many forms depending on the thermomechanical load. The two-way shape memory effect is one of these forms. The interest that exhibits this behavior is that the material can remember two states, so this leads to many industrial applications. This thermoelastic property is driven by the temperature under residual stress of education. To model this effect in 3D, we considered stress and temperature as control variables and the fraction of martensite as internal variable; choosing Gibbs free energy expression and applying thermodynamic principles with transformation criteria have permitted to write the constitutive equations that control this behavior. The constructed model is then numerically simulated, and finally, the proposed model appears applicable in engineering.
Revue des composites et des matériaux avancés
Composite materials are very widely used in the manufacturing of structures because of their spec... more Composite materials are very widely used in the manufacturing of structures because of their specific mechanical properties. However, they are characterized by heterogeneity and anisotropy and they present great challenges in designing and also in predicting their behavior by using the numerical simulation. The unidirectional composite material has a more relevant property which is the transverse elasticity modulus E2. The determination of E2 is still interesting researchers because of the diversity of results obtained by several models and approaches. This study aims to predict the transverse elasticity modulus E2 of a unidirectional Glass/Epoxy composite material, the effect of the arrangement fibers on the transverse elasticity modulus and predict the values of the reinforcement factor used in the Halpin-Tsai model. To do so first we adopted the micromechanical approach, which is accurate but requires much computing, and we used a calculation code based on FEM method and consider...
Many facets of the behavior of shape memory alloys have enormously attracted scientists and resea... more Many facets of the behavior of shape memory alloys have enormously attracted scientists and researchers, studying and modeling their behavior are still problematic. It is in this context that several models have been developed using a lot of approaches ranging from microscopic to macroscopic scale. In this paper we have considered the superthermal effect (thermoelastic) of shape memory alloys and we have adopted a macroscopic approach. The model takes in account only macroscopic observations, it was built basing on thermodynamic laws of thermodynamics and simple assumptions in order to simplify as much as possible its use in engineering without losing accuracy. To validate the model, we have simulated numerically the response and compared it to experimental data.
The paper deals with modeling and simulating the shape memory effect , one of many behaviors of s... more The paper deals with modeling and simulating the shape memory effect , one of many behaviors of shape memory alloys. The effect was first divided into three stages. Every stage has its own thermodynamic potential and constitutive equations. The martensite fraction is the only internal variable to be considered: in the first stage, it represents the fraction of detwinned martensite; in the second stage, it represents the fraction of transformed martensite into austenite, and in the last stage, it represents the fraction of the produced martensite from the austenite transformation. For every stage, we deduced the constitutive equations using the principles of thermodynamics and a simple formalism. When the model was defined, we simulated it using the experimental data obtained by analyzing a cube specimen subjected to triaxial traction and thermal load. The obtained results of this simulation reflect the behavior of this kind of materials when thermomechanical load is applied. The main finding of this paper is that the proposed constitutive model can be used to simulate the shape memory effect.
The present work aims to develop a 3D constitutive model to describe pseudoelastic effect on the ... more The present work aims to develop a 3D constitutive model to describe pseudoelastic effect on the behavior of memory shape alloys. This phenomenological constitutive model is based on a set of variables: temperature and stress as control variables, and the fraction of the martensite as an internal variable. By using the first and the second principle of thermodynamics and with a simple formalism, we have developed constitutive equations followed by criteria of transformations. This developed model has parameters intended to be determined by a tensile pseudoelastic test. We have introduced an algorithm to simulate the response of the model with respect to experimental data. Three cases were considered: one dimensional, biaxial and triaxial loading.
This paper aims to build a constitutive model intended to describe the thermomechanical behavior ... more This paper aims to build a constitutive model intended to describe the thermomechanical behavior of shape memory alloys. This behavior presents many facets, among them we have considered the simple way of shape memory, which is one of most important properties of shape memory alloys. Because of numerous stages of this effect, the subject was divided into three independent parts. For each part, we built the corresponding thermodynamic potential and we deduced the constitutive equations. To make this model workable, we have developed an algorithm. The simulation was performed using the NiTi as shape memory alloy.
Dans ce travail nous avons fixé comme but l'analyse des contraintes au niveau de la prot... more Dans ce travail nous avons fixé comme but l'analyse des contraintes au niveau de la prothèse totale de genou composée de deux implants, l'un fémoral et l'autre tibial. Comme la zircone est une biocéramique présentant des propriétés analogues à celles de l'alumine nous nous ...
Books by Meddour Belkacem
Ce polycopié contient deux parties: 1) Fatigue des matériaux pour l'engineering 2) Mécanique de l... more Ce polycopié contient deux parties:
- Fatigue des matériaux pour l'engineering
- Mécanique de la rupture linéaire
Ce polycopié est destiné aux élèves ingénieurs et aux étudiants de spécialité Constructions Mécan... more Ce polycopié est destiné aux élèves ingénieurs et aux étudiants de spécialité Constructions Mécaniques, maintenance de la filière de génie mécanique. Pour rendre cette matière compréhensible, les chapitres de cet ouvrage ont été conçus en présentant les définitions, les méthodes et les supports d’une façon aisée et claire, les exemples pour éclaircir la situation n’en manquent pas. Chaque chapitre est suivi d’exercices.
