Development of a one point quadrature shell element for nonlinear applications with contact and anisotropy
By Rui P. R. Cardoso, Jeong Whan Yoon, J. Gracio, Frederic Barlat, J. C. Sá. 2002
74 citations recorded by the source corpus.
A general purpose shell element for nonlinear applications including sheet metal forming simulation is developed based on reduced integration with one point quadrature. The developed shell element has five degrees of freedom and four nodes. It covers flexible warping behavior without artificial warping correction. A physical stabilization scheme with the assumed natural strain method is employed to derive a strain field that can be decomposed into the sum of a constant and a linear term with respect to the natural coordinates. The rigid body projection is introduced to treat rigid body rotations effectively. The shell element incorporates elasto-plastic planar anisotropic material models based on the incremental deformation theory. Linear and nonlinear patch tests are performed and the results are compared with analytical or previously reported results. Simulations that include impact and deformable body contact are performed to show the robustness of the contact algorithm. Finally, to demonstrate the capability of handling anisotropic materials, the developed shell element is used for the circular cup drawing process simulation in order to predict the earing profile of Al 2008-T4 alloy sheet.
Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mechanical Engineering
View Paper: https://www.semanticscholar.org/paper/c59a11d466b8a0352eab15d67f4387d50c9be94e
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In Computational Theory and Mathematics
In Control and Systems Engineering
In Mechanical Engineering
- Jeong Whan Yoon
- Rui P. R. Cardoso
- J. Gracio
- Werner Wagner
- Friedrich Gruttmann
- Frederic Barlat
- D. Mohr
Citations in the corpus
- One point quadrature shell element with through-thickness stretch (2005, methodology): “[2] (5 parameter one point quadrature shell element) was extended to 7 parameter one point quadrature shell in order to model through-thickness effects consistently.”
- A linear quadrilateral shell element with fast stiffness computation (2005, methodology): “In this context we also refer to [ 25 ] where an updated Lagrangian approach is used.”
- A new one‐point quadrature enhanced assumed strain (EAS) solid‐shell element with multiple integration points along thickness—part II: nonlinear applications (2006, background): “[50], presented in part I of this work for linear cases is extended to cover nonlinear cases.”