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A New Updated Reference Lagrangian Smooth Particle Hydrodynamics Framework for Large Strain Solid Dynamics and its Extension to Dynamic Fracture / Paulo Refachinho De Campos

Swansea University Author: Paulo Refachinho De Campos

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DOI (Published version): 10.23889/SUthesis.62470.oa

Abstract

This work presents a new updated reference Lagrangian Smooth Particle Hydro-dynamics algorithm for the analysis of large deformation by introducing a novel system of first order conservation laws. Both isothermal and thermally-coupled sce-narios are considered within the elasticity and elasto-plastic...

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Published: Swansea 2023
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
Supervisor: Gil, Antonio J. ; Lee, Chun H. ; Huerta, Antonio ; Giacomini, Matteo
URI: https://cronfa.swan.ac.uk/Record/cronfa62470
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Taking as point of departure a total Lagrangian setting and considering as referential con&#xFB01;g-uration an intermediate con&#xFB01;guration of the deformation process, the equation of conservation of linear momentum and three geometric conservation laws (for the de-formation gradient, its cofactor and its determinant) are rewritten leading to a very generic (incremental) system of &#xFB01;rst order conservation laws, which can be degen-erated into a total Lagrangian system or into a purely updated Lagrangian system. The key feature of the formulation is a suitable multiplicative decomposition of the conservation variables, leading to a very simple &#xFB01;nal set of equations with striking similarities to the conventional total Lagrangian system albeit rewritten in terms of incremental updated conservation variables which are evolved in time. Taking advantage of this new updated reference Lagrangian formalism, a second order (in space and time) entropy-stable upwiding stabilisation method derived by means of the use of the Rankine Hugoniot jump conditions is introduced. No ad-hoc algo-rithmic regularisation procedures are needed. To demonstrate the robustness and applicability of the methodology, a wide spectrum of challenging problems are pre-sented and compared, including benchmarks in hyperelasticity, elasto-plasticity and dynamic fracture problems. A new dynamic fracture approach is proposed in this work. The spark for fracture is based on the maximum principal stresses. Once fracture takes place, the particle is split into two new particles and post-fracture velocities and deformation gradients are computed locally, ensuring conservation of mass, linear momentum and total energy. 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spelling 2023-02-06T11:22:34.0576121 v2 62470 2023-01-30 A New Updated Reference Lagrangian Smooth Particle Hydrodynamics Framework for Large Strain Solid Dynamics and its Extension to Dynamic Fracture cecc02ef54af32640274d537577a103e Paulo Refachinho De Campos Paulo Refachinho De Campos true false 2023-01-30 CIVL This work presents a new updated reference Lagrangian Smooth Particle Hydro-dynamics algorithm for the analysis of large deformation by introducing a novel system of first order conservation laws. Both isothermal and thermally-coupled sce-narios are considered within the elasticity and elasto-plasticity domains. Taking as point of departure a total Lagrangian setting and considering as referential config-uration an intermediate configuration of the deformation process, the equation of conservation of linear momentum and three geometric conservation laws (for the de-formation gradient, its cofactor and its determinant) are rewritten leading to a very generic (incremental) system of first order conservation laws, which can be degen-erated into a total Lagrangian system or into a purely updated Lagrangian system. The key feature of the formulation is a suitable multiplicative decomposition of the conservation variables, leading to a very simple final set of equations with striking similarities to the conventional total Lagrangian system albeit rewritten in terms of incremental updated conservation variables which are evolved in time. Taking advantage of this new updated reference Lagrangian formalism, a second order (in space and time) entropy-stable upwiding stabilisation method derived by means of the use of the Rankine Hugoniot jump conditions is introduced. No ad-hoc algo-rithmic regularisation procedures are needed. To demonstrate the robustness and applicability of the methodology, a wide spectrum of challenging problems are pre-sented and compared, including benchmarks in hyperelasticity, elasto-plasticity and dynamic fracture problems. A new dynamic fracture approach is proposed in this work. The spark for fracture is based on the maximum principal stresses. Once fracture takes place, the particle is split into two new particles and post-fracture velocities and deformation gradients are computed locally, ensuring conservation of mass, linear momentum and total energy. The work explores the use of a series of novel expressions for the evaluation of kernels and the gradients of kernels, all lead-ing to equally robust