Di Giusto, Thomas B.J. and Lee, Chun Hean and Gil, Antonio J. and Bonet, Javier and Wood, Clare and Giacomini, Matteo (2024) A first-order hyperbolic Arbitrary Lagrangian Eulerian conservation formulation for nonlinear solid dynamics in irreversible processes. Journal of Computational Physics, 518: 113322. ISSN 0021-9991
AI Summary:
The paper introduces a computational framework for nonlinear solid dynamics, incorporating arbitrary Lagrangian-Eulerian (ALE) conservation law formulations. The framework extends its application to consider more general irreversible processes such as thermo-elasticity and thermo-visco-plasticity.AI Topics:
The paper introduces a computational framework that makes use of a novel Arbitrary Lagrangian Eulerian (ALE) conservation law formulation for nonlinear solid dynamics. In addition to the standard mass conservation law and the linear momentum conservation law, the framework extends its application to consider more general irreversible processes such as thermo-elasticity and thermo-visco-plasticity. This requires the incorporation of the first law of thermodynamics, expressed in terms of the entropy density, as an additional conservation law. To disassociate material particles from mesh positions, the framework introduces an additional reference configuration, extending beyond conventional material and spatial descriptions. The determination of the mesh motion involves the solution of a conservation-type momentum equation, ensuring optimal mesh movement and contributing to maintaining a high-quality mesh and improving solution accuracy, particularly in regions undergoing large plastic flows. To maintain equal convergence orders for all variables (strains/stresses, velocities/displacements and temperature/entropy), the standard deformation gradient tensor (measured from material to spatial configuration) is evaluated through a multiplicative decomposition into two auxiliary deformation gradient tensors. Both are obtained through additional first-order conservation laws. The exploitation of the hyperbolic nature of the underlying system, together with accurate wave speed bounds, ensures the stability of explicit time integrators. For spatial discretisation, a vertex-centred Godunov-type Finite Volume method is employed and suitably adapted to the formulation at hand. To guarantee stability from both the continuum and the semi-discretisation standpoints, a carefully designed numerical interface flux is presented. Lyapunov stability analysis is carried out by evaluating the time variation of the Ballistic energy of the system, aiming to ensure the positive production of numerical entropy. Finally, a variety of three dimensional benchmark problems are presented to illustrate the robustness and applicability of the framework.
Di Giusto, Thomas B.J.
Author
Di Giusto, Thomas B.J. and Lee, Chun Hean and Gil, Antonio J. and Bonet, Javier and Wood, Clare and Giacomini, Matteo (2024) A first-order hyperbolic Arbitrary Lagrangian Eulerian conservation formulation for nonlinear solid dynamics in irreversible processes. Journal of Computational Physics, 518: 113322. ISSN 0021-9991
Di Giusto, Thomas B.J. and Lee, Chun Hean and Gil, A.J. and Bonet, Javier and Giacomini, Matteo (2024) A first-order hyperbolic arbitrary Lagrangian Eulerian conservation formulation for non-linear solid dynamics. International Journal for Numerical Methods in Engineering, 125 (15): e7467. ISSN 0029-5981
See full publications listLee, Chun Hean
Author
Di Giusto, Thomas B.J. and Lee, Chun Hean and Gil, Antonio J. and Bonet, Javier and Wood, Clare and Giacomini, Matteo (2024) A first-order hyperbolic Arbitrary Lagrangian Eulerian conservation formulation for nonlinear solid dynamics in irreversible processes. Journal of Computational Physics, 518: 113322. ISSN 0021-9991
Khayyer, Abbas and Lee, Chun Hean (2024) Discussion on “comparative study on volume conservation among various SPH models for flows of different levels of violence, coastal engineering, volume 191, August 2024, 104 521” by Wang et al. Coastal Engineering, 192: 104565. ISSN 0378-3839
Di Giusto, Thomas B.J. and Lee, Chun Hean and Gil, A.J. and Bonet, Javier and Giacomini, Matteo (2024) A first-order hyperbolic arbitrary Lagrangian Eulerian conservation formulation for non-linear solid dynamics. International Journal for Numerical Methods in Engineering, 125 (15): e7467. ISSN 0029-5981
See full publications listGil, Antonio J.
