Explicit dynamic analysis of sheet metal forming processes using linear prismatic and hexahedral solid‒shell elements
TypeArticles dans des revues avec comité de lecture
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.
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