https://sam.ensam.eu:443 The DSpace digital repository system captures, stores, indexes, preserves, and distributes digital research material. Sun, 10 May 2026 21:22:23 GMT 2026-05-10T21:22:23Z http://hdl.handle.net/10985/17519 Linear and quadratic solid–shell finite elements SHB8PSE and SHB20E for the modeling of piezoelectric sandwich structures KPEKY, Fessal; ABED-MERAIM, Farid; BOUDAOUD, Hakim; DAYA, El Mostafa In this paper, hexahedral piezoelectric solid–shell finite element formulations, with linear and quadratic interpolation, denoted by SHB8PSE and SHB20E, respectively, are proposed for the modeling of piezoelectric sandwich structures. Compared to conventional solid and shell elements, the solid–shell concept reveals to be very attractive, due to a number of well-established advantages and computational capabilities. More specifically, the present study is devoted to the modeling and analysis of multilayer structures that incorporate piezoelectric materials in the form of layers or patches. The interest in this solid–shell approach is shown through a set of selective and representative benchmark problems. These include numerical tests applied to various configurations of beam, plate and shell structures, both in static and vibration analysis. The results yielded by the proposed formulations are compared with those given by state-of-the-art piezoelectric elements available in ABAQUS; in particular, the C3D20E quadratic hexahedral finite element with piezoelectric degrees of freedom. Mon, 01 Jan 2018 00:00:00 GMT http://hdl.handle.net/10985/17519 2018-01-01T00:00:00Z KPEKY, Fessal ABED-MERAIM, Farid BOUDAOUD, Hakim DAYA, El Mostafa In this paper, hexahedral piezoelectric solid–shell finite element formulations, with linear and quadratic interpolation, denoted by SHB8PSE and SHB20E, respectively, are proposed for the modeling of piezoelectric sandwich structures. Compared to conventional solid and shell elements, the solid–shell concept reveals to be very attractive, due to a number of well-established advantages and computational capabilities. More specifically, the present study is devoted to the modeling and analysis of multilayer structures that incorporate piezoelectric materials in the form of layers or patches. The interest in this solid–shell approach is shown through a set of selective and representative benchmark problems. These include numerical tests applied to various configurations of beam, plate and shell structures, both in static and vibration analysis. The results yielded by the proposed formulations are compared with those given by state-of-the-art piezoelectric elements available in ABAQUS; in particular, the C3D20E quadratic hexahedral finite element with piezoelectric degrees of freedom. http://hdl.handle.net/10985/17515 Influence of geometric and material parameters on the damping properties of multilayer structures KPEKY, Fessal; AKOUSSAN, Komlan; ABED-MERAIM, Farid; DAYA, El Mostafa In this paper, we investigate the influence of deviations in the design and implementation parameters on the damping properties of multilayer viscoelastic structures. This work is based on a numerical approach, which uses recently developed solid–shell elements that have been specifically designed for the modeling of multilayer structures. The originality in the current study lies in the analysis of variation in the design parameters, which could be of geometric or material type. Indeed, although several models have been proposed to study variability, they remain mostly complex to implement. Our approach is rather simple, and is based on the uncertainty on the actual values of several parameters in some well-defined intervals. The developed method is applied to the vibration modeling of multilayer structures, with elastic faces and viscoelastic core material. The resulting problem is discretized by using quadratic solid–shell finite elements. To solve the associated nonlinear equations, we adopt the method that couples the homotopy technique to the Asymptotic Numerical Method (ANM) as well as the Automatic Differentiation (AD) and path continuation. The obtained results provide useful information on the error tolerance margin that could be allowed without compromising structural integrity. Mon, 01 Jan 2018 00:00:00 GMT http://hdl.handle.net/10985/17515 2018-01-01T00:00:00Z KPEKY, Fessal AKOUSSAN, Komlan ABED-MERAIM, Farid DAYA, El Mostafa In this paper, we investigate the influence of deviations in the design and implementation parameters on the damping properties of multilayer viscoelastic structures. This work is based on a numerical approach, which uses recently developed solid–shell elements that have been specifically designed for the modeling of multilayer structures. The originality in the current study lies in the analysis of variation in the design parameters, which could be of geometric or material type. Indeed, although