Ces cours de méthodes numériques sont destinés aux élèves ingénieurs ainsi qu'aux étudiants de li... more Ces cours de méthodes numériques sont destinés aux élèves ingénieurs ainsi qu'aux étudiants de licence LMD domaine sciences et techniques. Les méthodes sont exposées d'une façon simple à comprendre supportées par des exemples permettant à l'étudiant l'application. Ces méthodes touchent les problèmes de résolution des équations non linéaires & et systèmes d'équations linéaires, intégration numérique, interpolation et approximation des fonctions et enfin la résolution numérique des équations différentielles du premier ordre
Mechanics & Industry, 2015
Many facets of the behavior of shape memory alloys have enormously attracted scientists and resea... more Many facets of the behavior of shape memory alloys have enormously attracted scientists and researchers, studying and modeling their behavior are still problematic. It is in this context that several models have been developed using a lot of approaches ranging from microscopic to macroscopic scale. In this paper we have considered the superthermal effect (thermoelastic) of shape memory alloys and we have adopted a macroscopic approach. The model takes in account only macroscopic observations, it was built basing on thermodynamic laws of thermodynamics and simple assumptions in order to simplify as much as possible its use in engineering without losing accuracy. To validate the model, we have simulated numerically the response and compared it to experimental data.
The biomechanics field continues with its progress and will not cease to grow due to ongoing rese... more The biomechanics field continues with its progress and will not cease to grow due to ongoing research in this area to find better solutions to problems. It is in this context that this work aims to simulate the mechanical behavior of a dental prosthesis made from zirconia. The proposal of zirconia as a material for dental prosthesis is the main aim of this paper. Indeed, Zirconia as a bioceramic material presents many advantages, and especially good biocompatibility and high resistance of wear. On the other hand the disadvantage of this material is its fragility i.e. it has weak strength against cracking. So, in this paper we considered a dental prosthesis assumed to be implanted to an adult person. In order to study the crack initiation we considered a defect in this prosthesis. Using the conditions of blocking and loading by Abaqus simulating tool, we obtained the results revealing the possibility of using zirconia as a material for dental prosthesis.
Modeling and Numerical Simulation of Material Science, 2013
Journal of Serbian Society for Computational Mechanics, 2015
The present work aims to develop a 3D constitutive model to describe pseudoelastic effect on the ... more The present work aims to develop a 3D constitutive model to describe pseudoelastic effect on the behavior of memory shape alloys. This phenomenological constitutive model is based on a set of variables: temperature and stress as control variables, and the fraction of the martensite as an internal variable. By using the first and the second principle of thermodynamics and with a simple formalism, we have developed constitutive equations followed by criteria of transformations. This developed model has parameters intended to be determined by a tensile pseudoelastic test. We have introduced an algorithm to simulate the response of the model with respect to experimental data. Three cases were considered: one dimensional, biaxial and triaxial loading.
Scientific Technical Review, 2014
The paper deals with modeling and simulating the shape memory effect , one of many behaviors of s... more The paper deals with modeling and simulating the shape memory effect , one of many behaviors of shape memory alloys. The effect was first divided into three stages. Every stage has its own thermodynamic potential and constitutive equations. The martensite fraction is the only internal variable to be considered: in the first stage, it represents the fraction of detwinned martensite; in the second stage, it represents the fraction of transformed martensite into austenite, and in the last stage, it represents the fraction of the produced martensite from the austenite transformation. For every stage, we deduced the constitutive equations using the principles of thermodynamics and a simple formalism. When the model was defined, we simulated it using the experimental data obtained by analyzing a cube specimen subjected to triaxial traction and thermal load. The obtained results of this simulation reflect the behavior of this kind of materials when thermomechanical load is applied. The mai...
Shape-Memory Materials, Sep 26, 2018
The shape memory alloys (SMA) are distinguished from other conventional materials by a singular b... more The shape memory alloys (SMA) are distinguished from other conventional materials by a singular behavior which takes many forms depending on the thermomechanical load. The two-way shape memory effect is one of these forms. The interest that exhibits this behavior is that the material can remember two states, so this leads to many industrial applications. This thermoelastic property is driven by the temperature under residual stress of education. To model this effect in 3D, we considered stress and temperature as control variables and the fraction of martensite as internal variable; choosing Gibbs free energy expression and applying thermodynamic principles with transformation criteria have permitted to write the constitutive equations that control this behavior. The constructed model is then numerically simulated, and finally, the proposed model appears applicable in engineering.
