Smoothed finite element methods for nonlinear solid mechanics problems: 2D and 3D case studies. Staat, M. & Dương, M. T. In Proceedings of the National Science and Technology Conference on Mechanical - Transportation Engineering (NSCMET 2016), pages 440–445, Hanoi, Vietnam, 2016. Hanoi University of Science and Technology. ZSCC: NoCitationData[s0]doi abstract bibtex The Smoothed Finite Element Method (SFEM) is presented as an edge-based and a facebased techniques for 2D and 3D boundary value problems, respectively. SFEMs avoid shortcomings of the standard Finite Element Method (FEM) with lower order elements such as overly stiff behavior, poor stress solution, and locking effects. Based on the idea of averaging spatially the standard strain field of the FEM over so-called smoothing domains SFEM calculates the stiffness matrix for the same number of degrees of freedom (DOFs) as those of the FEM. However, the SFEMs significantly improve accuracy and convergence even for distorted meshes and/or nearly incompressible materials. Numerical results of the SFEMs for a cardiac tissue membrane (thin plate inflation) and an artery (tension of 3D tube) show clearly their advantageous properties in improving accuracy particularly for the distorted meshes and avoiding shear locking effects.
@inproceedings{staat_smoothed_2016,
address = {Hanoi, Vietnam},
title = {Smoothed finite element methods for nonlinear solid mechanics problems: {2D} and {3D} case studies},
copyright = {All rights reserved},
doi = {10.21269/7859},
abstract = {The Smoothed Finite Element Method (SFEM) is presented as an edge-based and a facebased techniques for 2D and 3D boundary value problems, respectively. SFEMs avoid shortcomings of the standard Finite Element Method (FEM) with lower order elements such as overly stiff behavior, poor stress solution, and locking effects. Based on the idea of averaging spatially the standard strain field of the FEM over so-called smoothing domains SFEM calculates the stiffness matrix for the same number of degrees of freedom (DOFs) as those of the FEM. However, the SFEMs significantly improve accuracy and convergence even for distorted meshes and/or nearly incompressible materials. Numerical results of the SFEMs for a cardiac tissue membrane (thin plate inflation) and an artery (tension of 3D tube) show clearly their advantageous properties in improving accuracy particularly for the distorted meshes and avoiding shear locking effects.},
booktitle = {Proceedings of the {National} {Science} and {Technology} {Conference} on {Mechanical} - {Transportation} {Engineering} ({NSCMET} 2016)},
publisher = {Hanoi University of Science and Technology},
author = {Staat, Manfred and Dương, Minh Tuấn},
year = {2016},
note = {ZSCC: NoCitationData[s0]},
pages = {440--445},
}
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