Author
Di Giusto, Thomas B.J. and Lee, Chun Hean and Gil, Antonio J. and Bonet, Javier and Wood, Clare and Giacomini, Matteo (2024) A first-order hyperbolic Arbitrary Lagrangian Eulerian conservation formulation for nonlinear solid dynamics in irreversible processes. Journal of Computational Physics, 518: 113322. ISSN 0021-9991
Lee, Chun Hean and Gil, Antonio J. and Refachinho de Campos, Paulo R. and Bonet, Javier and Jaugielavicius, Tadas and Joshi, Shreyas and Wood, Clare (2024) A novel Arbitrary Lagrangian Eulerian Smooth Particle Hydrodynamics algorithm for nonlinear solid dynamics. Computer Methods in Applied Mechanics and Engineering, 427: 117055. ISSN 0045-7825
Lee, Chun Hean and Refachinho de Campos, Paulo R. and Gil, Antonio J. and Giacomini, Matteo and Bonet, Javier (2023) An entropy-stable updated reference Lagrangian smoothed particle hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity. Computational Particle Mechanics, 10. pp. 1493-1531. ISSN 2196-4378
See full publications listBonet, Javier
Author
Di Giusto, Thomas B.J. and Lee, Chun Hean and Gil, Antonio J. and Bonet, Javier and Wood, Clare and Giacomini, Matteo (2024) A first-order hyperbolic Arbitrary Lagrangian Eulerian conservation formulation for nonlinear solid dynamics in irreversible processes. Journal of Computational Physics, 518: 113322. ISSN 0021-9991
Di Giusto, Thomas B.J. and Lee, Chun Hean and Gil, A.J. and Bonet, Javier and Giacomini, Matteo (2024) A first-order hyperbolic arbitrary Lagrangian Eulerian conservation formulation for non-linear solid dynamics. International Journal for Numerical Methods in Engineering, 125 (15): e7467. ISSN 0029-5981
Lee, Chun Hean and Gil, Antonio J. and Refachinho de Campos, Paulo R. and Bonet, Javier and Jaugielavicius, Tadas and Joshi, Shreyas and Wood, Clare (2024) A novel Arbitrary Lagrangian Eulerian Smooth Particle Hydrodynamics algorithm for nonlinear solid dynamics. Computer Methods in Applied Mechanics and Engineering, 427: 117055. ISSN 0045-7825
See full publications listWood, Clare
Author
Di Giusto, Thomas B.J. and Lee, Chun Hean and Gil, Antonio J. and Bonet, Javier and Wood, Clare and Giacomini, Matteo (2024) A first-order hyperbolic Arbitrary Lagrangian Eulerian conservation formulation for nonlinear solid dynamics in irreversible processes. Journal of Computational Physics, 518: 113322. ISSN 0021-9991
Lee, Chun Hean and Gil, Antonio J. and Refachinho de Campos, Paulo R. and Bonet, Javier and Jaugielavicius, Tadas and Joshi, Shreyas and Wood, Clare (2024) A novel Arbitrary Lagrangian Eulerian Smooth Particle Hydrodynamics algorithm for nonlinear solid dynamics. Computer Methods in Applied Mechanics and Engineering, 427: 117055. ISSN 0045-7825
See full publications listGiacomini, Matteo
Author
Di Giusto, Thomas B.J. and Lee, Chun Hean and Gil, Antonio J. and Bonet, Javier and Wood, Clare and Giacomini, Matteo (2024) A first-order hyperbolic Arbitrary Lagrangian Eulerian conservation formulation for nonlinear solid dynamics in irreversible processes. Journal of Computational Physics, 518: 113322. ISSN 0021-9991
Di Giusto, Thomas B.J. and Lee, Chun Hean and Gil, A.J. and Bonet, Javier and Giacomini, Matteo (2024) A first-order hyperbolic arbitrary Lagrangian Eulerian conservation formulation for non-linear solid dynamics. International Journal for Numerical Methods in Engineering, 125 (15): e7467. ISSN 0029-5981
Lee, Chun Hean and Refachinho de Campos, Paulo R. and Gil, Antonio J. and Giacomini, Matteo and Bonet, Javier (2023) An entropy-stable updated reference Lagrangian smoothed particle hydrodynamics algorithm for thermo-elasticity and thermo-visco-plasticity. Computational Particle Mechanics, 10. pp. 1493-1531. ISSN 2196-4378
See full publications listAvailable under License Creative Commons Attribution.
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