Wiragunarsa, I.M. and Zuhal, L.R. and Dirgantara, T. and Putra, I.S. and Febrianto, E. (2024) Total Lagrangian smoothed particle hydrodynamics with an improved bond-based deformation gradient for large strain solid dynamics. Journal of Computational Physics, 518: 113309. ISSN 0021-9991
AI Summary:
The paper proposes an alternative formulation to compute deformation gradient with improved accuracy, aiming to minimize the possibility of encountering the zero-energy mode.AI Topics:
Total Lagrangian Smoothed Particle Hydrodynamics (TLSPH) is one variant of SPH where the variables are described using the fixed reference configuration and a Lagrangian smoothing kernel. TLSPH elevates the computational efficiency of the standard SPH when no topological change is involved, and it alleviates the stability of SPH scheme with respect to tensile loading. However, instabilities associated with spurious mode, or hourglass/zero-energy mode, persists and often affects the simulation of solids undergoing extremely large strain. This work proposes an alternative formulation to compute deformation gradient with improved accuracy and therefore minimising the possibility of encountering the zero-energy mode. Specifically, we leverage the local discrete computation of bond-based (or pairwise) deformation gradient smoothed by the kernel. Additionally, the bond of a particle with itself is considered to preserve the polynomial reproducibility imposed by the kernel correction scheme. We showcase the convergence of the approach using a two-dimensional benchmark example. Furthermore, the accuracy, robustness, and stability of the proposed approach are assessed in various two- and three-dimensional examples, highlighting on the stability improvement that allows for solid dynamic simulations with more extreme elongation.
Wiragunarsa, I.M.
Author
Wiragunarsa, I.M. and Zuhal, L.R. and Dirgantara, T. and Putra, I.S. and Febrianto, E. (2024) Total Lagrangian smoothed particle hydrodynamics with an improved bond-based deformation gradient for large strain solid dynamics. Journal of Computational Physics, 518: 113309. ISSN 0021-9991
See full publications listZuhal, L.R.
Author
Wiragunarsa, I.M. and Zuhal, L.R. and Dirgantara, T. and Putra, I.S. and Febrianto, E. (2024) Total Lagrangian smoothed particle hydrodynamics with an improved bond-based deformation gradient for large strain solid dynamics. Journal of Computational Physics, 518: 113309. ISSN 0021-9991
See full publications listDirgantara, T.
Author
Wiragunarsa, I.M. and Zuhal, L.R. and Dirgantara, T. and Putra, I.S. and Febrianto, E. (2024) Total Lagrangian smoothed particle hydrodynamics with an improved bond-based deformation gradient for large strain solid dynamics. Journal of Computational Physics, 518: 113309. ISSN 0021-9991
See full publications listPutra, I.S.
Author
Wiragunarsa, I.M. and Zuhal, L.R. and Dirgantara, T. and Putra, I.S. and Febrianto, E. (2024) Total Lagrangian smoothed particle hydrodynamics with an improved bond-based deformation gradient for large strain solid dynamics. Journal of Computational Physics, 518: 113309. ISSN 0021-9991
See full publications listFebrianto, Eky
Author
Wiragunarsa, I.M. and Zuhal, L.R. and Dirgantara, T. and Putra, I.S. and Febrianto, E. (2024) Total Lagrangian smoothed particle hydrodynamics with an improved bond-based deformation gradient for large strain solid dynamics. Journal of Computational Physics, 518: 113309. ISSN 0021-9991
Alfarisy, Dewangga and Zuhal, Lavi and Ortiz, Michael and Cirak, Fehmi and Febrianto, Eky (2024) Point collocation with mollified piecewise polynomial approximants for high-order partial differential equations. International Journal for Numerical Methods in Engineering, 125 (18): e7548. ISSN 0029-5981
Febrianto, Eky and Šístek, Jakub and Kůs, Pavel and Kecman, Matija and Cirak, Fehmi (2024) A three-grid high-order immersed finite element method for the analysis of CAD models. Computer-Aided Design, 173: 103730. ISSN 0010-4485
See full publications listRestricted to Repository staff only until 30 July 2025.
Available under License Creative Commons Attribution Non-commercial No Derivatives.
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