https://sam.ensam.eu:443 The DSpace digital repository system captures, stores, indexes, preserves, and distributes digital research material. Mon, 13 Jul 2026 06:20:38 GMT 2026-07-13T06:20:38Z http://hdl.handle.net/10985/10006 Efficient solid–shell finite elements for quasi-static and dynamic analyses and their application to sheet metal forming simulation WANG, Peng; CHALAL, Hocine; ABED-MERAIM, Farid Thin structures are commonly designed and employedin engineering industries to save material, reduce weight and improve the overall performance of products. The finite element (FE) simulation of such thin structural components has become a powerful and useful tool in this field. For the last few decades, much attention and effort have been paid to establish accurate and efficient FE. In this regard, the solid–shell concept proved to be very attractive due to its multiple advantages. Several treatments are additionally applied to the formulation of solid–shell elements to avoid all locking phenomena and to guarantee the accuracy and efficiency during the simulation of thin structures. The current contribution presents a family of prismatic and hexahedral assumed-strain based solid–shell elements, in which an arbitrary number of integration points are distributed along the thickness direction. Both linear and quadratic formulations of the solid–shell family elements are implemented into ABAQUS static/implicit and dynamic/explicit software to model thin 3D problems with only a single layer through the thickness. Twopopular benchmark tests are first conducted, in both static and dynamic analyses, for validation purposes. Then, attention is focused on a complex sheet metal forming process involving large strain,plasticity and contact. Thu, 01 Jan 2015 00:00:00 GMT http://hdl.handle.net/10985/10006 2015-01-01T00:00:00Z WANG, Peng CHALAL, Hocine ABED-MERAIM, Farid Thin structures are commonly designed and employedin engineering industries to save material, reduce weight and improve the overall performance of products. The finite element (FE) simulation of such thin structural components has become a powerful and useful tool in this field. For the last few decades, much attention and effort have been paid to establish accurate and efficient FE. In this regard, the solid–shell concept proved to be very attractive due to its multiple advantages. Several treatments are additionally applied to the formulation of solid–shell elements to avoid all locking phenomena and to guarantee the accuracy and efficiency during the simulation of thin structures. The current contribution presents a family of prismatic and hexahedral assumed-strain based solid–shell elements, in which an arbitrary number of integration points are distributed along the thickness direction. Both linear and quadratic formulations of the solid–shell family elements are implemented into ABAQUS static/implicit and dynamic/explicit software to model thin 3D problems with only a single layer through the thickness. Twopopular benchmark tests are first conducted, in both static and dynamic analyses, for validation purposes. Then, attention is focused on a complex sheet metal forming process involving large strain,plasticity and contact. http://hdl.handle.net/10985/17481 Quadratic prismatic and hexahedral solid‒shell elements for geometric nonlinear analysis of laminated composite structures WANG, Peng; CHALAL, Hocine; ABED-MERAIM, Farid The current contribution proposes two quadratic, prismatic and hexahedral, solid–shell elements for the geometric nonlinear analysis of laminated composite structures. The formulation of the proposed solid–shell elements is based on a fully three-dimensional approach combining the assumed-strain method and the reduced-integration technique. In particular, only translational degrees of freedom are considered in the formulation and a preferential direction is chosen as the thickness direction, along which an arbitrary number of integration points are arranged. Making use of different physical local frames, these elements are coupled with fully three-dimensional orthotropic constitutive equations, which allows modeling multilayered composite structures with only a single element layer through the thickness. A series of popular nonlinear benchmark tests for laminated composite structures is performed to assess the performance of the proposed SHB elements. Compared to reference solutions taken from the literature, the results provided by the SHB elements show excellent agreement. Moreover, on the whole, the proposed SHB elements perform better than state-of-the-art ABAQUS elements, which have the same geometry and kinematics, using comparable mesh discretizations. Sun, 01 Jan 2017 00:00:00 GMT http://hdl.handle.net/10985/17481 2017-01-01T00:00:00Z WANG, Peng CHALAL, Hocine ABED-MERAIM, Farid The current contribution proposes two quadratic, prismatic and hexahedral, solid–shell elements for the geometric nonlinear analysis of laminated composite structures. The formulation of the proposed solid–shell elements is based on a fully three-dimensional approach combining the assumed-strain method and the reduced-integration technique. In particular, only translational degrees of freedom are considered in the formulation and a preferential direction is chosen as the thickness direction, along which an arbitrary number of integration points are arranged. Making use of different physical local frames, these elements are coupled with fully three-dimensional orthotropic constitutive equations, which allows modeling multilayered