several models have been proposed to study variability, they remain mostly complex to implement. Our approach is rather simple, and is based on the uncertainty on the actual values of several parameters in some well-defined intervals. The developed method is applied to the vibration modeling of multilayer structures, with elastic faces and viscoelastic core material. The resulting problem is discretized by using quadratic solid–shell finite elements. To solve the associated nonlinear equations, we adopt the method that couples the homotopy technique to the Asymptotic Numerical Method (ANM) as well as the Automatic Differentiation (AD) and path continuation. The obtained results provide useful information on the error tolerance margin that could be allowed without compromising structural integrity. http://hdl.handle.net/10985/17520 Modeling of hybrid vibration control for multilayer structures using solid– shell finite elements KPEKY, Fessal; ABED-MERAIM, Farid; DAYA, El Mostafa; SAMAH, Ouro-Djobo A self-control method of vibrations is presented in this paper. This method combines the passive damping capabilities afforded by viscoelastic materials with the active control properties associated with piezoelectric materials. Active control is introduced, using the piezoelectric properties, in order to improve the reduction in vibration amplitudes that can be obtained by viscoelastic passive damping alone. To this end, a filter has been mounted between the sensors and actuators. The resulting nonlinear problem is discretized using the recently developed solid–shell finite element SHB20E, due to the advantages it offers in terms of accuracy and efficiency, as compared to standard finite elements with the same geometry and kinematics. In order to solve the discretized problem, a resolution method using DIAMANT approach is developed. A set of selective and representative numerical tests are performed on multilayer plates to demonstrate the interest of the proposed damping model. Mon, 01 Jan 2018 00:00:00 GMT http://hdl.handle.net/10985/17520 2018-01-01T00:00:00Z KPEKY, Fessal ABED-MERAIM, Farid DAYA, El Mostafa SAMAH, Ouro-Djobo A self-control method of vibrations is presented in this paper. This method combines the passive damping capabilities afforded by viscoelastic materials with the active control properties associated with piezoelectric materials. Active control is introduced, using the piezoelectric properties, in order to improve the reduction in vibration amplitudes that can be obtained by viscoelastic passive damping alone. To this end, a filter has been mounted between the sensors and actuators. The resulting nonlinear problem is discretized using the recently developed solid–shell finite element SHB20E, due to the advantages it offers in terms of accuracy and efficiency, as compared to standard finite elements with the same geometry and kinematics. In order to solve the discretized problem, a resolution method using DIAMANT approach is developed. A set of selective and representative numerical tests are performed on multilayer plates to demonstrate the interest of the proposed damping model. http://hdl.handle.net/10985/17516 New linear and quadratic prismatic piezoelectric solid–shell finite elements KPEKY, Fessal; ABED-MERAIM, Farid; DAYA, El Mostafa In this work, we propose two prismatic piezoelectric solid–shell elements based on fully three-dimensional kinematics. For this purpose, we perform electromechanical coupling, which consists in adding an electrical degree of freedom to each node of the purely mechanics-based versions of these elements. To increase efficiency, these geometrically three-dimensional elements are provided with some desirable shell features, such as a special direction, designated as the thickness, along which the integration points are located, while adopting a reduced integration rule in the other directions. To assess the performance of the proposed piezoelectric solid–shell elements, a variety of benchmark tests, both in static and vibration analysis, have been performed on multilayer structures ranging from simple beams to more complex structures involving geometric nonlinearities. Compared to conventional finite elements with the same kinematics, the evaluation results allow highlighting the higher performance of the newly developed solid–shell technology. Mon, 01 Jan 2018 00:00:00 GMT http://hdl.handle.net/10985/17516 2018-01-01T00:00:00Z KPEKY, Fessal ABED-MERAIM, Farid DAYA, El Mostafa In this work, we propose two prismatic piezoelectric solid–shell elements based on fully three-dimensional kinematics. For this purpose, we perform electromechanical coupling, which consists in adding an electrical degree of freedom to each node of the purely mechanics-based versions of these elements. To increase efficiency, these geometrically three-dimensional elements are provided with some desirable shell