Static analysis of composite material plates "Case of a typical ceramic/metal FGM" in thermal environments

The abrupt change in the properties of composite materials across the interface between different materials can cause strong inter-laminar stresses leading to delineation, cracking and other damage mechanisms. To remedy these defects, functional gradient materials (FGM), in which the properties of materials vary constantly, have been proposed. The purpose of this paper is to analyze the thermomechanical bending behavior of ceramic / metal thick plates (FGM). This work presents a model employing a new transverse shear function. The numerical results obtained by the present analysis are presented and compared with those available in the literature. It can be concluded that this theory is effective and simple for static analysis of FGM plates in thermal environments.Le changement brutal des propriétés des matériaux à travers l'interface entre les différents matériaux peut provoquer de fortes contraintes inter-laminaires menant à la délimitation, au craquage et à d'autres mécanismes de dommages. Pour remédier à ces défauts, des matériaux à gradient fonctionnel (FGM), au sein de laquelle les propriétés des matériaux varient sans cesse, ont été proposés. L’objectif de cet article est d’analyser le comportement thermomécanique en flexion des plaques épaisses (FGM) en céramique/métal. Ce travail présente un modèle employant une nouvelle fonction de cisaillement transverse. Les résultats numériques obtenus par la présente analyse sont présentés et comparés à ceux disponibles dans la littérature. On peut conclure que cette théorie est efficace et simple pour l’analyse statique des plaques FGM dans des environnements thermiques.The abrupt change in the properties of composite materials across the interface between different materials can cause strong inter-laminar stresses leading to delineation, cracking and other damage mechanisms. To remedy these defects, functional gradient materials (FGM), in which the properties of materials vary constantly, have been proposed. The purpose of this paper is to analyze the thermomechanical bending behavior of ceramic / metal thick plates (FGM). This work presents a model employing a new transverse shear function. The numerical results obtained by the present analysis are presented and compared with those available in the literature. It can be concluded that this theory is effective and simple for static analysis of FGM plates in thermal environments

Static analysis of composite material plates "Case of a typical ceramic/metal FGM" in thermal environments

The abrupt change in the properties of composite materials across the interface between different materials can cause strong inter-laminar stresses leading to delineation, cracking and other damage mechanisms. To remedy these defects, functional gradient materials (FGM), in which the properties of materials vary constantly, have been proposed. The purpose of this paper is to analyze the thermomechanical bending behavior of ceramic / metal thick plates (FGM). This work presents a model employing a new transverse shear function. The numerical results obtained by the present analysis are presented and compared with those available in the literature. It can be concluded that this theory is effective and simple for static analysis of FGM plates in thermal environments.Le changement brutal des propriétés des matériaux à travers l'interface entre les différents matériaux peut provoquer de fortes contraintes inter-laminaires menant à la délimitation, au craquage et à d'autres mécanismes de dommages. Pour remédier à ces défauts, des matériaux à gradient fonctionnel (FGM), au sein de laquelle les propriétés des matériaux varient sans cesse, ont été proposés. L’objectif de cet article est d’analyser le comportement thermomécanique en flexion des plaques épaisses (FGM) en céramique/métal. Ce travail présente un modèle employant une nouvelle fonction de cisaillement transverse. Les résultats numériques obtenus par la présente analyse sont présentés et comparés à ceux disponibles dans la littérature. On peut conclure que cette théorie est efficace et simple pour l’analyse statique des plaques FGM dans des environnements thermiques.The abrupt change in the properties of composite materials across the interface between different materials can cause strong inter-laminar stresses leading to delineation, cracking and other damage mechanisms. To remedy these defects, functional gradient materials (FGM), in which the properties of materials vary constantly, have been proposed. The purpose of this paper is to analyze the thermomechanical bending behavior of ceramic / metal thick plates (FGM). This work presents a model employing a new transverse shear function. The numerical results obtained by the present analysis are presented and compared with those available in the literature. It can be concluded that this theory is effective and simple for static analysis of FGM plates in thermal environments

Bending Response of Composite Material Plates with Specific Properties, Case of a Typical FGM "Ceramic/Metal" in Thermal Environments