composite structures with only a single element layer through the thickness. A series of popular nonlinear benchmark tests for laminated composite structures is performed to assess the performance of the proposed SHB elements. Compared to reference solutions taken from the literature, the results provided by the SHB elements show excellent agreement. Moreover, on the whole, the proposed SHB elements perform better than state-of-the-art ABAQUS elements, which have the same geometry and kinematics, using comparable mesh discretizations. http://hdl.handle.net/10985/17479 Linear and Quadratic Solid-Shell Elements for Quasi-Static and Dynamic Simulations of Thin 3D Structures: Application to a Deep Drawing Process WANG, Peng; CHALAL, Hocine; ABED-MERAIM, Farid A family of prismatic and hexahedral solid–shell (SHB) elements, with their linear and quadratic versions, is proposed in this work to model thin structures. The formulation of these SHB elements is extended to explicit dynamic analysis and large-strain anisotropic plasticity on the basis of a fully three-dimensional approach using an arbitrary number of integration points along the thickness direction. Several special treatments are applied to the SHB elements in order to avoid all locking phenomena and to guarantee the accuracy and efficiency of the simulations. These solid-shell elements have been implemented into ABAQUS standard/quasi-static and explicit/dynamic software packages. A number of static and dynamic benchmark problems, as well as a simulation of the deep drawing of a cylindrical cup, have been conducted to assess the performance of these SHB elements. Sun, 01 Jan 2017 00:00:00 GMT http://hdl.handle.net/10985/17479 2017-01-01T00:00:00Z WANG, Peng CHALAL, Hocine ABED-MERAIM, Farid A family of prismatic and hexahedral solid–shell (SHB) elements, with their linear and quadratic versions, is proposed in this work to model thin structures. The formulation of these SHB elements is extended to explicit dynamic analysis and large-strain anisotropic plasticity on the basis of a fully three-dimensional approach using an arbitrary number of integration points along the thickness direction. Several special treatments are applied to the SHB elements in order to avoid all locking phenomena and to guarantee the accuracy and efficiency of the simulations. These solid-shell elements have been implemented into ABAQUS standard/quasi-static and explicit/dynamic software packages. A number of static and dynamic benchmark problems, as well as a simulation of the deep drawing of a cylindrical cup, have been conducted to assess the performance of these SHB elements. http://hdl.handle.net/10985/17480 Explicit dynamic analysis of sheet metal forming processes using linear prismatic and hexahedral solid‒shell elements WANG, Peng; CHALAL, Hocine; ABED-MERAIM, Farid This paper proposes two linear solid‒shell finite elements for the three-dimensional modeling of thin structures in the context of explicit dynamic analysis. These solid‒shell formulations, which are extensions of their quasi-static counterparts, consist of a six-node prismatic element, denoted SHB6-EXP, and an eight-node hexahedral element, denoted SHB8PS-EXP. Both elements are formulated based on a purely three-dimensional approach, with displacements as the only degrees of freedom. To prevent various locking phenomena, a reduced-integration scheme is used along with the assumed-strain method. The resulting formulations are computationally efficient, since only a single layer of elements with an arbitrary number of through-thickness integration points is required to model 3D thin structures. Both SHB6-EXP and SHB8PS-EXP elements have been implemented into the explicit dynamic code ABAQUS, using the VUEL user-element subroutine. The performance of these elements is first assessed through a set of selective and representative dynamic elasto-plastic benchmark tests, including impact-type problems. Then, attention is directed to the simulation of deep drawing processes involving complex non-linear loading paths, anisotropic plasticity and double-sided contact. The obtained numerical results demonstrate the good performance of the SHB-EXP elements in the modeling of 3D thin structures, with only a single element layer and few integration points in the thickness direction. Sun, 01 Jan 2017 00:00:00 GMT http://hdl.handle.net/10985/17480 2017-01-01T00:00:00Z WANG, Peng CHALAL, Hocine ABED-MERAIM, Farid This paper proposes two linear solid‒shell finite elements for the three-dimensional modeling of thin structures in the context of explicit dynamic analysis. These solid‒shell formulations, which are extensions of their quasi-static counterparts, consist of a six-node prismatic element, denoted SHB6-EXP, and an eight-node hexahedral element, denoted SHB8PS-EXP. Both elements are formulated based on a purely three-dimensional approach, with displacements as the only degrees of freedom. To prevent various locking phenomena, a reduced-integration scheme is used along with the assumed-strain method. The resulting formulations are computationally efficient, since only a single layer of elements with an arbitrary number of through-thickness integration points is required to model 3D thin structures. Both SHB6-EXP and SHB8PS-EXP elements have been implemented into the explicit dynamic code ABAQUS, using the VUEL user-element subroutine. The performance of these elements is first assessed through a set of selective and representative dynamic elasto-plastic benchmark tests, including impact-type