features, such as a special direction, designated as the thickness, along which the integration points are located, while adopting a reduced integration rule in the other directions. To assess the performance of the proposed piezoelectric solid–shell elements, a variety of benchmark tests, both in static and vibration analysis, have been performed on multilayer structures ranging from simple beams to more complex structures involving geometric nonlinearities. Compared to conventional finite elements with the same kinematics, the evaluation results allow highlighting the higher performance of the newly developed solid–shell technology. http://hdl.handle.net/10985/20336 Influence of variability in geometric and material parameters on the damping properties of multilayer structures KPEKY, Fessal; ABED-MERAIM, Farid; DAYA, El Mostafa In this work, we present finite element models based on the solid–shell approach, which have been specifically designed for the modeling of multilayer structures. The originality in the current study lies in the analysis of variability in the design parameters, which could be of geometric or material type. The first type of imperfections generally results from the manufacturing of such structures [1], while the second source of variability arises from the mechanical parameters of the same material, as identified in the literature (e.g., Aluminum Young modulus equal to 70.3 GPa in [2], while estimated as 69 GPa in [3]). Therefore, it is of importance to assess the influence of these uncertainties on the design of actual structures. To this end, several studies have been proposed in the literature, among which in reference [4], the MSP (Modal Stability Procedure) was combined with the MCS (Monte Carlo Simulation). The approach we propose is rather simple and is based on the uncertainty on the actual values of several parameters in some well-defined intervals. The developed method is applied to modeling the vibrations of multilayer shell structures made of elastic layers, viscoelastic and piezoelectric materials. The resulting problem is discretized by linear and quadratic solid–shell finite elements developed in [5, 6] and extended to viscoelastic sandwich structures in [7]. To solve the associated nonlinear equations, we adopt the method that couples the homotopy to ANM (Asymptotic Numerical Method) and AD (Automatic Differentiation) proposed in [8]. The obtained results provide information on the tolerance margin of error that can be committed without compromising structural integrity. Fri, 01 Jan 2016 00:00:00 GMT http://hdl.handle.net/10985/20336 2016-01-01T00:00:00Z KPEKY, Fessal ABED-MERAIM, Farid DAYA, El Mostafa In this work, we present finite element models based on the solid–shell approach, which have been specifically designed for the modeling of multilayer structures. The originality in the current study lies in the analysis of variability in the design parameters, which could be of geometric or material type. The first type of imperfections generally results from the manufacturing of such structures [1], while the second source of variability arises from the mechanical parameters of the same material, as identified in the literature (e.g., Aluminum Young modulus equal to 70.3 GPa in [2], while estimated as 69 GPa in [3]). Therefore, it is of importance to assess the influence of these uncertainties on the design of actual structures. To this end, several studies have been proposed in the literature, among which in reference [4], the MSP (Modal Stability Procedure) was combined with the MCS (Monte Carlo Simulation). The approach we propose is rather simple and is based on the uncertainty on the actual values of several parameters in some well-defined intervals. The developed method is applied to modeling the vibrations of multilayer shell structures made of elastic layers, viscoelastic and piezoelectric materials. The resulting problem is discretized by linear and quadratic solid–shell finite elements developed in [5, 6] and extended to viscoelastic sandwich structures in [7]. To solve the associated nonlinear equations, we adopt the method that couples the homotopy to ANM (Asymptotic Numerical Method) and AD (Automatic Differentiation) proposed in [8]. The obtained results provide information on the tolerance margin of error that can be committed without compromising structural integrity. http://hdl.handle.net/10985/20338 New Linear and Quadratic Piezoelectric Solid-Shell Finite Elements KPEKY, Fessal; ABED-MERAIM, Farid; DAYA, El Mostafa The modeling of piezoelectric structures has been the subject of active research in recent decades (Tzou et al., 1994; Benjeddou et al., 1997; Klinkel and Wagner, 2006). However, advanced finite element technologies that are capable of efficiently modeling multilayer structures with high geometric contrast are still lacking. In this work, we propose piezoelectric