Revue des composites et des matériaux avancés
Composite materials are very widely used in the manufacturing of structures because of their spec... more Composite materials are very widely used in the manufacturing of structures because of their specific mechanical properties. However, they are characterized by heterogeneity and anisotropy and they present great challenges in designing and also in predicting their behavior by using the numerical simulation. The unidirectional composite material has a more relevant property which is the transverse elasticity modulus E2. The determination of E2 is still interesting researchers because of the diversity of results obtained by several models and approaches. This study aims to predict the transverse elasticity modulus E2 of a unidirectional Glass/Epoxy composite material, the effect of the arrangement fibers on the transverse elasticity modulus and predict the values of the reinforcement factor used in the Halpin-Tsai model. To do so first we adopted the micromechanical approach, which is accurate but requires much computing, and we used a calculation code based on FEM method and consider...
Many facets of the behavior of shape memory alloys have enormously attracted scientists and resea... more Many facets of the behavior of shape memory alloys have enormously attracted scientists and researchers, studying and modeling their behavior are still problematic. It is in this context that several models have been developed using a lot of approaches ranging from microscopic to macroscopic scale. In this paper we have considered the superthermal effect (thermoelastic) of shape memory alloys and we have adopted a macroscopic approach. The model takes in account only macroscopic observations, it was built basing on thermodynamic laws of thermodynamics and simple assumptions in order to simplify as much as possible its use in engineering without losing accuracy. To validate the model, we have simulated numerically the response and compared it to experimental data.
The paper deals with modeling and simulating the shape memory effect , one of many behaviors of s... more The paper deals with modeling and simulating the shape memory effect , one of many behaviors of shape memory alloys. The effect was first divided into three stages. Every stage has its own thermodynamic potential and constitutive equations. The martensite fraction is the only internal variable to be considered: in the first stage, it represents the fraction of detwinned martensite; in the second stage, it represents the fraction of transformed martensite into austenite, and in the last stage, it represents the fraction of the produced martensite from the austenite transformation. For every stage, we deduced the constitutive equations using the principles of thermodynamics and a simple formalism. When the model was defined, we simulated it using the experimental data obtained by analyzing a cube specimen subjected to triaxial traction and thermal load. The obtained results of this simulation reflect the behavior of this kind of materials when thermomechanical load is applied. The main finding of this paper is that the proposed constitutive model can be used to simulate the shape memory effect.
The present work aims to develop a 3D constitutive model to describe pseudoelastic effect on the ... more The present work aims to develop a 3D constitutive model to describe pseudoelastic effect on the behavior of memory shape alloys. This phenomenological constitutive model is based on a set of variables: temperature and stress as control variables, and the fraction of the martensite as an internal variable. By using the first and the second principle of thermodynamics and with a simple formalism, we have developed constitutive equations followed by criteria of transformations. This developed model has parameters intended to be determined by a tensile pseudoelastic test. We have introduced an algorithm to simulate the response of the model with respect to experimental data. Three cases were considered: one dimensional, biaxial and triaxial loading.
This paper aims to build a constitutive model intended to describe the thermomechanical behavior ... more This paper aims to build a constitutive model intended to describe the thermomechanical behavior of shape memory alloys. This behavior presents many facets, among them we have considered the simple way of shape memory, which is one of most important properties of shape memory alloys. Because of numerous stages of this effect, the subject was divided into three independent parts. For each part, we built the corresponding thermodynamic potential and we deduced the constitutive equations. To make this model workable, we have developed an algorithm. The simulation was performed using the NiTi as shape memory alloy.
Dans ce travail nous avons fixé comme but l'analyse des contraintes au niveau de la prot... more Dans ce travail nous avons fixé comme but l'analyse des contraintes au niveau de la prothèse totale de genou composée de deux implants, l'un fémoral et l'autre tibial. Comme la zircone est une biocéramique présentant des propriétés analogues à celles de l'alumine nous nous ...
Ce polycopié contient deux parties: 1) Fatigue des matériaux pour l'engineering 2) Mécanique de l... more Ce polycopié contient deux parties:
- Fatigue des matériaux pour l'engineering
- Mécanique de la rupture linéaire
Ce polycopié est destiné aux élèves ingénieurs et aux étudiants de spécialité Constructions Mécan... more Ce polycopié est destiné aux élèves ingénieurs et aux étudiants de spécialité Constructions Mécaniques, maintenance de la filière de génie mécanique. Pour rendre cette matière compréhensible, les chapitres de cet ouvrage ont été conçus en présentant les définitions, les méthodes et les supports d’une façon aisée et claire, les exemples pour éclaircir la situation n’en manquent pas. Chaque chapitre est suivi d’exercices.
Ces cours de méthodes numériques sont destinés aux élèves ingénieurs ainsi qu'aux étudiants de li... more Ces cours de méthodes numériques sont destinés aux élèves ingénieurs ainsi qu'aux étudiants de licence LMD domaine sciences et techniques. Les méthodes sont exposées d'une façon simple à comprendre supportées par des exemples permettant à l'étudiant l'application. Ces méthodes touchent les problèmes de résolution des équations non linéaires & et systèmes d'équations linéaires, intégration numérique, interpolation et approximation des fonctions et enfin la résolution numérique des équations différentielles du premier ordre