Journal article 126 views 11 downloads
An enhanced Total Lagrangian SPH for non-linear and finite strain elastic structural dynamics
Computational Mechanics
Swansea University Author:
Antonio Gil
-
PDF | Accepted Manuscript
Author accepted manuscript document released under the terms of a Creative Commons CC-BY licence using the Swansea University Research Publications Policy (rights retention).
Download (20.09MB)
DOI (Published version): 10.1007/s00466-024-02592-z
Abstract
The paper presents a variationally consistent Total Lagrangian SPH (TLSPH) model for non-linear and finite strain elastic structural dynamics. To enhance the approximation of stresses (dynamics) and thus accelerations (kinematics), the deformation gradient computation is enhanced to ensure second-or...
Published in: | Computational Mechanics |
---|---|
Published: |
2025
|
URI: | https://cronfa.swan.ac.uk/Record/cronfa68680 |
first_indexed |
2025-01-13T20:35:09Z |
---|---|
last_indexed |
2025-03-04T05:37:40Z |
id |
cronfa68680 |
recordtype |
SURis |
fullrecord |
<?xml version="1.0" encoding="utf-8"?><rfc1807 xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xsd="http://www.w3.org/2001/XMLSchema"><bib-version>v2</bib-version><id>68680</id><entry>2025-01-13</entry><title>An enhanced Total Lagrangian SPH for non-linear and finite strain elastic structural dynamics</title><swanseaauthors><author><sid>1f5666865d1c6de9469f8b7d0d6d30e2</sid><ORCID>0000-0001-7753-1414</ORCID><firstname>Antonio</firstname><surname>Gil</surname><name>Antonio Gil</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2025-01-13</date><deptcode>ACEM</deptcode><abstract>The paper presents a variationally consistent Total Lagrangian SPH (TLSPH) model for non-linear and finite strain elastic structural dynamics. To enhance the approximation of stresses (dynamics) and thus accelerations (kinematics), the deformation gradient computation is enhanced to ensure second-order completeness and accordingly the discretized momentum equation is also reformulated so that the accelerations are consistently obtained with respect to the targeted second-order completeness. In addition, a novel Riemann stabilization term is proposed with respect to the rank deficiency of TLSPH particularly for challenging structural dynamics problems including fast dynamics and kinematical discontinuities. The new Riemann term is second-order accurate in space and includes a limiter for effective stabilization. This stabilization term is derived from the material acoustic tensor of the solid model employed, carefully accounting for both volumetric (compression) and shear wave contributions. The proposed TLSPH including the C2nd (2nd-order Completeness) and cR (complete Riemann term including volumetric and shear wave contributions) schemes is verified by considering six classical benchmark tests.</abstract><type>Journal Article</type><journal>Computational Mechanics</journal><volume/><journalNumber/><paginationStart/><paginationEnd/><publisher/><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint/><issnElectronic/><keywords>Total Lagrangian; SPH; Finite strain structural dynamics; Completeness; Complete Riemann term</keywords><publishedDay>3</publishedDay><publishedMonth>3</publishedMonth><publishedYear>2025</publishedYear><publishedDate>2025-03-03</publishedDate><doi>10.1007/s00466-024-02592-z</doi><url/><notes/><college>COLLEGE NANME</college><department>Aerospace, Civil, Electrical, and Mechanical Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>ACEM</DepartmentCode><institution>Swansea University</institution><apcterm/><funders>This study is supported by JSPS (Japan Society for the Promotion of Science) Grant No. 24K07680. The first author appreciates the JST (Japan Science and Technology Agency) SPRING Grant No. JPMJSP2110.