extensions to recently developed solid-shell elements (Abed-Meraim and Combescure, 2009; Trinh et al., 2011; Abed-Meraim et al., 2013). For this purpose, we performed an electromechanical coupling, which consists in adding an electrical degree of freedom to each node of these elements. To increase efficiency, these elements are provided with a special direction, designated as the thickness, along which the integration points are located, while adopting a reduced integration rule in the other directions. To assess the performance of the proposed piezoelectric solid-shell elements, a variety of benchmark problems, both in static and vibration analysis, have been conducted on multilayer structures ranging from simple beams to more complex structures involving geometric nonlinearities. Compared to traditional finite elements with the same kinematics, the evaluation results allow emphasizing the higher performance of the newly developed solid-shell concept. Fri, 01 Jan 2016 00:00:00 GMT http://hdl.handle.net/10985/20338 2016-01-01T00:00:00Z KPEKY, Fessal ABED-MERAIM, Farid DAYA, El Mostafa The modeling of piezoelectric structures has been the subject of active research in recent decades (Tzou et al., 1994; Benjeddou et al., 1997; Klinkel and Wagner, 2006). However, advanced finite element technologies that are capable of efficiently modeling multilayer structures with high geometric contrast are still lacking. In this work, we propose piezoelectric extensions to recently developed solid-shell elements (Abed-Meraim and Combescure, 2009; Trinh et al., 2011; Abed-Meraim et al., 2013). For this purpose, we performed an electromechanical coupling, which consists in adding an electrical degree of freedom to each node of these elements. To increase efficiency, these elements are provided with a special direction, designated as the thickness, along which the integration points are located, while adopting a reduced integration rule in the other directions. To assess the performance of the proposed piezoelectric solid-shell elements, a variety of benchmark problems, both in static and vibration analysis, have been conducted on multilayer structures ranging from simple beams to more complex structures involving geometric nonlinearities. Compared to traditional finite elements with the same kinematics, the evaluation results allow emphasizing the higher performance of the newly developed solid-shell concept. http://hdl.handle.net/10985/10266 Modeling of viscoelastic sandwich beams using solid-shell finite elements KPEKY, Fessal; BOUDAOUD, Hakim; ABED-MERAIM, Farid; DAYA, El Mostafa The aim of this work is to propose vibration modeling of sandwich structures with soft core using solid-shell finite elements. Several approaches have been adopted in the literature to accurately model this type of structures; however, they show some limitations in certain configurations of high contrast of material properties or geometric aspect ratios between the different layers. In such situations, it is generally well-known that the use of higher-order or three-dimensional finite elements is more appropriate, but will generate a large number of degrees of freedom and, thereby, large CPU times. In this work, an alternative method is proposed by considering a recently developed linear hexahedral solid-shell element. This solid-shell element is implemented into Matlab in order to use the so-called solver Diamant, which couples Asymptotic Numerical Method (ANM) and Automatic Differentiation (AD). Numerical tests, including various cantilever sandwich beams as well as a simplified pattern of rail on sleepers, are performed to show the efficiency of the proposed approach. Thu, 01 Jan 2015 00:00:00 GMT http://hdl.handle.net/10985/10266 2015-01-01T00:00:00Z KPEKY, Fessal BOUDAOUD, Hakim ABED-MERAIM, Farid DAYA, El Mostafa The aim of this work is to propose vibration modeling of sandwich structures with soft core using solid-shell finite elements. Several approaches have been adopted in the literature to accurately model this type of structures; however, they show some limitations in certain configurations of high contrast of material properties or geometric aspect ratios between the different layers. In such situations, it is generally well-known that the use of higher-order or three-dimensional finite elements is more appropriate, but will generate a large number of degrees of freedom and, thereby, large CPU times. In this work, an alternative method is proposed by considering a recently developed linear hexahedral solid-shell element. This solid-shell element is implemented into Matlab in order to use the so-called solver Diamant, which couples Asymptotic Numerical Method (ANM) and Automatic Differentiation (AD). Numerical tests, including various cantilever sandwich beams as well as a simplified pattern of rail on sleepers, are performed to show the efficiency of the proposed