期刊
COMPUTATIONAL MECHANICS
卷 67, 期 3, 页码 883-914出版社
SPRINGER
DOI: 10.1007/s00466-020-01969-0
关键词
Finite element method; Mixed finite elements; Nearly incompressible; Anisotropic materials; Plate structures; Shell structures; Beam structures
资金
- Ministry of Science, Innovation and Universities (MCIU) via: the ADaMANT project (Computational Framework for Additive Manufacturing of Titanium Alloy, Proyectos de I+D -Excelencia-) [DPI2017-85998-P]
- SEVERUS project (Multilevel evaluation of seismic vulnerability and risk mitigation of masonry buildings in resilient historical urban centres) [RTI2018-099589-B-I00]
- Severo Ochoa Programme for Centres of Excellence in RD [CEX2018-000797-S]
- Agencia de Gestio d'Ajuts Universitaris i de Recerca (AGAUR)
- European Social Fund (ESF) [2019FI_B00727]
This paper investigates the capacity of solid finite elements with independent interpolations for displacements and strains to address shear, membrane, and volumetric locking in the analysis of beam, plate, and shell structures. The proposed strain/displacement formulation shows enhanced accuracy in predicting stresses and displacements, as well as producing locking-free discrete solutions that converge asymptotically to the corresponding continuous problems. The study also considers the effect of discretization and material characteristics, including different solid element typologies, shapes, and isotropic, orthotropic, and layered materials.
This paper investigates the capacity of solid finite elements with independent interpolations for displacements and strains to address shear, membrane and volumetric locking in the analysis of beam, plate and shell structures. The performance of the proposed strain/displacement formulation is compared to the standard one through a set of eleven benchmark problems. In addition to the relative performance of both finite element formulations, the paper studies the effect of discretization and material characteristics. The first refers to different solid element typologies (hexahedra, prisms) and shapes (regular, skewed, warped configurations). The second refers to isotropic, orthotropic and layered materials, and nearly incompressible states. For the analysis of nearly incompressible cases, the B-bar method is employed in both standard and strain/displacement formulations. Numerical results show the enhanced accuracy of the proposed strain/displacement formulation in predicting stresses and displacements, as well as producing locking-free discrete solutions, which converge asymptotically to the corresponding continuous problems.
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