The rapid development of composite materials and structures in recent years has attracted the increased attention of many engineers and researchers. These materials are widely used in aerospace, military, mechanical, nuclear, marine, optical, electronic, chemical, biomedical, energy sources, automotive fields, ship building and structural engineering industries. In conventional laminate composite structures, homogeneous elastic plate are bonded together to obtain improved mechanical and thermal properties. However, the abrupt change in material properties across the interface between the different materials can cause strong inter-laminar stresses leading to delamination, cracking, and other damage mechanisms at the interface between the layers. To remedy these defects, functionally graded materials (FGM) are used, in which the properties of materials vary constantly. The purpose of this paper is to analyze the thermomechanical bending behavior of functionally graded thick plates (FGM) made in ceramic/metal. This work presents a model that employed a new transverse shear function. The numerical results obtained by the present analysis are presented and compared with those available in the literature (classical, first-order, and other higher-order theories). It can be concluded that this theory is effective and simple for the static analysis of composite material plates with specific properties "Case of a typical FGM (ceramic/metal)" in thermal environments

Non-linear finite element analysis of reinforced concrete members and punching shear strength of HSC slabs

A rational three-dimensional nonlinear finite element model (NLFEAS) is used for evaluating the behavior of high strength concrete slabs under monotonic transverse load. The non-linear equations of equilibrium have been solved using the incremental-iterative technique based on the modified Newton-Raphson method. The convergence of the solution was controlled by a load convergence criterion. The validity of the theoretical formulations and the program used was verified, through comparison with results obtained using ANSYS program and with available experimental test results. A parametric study was conducted to investigate the effect of different parameters on the behavior of slabs which was evaluated in terms of loaddeflection characteristics, concrete and steel stresses and strains, and failure mechanisms. Also, punching shear resistance of slabs was numerically evaluated and compared with the prediction specified by some design codes

Effect of reliability and lateral-torsional buckling of steel beams in the linear and non-linear domain

Reliability and lateral buckling of thin-walled steel beams have become major concerns among researchers in civil engineering. A comparative study on the reliability of these beams has been conducted, focusing on the effects of lateral-torsional buckling (LTB) in both linear and non-linear domains. Initially, a non-linear model is applied within the context of large torsion using non-linear kinematics. Galerkin's method is utilized to derive equilibrium equations for simply supported beams, and numerical solutions are obtained using the Arc-length method. Theoretical and numerical results are examined for bi-symmetric I-section beams subjected to uniformly distributed loads. Additionally, a coupled model termed 'Coupling Reliability Lateral Buckling' (CRLB) is developed to assess the reliability index of steel beams, taking into account the non-linear post-buckling behavior of these beams

Non-linear finite element analysis of reinforced concrete members and punching shear strength of HSC slabs

A rational three-dimensional nonlinear finite element model (NLFEAS) is used for evaluating the behavior of high strength concrete slabs under monotonic transverse load. The non-linear equations of equilibrium have been solved using the incremental-iterative technique based on the modified Newton-Raphson method. The convergence of the solution was controlled by a load convergence criterion. The validity of the theoretical formulations and the program used was verified, through comparison with results obtained using ANSYS program and with available experimental test results. A parametric study was conducted to investigate the effect of different parameters on the behavior of slabs which was evaluated in terms of loaddeflection characteristics, concrete and steel stresses and strains, and failure mechanisms. Also, punching shear resistance of slabs was numerically evaluated and compared with the prediction specified by some design codes

Analytical solutions attempt for lateral torsional buckling of doubly symmetric web-tapered I-beams

International audienceThe elastic lateral torsional buckling behavior of doubly symmetric web tapered thin-walled beams is investigated in this work. For the purpose, a non-linear model is developed in large torsion context according to a new kinematics proposed model. Firstly, the elastic equilibrium governing equations are carried out from the stationary condition. Secondly, the Ritz's method is deployed in order to derive the algebraic equilibrium equations. From this system, an analytical formula is proposed for the lateral buckling strength of web tapered beams in function of the classical stiffness terms, the load height position and the tapering parameter. The proposed formula is simple and gives accurate results when compared to finite element simulations. For this aim some numerical examples are considered in the validation process