approach. http://hdl.handle.net/10985/10474 Modélisation par éléments finis de type solide-coque de structures piézoélectriques KPEKY, Fessal; BOUDAOUD, Hakim; ABED-MERAIM, Farid; DAYA, El Mostafa Dans les dernières décennies, les structures à parois minces intégrant des couches ou patchs de matériaux piézoélectriques ont eu un essor. Ils sont utilisés pour le contrôle des vibrations et de forme, le contrôle acoustique, l’auscultation d'ouvrage de génie civil et aussi dans le domaine de la santé, entre autres. La prédiction du comportement de tels matériaux devient donc indispensable pour leur bonne mise en œuvre. L’un des moyens les moins onéreux pour ce faire est la modélisation numérique, dont le plus répandu demeure la méthode des éléments finis. Depuis les premiers travaux, plusieurs outils ont été proposés dans la littérature pour modéliser le mieux possible les structures piézoélectriques. Beaucoup d’éléments finis tant 2D que 3D ont été développés. Malgré tous ces modèles présents dans la littérature, force est de constater une pénurie d’éléments capables de modéliser à moindre coût des structures combinant couches fines et couches épaisses. La seule alternative demeure un maillage fin avec des éléments volumiques. Ce travail propose l’extension des éléments finis SHB8PS et SHB20, respectivement présentés dans, pour la modélisation des structures contenant des matériaux piézoélectriques. Pour ce faire, des degrés de libertés électriques ont été greffés aux éléments ci-haut en vue de prendre en compte le couplage mécanique-électrique. La loi de contrôle de type PD (Proportional Derivative) a été implémentée pour le contrôle des vibrations. Pour résoudre ce dernier, le solveur « diamant » (DIfférentiation Automatique de la Méthode Asymptotique Numérique Typée) a également été étendu. Ceci a permis de résoudre le problème en prenant en compte la dépendance en fréquence résultant de la partie en vitesse de la loi de contrôle. Pour valider cette nouvelle approche, des tests en statique et vibrations ont été effectués sur des poutres, plaques et coques dans diverses configurations. Les résultats sont confrontés à ceux donnés par les éléments de référence C3D20E (3D quadratique avec ddls piézoélectriques) d’Abaqus et les éléments HEX20E (éléments hexaédriques basiques à interpolation quadratique et avec ddls piézoélectriques). Ce dernier choix (HEX20E codé dans Matlab) est motivé par le fait que certains calculs, tels que la prise en compte du contrôle, ne pouvaient pas se faire avec Abaqus. Il ressort de tous ces cas tests que les éléments SHB8PSE et SHB20E nécessitent moins de degrés de liberté que le C3D20E pour converger. Quelques résultats phares de la modélisation proposée sont présentés ci-dessous. Thu, 01 Jan 2015 00:00:00 GMT http://hdl.handle.net/10985/10474 2015-01-01T00:00:00Z KPEKY, Fessal BOUDAOUD, Hakim ABED-MERAIM, Farid DAYA, El Mostafa Dans les dernières décennies, les structures à parois minces intégrant des couches ou patchs de matériaux piézoélectriques ont eu un essor. Ils sont utilisés pour le contrôle des vibrations et de forme, le contrôle acoustique, l’auscultation d'ouvrage de génie civil et aussi dans le domaine de la santé, entre autres. La prédiction du comportement de tels matériaux devient donc indispensable pour leur bonne mise en œuvre. L’un des moyens les moins onéreux pour ce faire est la modélisation numérique, dont le plus répandu demeure la méthode des éléments finis. Depuis les premiers travaux, plusieurs outils ont été proposés dans la littérature pour modéliser le mieux possible les structures piézoélectriques. Beaucoup d’éléments finis tant 2D que 3D ont été développés. Malgré tous ces modèles présents dans la littérature, force est de constater une pénurie d’éléments capables de modéliser à moindre coût des structures combinant couches fines et couches épaisses. La seule alternative demeure un maillage fin avec des éléments volumiques. Ce travail propose l’extension des éléments finis SHB8PS et SHB20, respectivement présentés dans, pour la modélisation des structures contenant des matériaux piézoélectriques. Pour ce faire, des degrés de libertés électriques ont été greffés aux éléments ci-haut en vue de prendre en compte le couplage mécanique-électrique. La loi de contrôle de type PD (Proportional Derivative) a été implémentée pour le contrôle des vibrations. Pour résoudre ce dernier, le solveur « diamant » (DIfférentiation Automatique de la Méthode Asymptotique Numérique Typée) a également été étendu. Ceci a permis de résoudre le problème en prenant en compte la dépendance en fréquence résultant de la partie en vitesse de la loi de contrôle. Pour valider cette nouvelle approche, des tests en statique et vibrations ont été effectués sur des poutres, plaques et coques dans diverses configurations. Les résultats sont confrontés à ceux donnés par les éléments de référence C3D20E (3D quadratique