results and circumventing the issues faced by classic isotropic (spherical) kernels in the presence of strong anisotropic changes in volume. E-Thesis Swansea Smooth Particle Hydrodynamics, SPH, Meshless, Updated reference Lagrangian, Conservation laws, Fast dynamics, Dynamic fracture 24 1 2023 2023-01-24 10.23889/SUthesis.62470.oa ORCiD identifier: https://orcid.org/0000-0002-1285-3444 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University Gil, Antonio J. ; Lee, Chun H. ; Huerta, Antonio ; Giacomini, Matteo Doctoral Ph.D Marie Sklodowska-Curie ITN-EJD ProTechTion, European Union Horizon 2020 2023-02-06T11:22:34.0576121 2023-01-30T09:39:24.4762904 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering Paulo Refachinho De Campos 1 62470__26436__fd4fdc560dc3454c855c007dff4dbf7a.pdf Refachinho_de_Campos_Paulo_R_Thesis_Final_Redacted_Signature.pdf 2023-01-30T14:11:04.9689922 Output 113156422 application/pdf E-Thesis – open access true Copyright: The author, Paulo R. Refachinho de Campos, 2023. Released under the terms of a Creative Commons Attribution-Only (CC-BY) License. Third party content is excluded for use under the license terms. true eng https://creativecommons.org/licenses/by/4.0/
title A New Updated Reference Lagrangian Smooth Particle Hydrodynamics Framework for Large Strain Solid Dynamics and its Extension to Dynamic Fracture
spellingShingle A New Updated Reference Lagrangian Smooth Particle Hydrodynamics Framework for Large Strain Solid Dynamics and its Extension to Dynamic Fracture
Paulo Refachinho De Campos
title_short A New Updated Reference Lagrangian Smooth Particle Hydrodynamics Framework for Large Strain Solid Dynamics and its Extension to Dynamic Fracture
title_full A New Updated Reference Lagrangian Smooth Particle Hydrodynamics Framework for Large Strain Solid Dynamics and its Extension to Dynamic Fracture
title_fullStr A New Updated Reference Lagrangian Smooth Particle Hydrodynamics Framework for Large Strain Solid Dynamics and its Extension to Dynamic Fracture
title_full_unstemmed A New Updated Reference Lagrangian Smooth Particle Hydrodynamics Framework for Large Strain Solid Dynamics and its Extension to Dynamic Fracture
title_sort A New Updated Reference Lagrangian Smooth Particle Hydrodynamics Framework for Large Strain Solid Dynamics and its Extension to Dynamic Fracture
author_id_str_mv cecc02ef54af32640274d537577a103e
author_id_fullname_str_mv cecc02ef54af32640274d537577a103e_***_Paulo Refachinho De Campos
author Paulo Refachinho De Campos
author2 Paulo Refachinho De Campos
format E-Thesis
publishDate 2023
institution Swansea University
doi_str_mv 10.23889/SUthesis.62470.oa
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering
document_store_str 1
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description This work presents a new updated reference Lagrangian Smooth Particle Hydro-dynamics algorithm for the analysis of large deformation by introducing a novel system of first order conservation laws. Both isothermal and thermally-coupled sce-narios are considered within the elasticity and elasto-plasticity domains. Taking as point of departure a total Lagrangian setting and considering as referential config-uration an intermediate configuration of the deformation process, the equation of conservation of linear momentum and three geometric conservation laws (for the de-formation gradient, its cofactor and its determinant) are rewritten leading to a very generic (incremental) system of first order conservation laws, which can be degen-erated into a total Lagrangian system or into a purely updated Lagrangian system. The key feature of the formulation is a suitable multiplicative decomposition of the conservation variables, leading to a very simple final set of equations with striking similarities to the conventional total Lagrangian system albeit rewritten in terms of incremental updated conservation variables which are evolved in time. Taking advantage of this new updated reference Lagrangian formalism, a second order (in space and time) entropy-stable upwiding stabilisation method derived by means of the use of the Rankine Hugoniot jump conditions is introduced. No ad-hoc algo-rithmic regularisation procedures are needed. To demonstrate the robustness and applicability of the methodology, a wide spectrum of challenging problems are pre-sented and compared, including benchmarks in hyperelasticity, elasto-plasticity and dynamic fracture problems. A new dynamic fracture approach is proposed in this work. The spark for fracture is based on the maximum principal stresses. Once fracture takes place, the particle is split into two new particles and post-fracture velocities and deformation gradients are computed locally, ensuring conservation of mass, linear momentum and total energy. The work explores the use of a series of novel expressions for the evaluation of kernels and the gradients of kernels, all lead-ing to equally robust results and circumventing the issues faced by classic isotropic (spherical) kernels in the presence of strong anisotropic changes in volume.
published_date 2023-01-24T04:22:06Z
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score 11.013148

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