problems. Then, attention is directed to the simulation of deep drawing processes involving complex non-linear loading paths, anisotropic plasticity and double-sided contact. The obtained numerical results demonstrate the good performance of the SHB-EXP elements in the modeling of 3D thin structures, with only a single element layer and few integration points in the thickness direction. http://hdl.handle.net/10985/17477 Quadratic solid‒shell elements for nonlinear structural analysis and sheet metal forming simulation WANG, Peng; CHALAL, Hocine; ABED-MERAIM, Farid In this paper, two quadratic solid‒shell (SHB) elements are proposed for the three-dimensional modeling of thin structures. These consist of a twenty-node hexahedral solid‒shell element, denoted SHB20, and its fifteen-node prismatic counterpart, denoted SHB15. The formulation of these elements is extended in this work to include geometric and material nonlinearities, for application to problems involving large displacements and rotations as well as plasticity. For this purpose, the SHB elements are coupled with large-strain anisotropic elasto-plastic constitutive equations for metallic materials. Although based on a purely three-dimensional approach, several modifications are introduced in the formulation of these elements to provide them with interesting shell features. In particular, a special direction is chosen to represent the thickness, along which a user-defined number of integration points are located. Furthermore, for efficiency requirements and for alleviating locking phenomena, an in-plane reduced-integration scheme is adopted. The resulting formulations are implemented into the finite element software ABAQUS/Standard and, to assess their performance, a variety of nonlinear benchmark problems are investigated. Attention is then focused on the simulation of various complex sheet metal forming processes, involving large strain, anisotropic plasticity, and double-sided contact. From all simulation results, it appears that the SHB elements represent an interesting alternative to traditional shell and solid elements, due to their versatility and capability of accurately modeling selective nonlinear benchmark problems as well as complex sheet metal forming processes. Sun, 01 Jan 2017 00:00:00 GMT http://hdl.handle.net/10985/17477 2017-01-01T00:00:00Z WANG, Peng CHALAL, Hocine ABED-MERAIM, Farid In this paper, two quadratic solid‒shell (SHB) elements are proposed for the three-dimensional modeling of thin structures. These consist of a twenty-node hexahedral solid‒shell element, denoted SHB20, and its fifteen-node prismatic counterpart, denoted SHB15. The formulation of these elements is extended in this work to include geometric and material nonlinearities, for application to problems involving large displacements and rotations as well as plasticity. For this purpose, the SHB elements are coupled with large-strain anisotropic elasto-plastic constitutive equations for metallic materials. Although based on a purely three-dimensional approach, several modifications are introduced in the formulation of these elements to provide them with interesting shell features. In particular, a special direction is chosen to represent the thickness, along which a user-defined number of integration points are located. Furthermore, for efficiency requirements and for alleviating locking phenomena, an in-plane reduced-integration scheme is adopted. The resulting formulations are implemented into the finite element software ABAQUS/Standard and, to assess their performance, a variety of nonlinear benchmark problems are investigated. Attention is then focused on the simulation of various complex sheet metal forming processes, involving large strain, anisotropic plasticity, and double-sided contact. From all simulation results, it appears that the SHB elements represent an interesting alternative to traditional shell and solid elements, due to their versatility and capability of accurately modeling selective nonlinear benchmark problems as well as complex sheet metal forming processes. http://hdl.handle.net/10985/20339 Simulation of nonlinear benchmarks and sheet metal forming processes using linear and quadratic solid–shell elements combined with advanced anisotropic behavior models WANG, Peng; CHALAL, Hocine; ABED-MERAIM, Farid A family of prismatic and hexahedral solid‒shell (SHB) elements with their linear and quadratic versions is presented in this paper to model thin 3D structures. Based on reduced integration and special treatments to eliminate locking effects and to control spurious zero-energy modes, the SHB solid‒shell elements are capable of modeling most thin 3D structural problems with only a single element layer, while describing accurately the various through-thickness phenomena. In this paper, the SHB elements are combined with fully 3D behavior models, including orthotropic elastic behavior for composite materials and anisotropic plastic behavior for metallic materials, which allows describing the strain/stress state in the thickness direction, in contrast to traditional shell elements. All SHB elements are implemented into ABAQUS using both standard/quasi-static and explicit/dynamic solvers. Several benchmark tests have been conducted, in order to first assess the performance of the SHB elements in quasi-static and dynamic analyses. Then, deep drawing of a hemispherical cup is performed to demonstrate the capabilities of the SHB elements in handling various types of nonlinearities (large displacements and rotations, anisotropic plasticity, and