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Scaled boundary finite element method for compressible and nearly incompressible elasticity over arbitrary polytopes |
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| Authors: | Lakshmi Narasimha Pramod Aladurthi Sundararajan Natarajan Ean Tat Ooi Chongmin Song |
| Affiliation: | 1. Integrated Modelling and Simulation Lab, Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai, India;2. School of Science, Engineering & Information Technology, Federation University, Ballarat, Australia;3. School of Civil and Environmental Engineering, University of New South Wales, Sydney, Australia |
| Abstract: | In this paper, a purely displacement-based formulation is presented within the framework of the scaled boundary finite element method to model compressible and nearly incompressible materials. A selective reduced integration technique combined with an analytical treatment in the nearly incompressible limit is employed to alleviate volumetric locking. The stiffness matrix is computed by solving the scaled boundary finite element equation. The salient feature of the proposed technique is that it neither requires a stabilization parameter nor adds additional degrees of freedom to handle volumetric locking. The efficiency and the robustness of the proposed approach is demonstrated by solving various numerical examples in two and three dimensions. |
| Keywords: | nearly incompressible materials scaled boundary finite element method selective reduced integration Taylor series expansion |