avec ddls piézoélectriques) d’Abaqus et les éléments HEX20E (éléments hexaédriques basiques à interpolation quadratique et avec ddls piézoélectriques). Ce dernier choix (HEX20E codé dans Matlab) est motivé par le fait que certains calculs, tels que la prise en compte du contrôle, ne pouvaient pas se faire avec Abaqus. Il ressort de tous ces cas tests que les éléments SHB8PSE et SHB20E nécessitent moins de degrés de liberté que le C3D20E pour converger. Quelques résultats phares de la modélisation proposée sont présentés ci-dessous. http://hdl.handle.net/10985/10109 Vibration modeling of sandwich structures using solid-shell finite elements KPEKY, Fessal; BOUDAOUD, Hakim; CHALAL, Hocine; ABED-MERAIM, Farid; DAYA, El Mostafa The aim of this work is to propose a new finite element modeling for vibration of sandwich structures with soft core. Indeed, several approaches have been adopted in the literature to accurately model these types of structures, but show some limitations in certain configurations of high contrast of material properties or geometric aspect ratios between the different layers. In these situations, it is generally well-known that the use of higher-order or three-dimensional finite elements is more appropriate, but will generate a large number of degrees of freedom, and thereby, large CPU times. In this work, an alternative method is followed by considering the linear hexahedral solid-shell element previously developed by Abed-Meraim and Combescure [1]. This element is implemented into the commercial software ABAQUS Via a User Element (UEL) subroutine. Numerical tests on various cantilever sandwich beams are performed to show the efficiency of this approach. Wed, 01 Jan 2014 00:00:00 GMT http://hdl.handle.net/10985/10109 2014-01-01T00:00:00Z KPEKY, Fessal BOUDAOUD, Hakim CHALAL, Hocine ABED-MERAIM, Farid DAYA, El Mostafa The aim of this work is to propose a new finite element modeling for vibration of sandwich structures with soft core. Indeed, several approaches have been adopted in the literature to accurately model these types of structures, but show some limitations in certain configurations of high contrast of material properties or geometric aspect ratios between the different layers. In these situations, it is generally well-known that the use of higher-order or three-dimensional finite elements is more appropriate, but will generate a large number of degrees of freedom, and thereby, large CPU times. In this work, an alternative method is followed by considering the linear hexahedral solid-shell element previously developed by Abed-Meraim and Combescure [1]. This element is implemented into the commercial software ABAQUS Via a User Element (UEL) subroutine. Numerical tests on various cantilever sandwich beams are performed to show the efficiency of this approach. http://hdl.handle.net/10985/13034 Analysis of primal and dual variables in structural shape control by piezoelectric patches using solid-shell finite elements KPEKY, Fessal; ABED-MERAIM, Farid; DAYA, El Mostafa This paper presents an assessment of the performances of new piezoelectric solid−shell finite elements. Compared to conventional solid and shell elements, the solid–shell concept reveals to be very attractive, due to a number of well-established advantages and computational capabilities. This paper focuses on two element formulations, denoted SHB15E and SHB20E, which represent a quadratic prismatic solid−shell element and its hexahedral counterpart, respectively. The current analysis consists in an evaluation of primal and dual variables during the process of shape control of structures. The interest in this solid–shell approach is shown through a set of selective and representative plate and shell benchmark problems. The results obtained by the proposed formulations are compared with those given by state-of-the-art piezoelectric elements available in ABAQUS. Sun, 01 Jan 2017 00:00:00 GMT http://hdl.handle.net/10985/13034 2017-01-01T00:00:00Z KPEKY, Fessal ABED-MERAIM, Farid DAYA, El Mostafa This paper presents an assessment of the performances of new piezoelectric solid−shell finite elements. Compared to conventional solid and shell elements, the solid–shell concept reveals to be very attractive, due to a number of well-established advantages and computational capabilities. This paper focuses on two element formulations, denoted SHB15E and SHB20E, which represent a quadratic prismatic solid−shell element and its hexahedral counterpart, respectively. The current analysis consists in an evaluation of primal and dual variables during the process of shape control of structures. The interest in this solid–shell approach is shown through a set of selective and representative plate and shell benchmark problems. The results obtained by the proposed formulations are compared with those given by state-of-the-art piezoelectric elements available in ABAQUS.