contact). Compared to classical ABAQUS solid and shell elements, the results given by the SHB elements show good agreement with the reference solutions. Fri, 01 Jan 2016 00:00:00 GMT http://hdl.handle.net/10985/20339 2016-01-01T00:00:00Z WANG, Peng CHALAL, Hocine ABED-MERAIM, Farid A family of prismatic and hexahedral solid‒shell (SHB) elements with their linear and quadratic versions is presented in this paper to model thin 3D structures. Based on reduced integration and special treatments to eliminate locking effects and to control spurious zero-energy modes, the SHB solid‒shell elements are capable of modeling most thin 3D structural problems with only a single element layer, while describing accurately the various through-thickness phenomena. In this paper, the SHB elements are combined with fully 3D behavior models, including orthotropic elastic behavior for composite materials and anisotropic plastic behavior for metallic materials, which allows describing the strain/stress state in the thickness direction, in contrast to traditional shell elements. All SHB elements are implemented into ABAQUS using both standard/quasi-static and explicit/dynamic solvers. Several benchmark tests have been conducted, in order to first assess the performance of the SHB elements in quasi-static and dynamic analyses. Then, deep drawing of a hemispherical cup is performed to demonstrate the capabilities of the SHB elements in handling various types of nonlinearities (large displacements and rotations, anisotropic plasticity, and contact). Compared to classical ABAQUS solid and shell elements, the results given by the SHB elements show good agreement with the reference solutions. http://hdl.handle.net/10985/26505 Quasi-static and dynamic simulation of sheet metal forming processes usiing linear and quadratic solid-shell elements WANG, Peng; CHALAL, Hocine; ABED-MERAIM, Farid A family of prismatic and hexahedral assumed-strain based solid–shell elements (SHB elements), with their linear and quadratic versions, are presented in this work to model thin structures. These SHB elements are based on a three-dimensional formulation with an arbitrary number of integration points along the thickness direction. Several special treatments are applied to the SHB elements to avoid all locking phenomena and guarantee the accuracy and efficiency of the simulations. These solid–shell elements have been implemented into ABAQUS using both static/implicit and dynamic/explicit versions. Several popular static and dynamic benchmark tests as well as sheet metal forming simulations are conducted to assess the performance of these SHB elements. Thu, 01 Jan 2015 00:00:00 GMT http://hdl.handle.net/10985/26505 2015-01-01T00:00:00Z WANG, Peng CHALAL, Hocine ABED-MERAIM, Farid A family of prismatic and hexahedral assumed-strain based solid–shell elements (SHB elements), with their linear and quadratic versions, are presented in this work to model thin structures. These SHB elements are based on a three-dimensional formulation with an arbitrary number of integration points along the thickness direction. Several special treatments are applied to the SHB elements to avoid all locking phenomena and guarantee the accuracy and efficiency of the simulations. These solid–shell elements have been implemented into ABAQUS using both static/implicit and dynamic/explicit versions. Several popular static and dynamic benchmark tests as well as sheet metal forming simulations are conducted to assess the performance of these SHB elements. http://hdl.handle.net/10985/20342 On the use of solid–shell elements for thin structures: Application to impact and sheet metal forming simulations WANG, Peng; CHALAL, Hocine; ABED-MERAIM, Farid A family of linear and quadratic assumed-strain based solid‒shell elements (SHB) is presented in this paper to simulate 3D thin structural problems including both quasi-static and dynamic analyses. The SHB solid‒shell elements are based on a three-dimensional formulation, with only displacements as degrees of freedom, and a reduced integration technique with an arbitrary number of integration points along the thickness direction, which enables them to model 3D thin structures with only one layer of elements through the thickness. All SHB elements have been successfully implemented into ABAQUS dynamic/explicit and static/implicit codes. Several static and dynamic benchmark tests as well as sheet metal forming process simulations, involving large strain, material nonlinearity and contact, have been conducted to assess the performance of the SHB elements. Fri, 01 Jan 2016 00:00:00 GMT http://hdl.handle.net/10985/20342 2016-01-01T00:00:00Z WANG, Peng CHALAL, Hocine ABED-MERAIM, Farid A family of linear and quadratic assumed-strain based solid‒shell elements (SHB) is presented in this paper to simulate 3D thin structural problems including both quasi-static and dynamic analyses. The SHB solid‒shell elements are based on a three-dimensional formulation, with only displacements as degrees of freedom, and a reduced integration technique with an arbitrary number of integration points along the thickness direction, which enables them to model 3D thin structures with only one layer of elements through the thickness. All SHB elements have been successfully implemented into ABAQUS dynamic/explicit and static/implicit codes. Several static and dynamic benchmark tests as well as sheet metal forming process simulations, involving large strain, material nonlinearity and contact, have been conducted to assess the performance of the SHB elements.