</funders><projectreference/><lastEdited>2025-04-02T10:05:10.9618402</lastEdited><Created>2025-01-13T12:41:59.0525791</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering</level></path><authors><author><firstname>Takafumi</firstname><surname>Gotoh</surname><order>1</order></author><author><firstname>Daiki</firstname><surname>Sakoda</surname><order>2</order></author><author><firstname>Abbas</firstname><surname>Khayyer</surname><order>3</order></author><author><firstname>Chun Hean</firstname><surname>Lee</surname><order>4</order></author><author><firstname>Antonio</firstname><surname>Gil</surname><orcid>0000-0001-7753-1414</orcid><order>5</order></author><author><firstname>Hitoshi</firstname><surname>Gotoh</surname><order>6</order></author><author><firstname>Javier</firstname><surname>Bonet</surname><order>7</order></author></authors><documents><document><filename>68680__33291__2c81dcc789774a5ca038d0ad1865ecd4.pdf</filename><originalFilename>68680.pdf</originalFilename><uploaded>2025-01-13T12:47:22.5043941</uploaded><type>Output</type><contentLength>21061160</contentLength><contentType>application/pdf</contentType><version>Accepted Manuscript</version><cronfaStatus>true</cronfaStatus><documentNotes>Author accepted manuscript document released under the terms of a Creative Commons CC-BY licence using the Swansea University Research Publications Policy (rights retention).</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language><licence>https://creativecommons.org/licenses/by/4.0/deed.en</licence></document></documents><OutputDurs/></rfc1807> |
spelling |
v2 68680 2025-01-13 An enhanced Total Lagrangian SPH for non-linear and finite strain elastic structural dynamics 1f5666865d1c6de9469f8b7d0d6d30e2 0000-0001-7753-1414 Antonio Gil Antonio Gil true false 2025-01-13 ACEM The paper presents a variationally consistent Total Lagrangian SPH (TLSPH) model for non-linear and finite strain elastic structural dynamics. To enhance the approximation of stresses (dynamics) and thus accelerations (kinematics), the deformation gradient computation is enhanced to ensure second-order completeness and accordingly the discretized momentum equation is also reformulated so that the accelerations are consistently obtained with respect to the targeted second-order completeness. In addition, a novel Riemann stabilization term is proposed with respect to the rank deficiency of TLSPH particularly for challenging structural dynamics problems including fast dynamics and kinematical discontinuities. The new Riemann term is second-order accurate in space and includes a limiter for effective stabilization. This stabilization term is derived from the material acoustic tensor of the solid model employed, carefully accounting for both volumetric (compression) and shear wave contributions. The proposed TLSPH including the C2nd (2nd-order Completeness) and cR (complete Riemann term including volumetric and shear wave contributions) schemes is verified by considering six classical benchmark tests. Journal Article Computational Mechanics Total Lagrangian; SPH; Finite strain structural dynamics; Completeness; Complete Riemann term 3 3 2025 2025-03-03 10.1007/s00466-024-02592-z COLLEGE NANME Aerospace, Civil, Electrical, and Mechanical Engineering COLLEGE CODE ACEM Swansea University This study is supported by JSPS (Japan Society for the Promotion of Science) Grant No. 24K07680. The first author appreciates the JST (Japan Science and Technology Agency) SPRING Grant No. JPMJSP2110. 2025-04-02T10:05:10.9618402 2025-01-13T12:41:59.0525791 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering Takafumi Gotoh 1 Daiki Sakoda 2 Abbas Khayyer 3 Chun Hean Lee 4 Antonio Gil 0000-0001-7753-1414 5 Hitoshi Gotoh 6 Javier Bonet 7 68680__33291__2c81dcc789774a5ca038d0ad1865ecd4.pdf 68680.pdf 2025-01-13T12:47:22.5043941 Output 21061160 application/pdf Accepted Manuscript true Author accepted manuscript document released under the terms of a Creative Commons CC-BY licence using the Swansea University Research Publications Policy (rights retention). true eng https://creativecommons.org/licenses/by/4.0/deed.en |
title |
An enhanced Total Lagrangian SPH for non-linear and finite strain elastic structural dynamics |
spellingShingle |
An enhanced Total Lagrangian SPH for non-linear and finite strain elastic structural dynamics Antonio Gil |
title_short |
An enhanced Total Lagrangian SPH for non-linear and finite strain elastic structural dynamics |
title_full |
An enhanced Total Lagrangian SPH for non-linear and finite strain elastic structural dynamics |
title_fullStr |
An enhanced Total Lagrangian SPH for non-linear and finite strain elastic structural dynamics |
title_full_unstemmed |
An enhanced Total Lagrangian SPH for non-linear and finite strain elastic structural dynamics |
title_sort |
An enhanced Total Lagrangian SPH for non-linear and finite strain elastic structural dynamics |
author_id_str_mv |
1f5666865d1c6de9469f8b7d0d6d30e2 |
author_id_fullname_str_mv |
1f5666865d1c6de9469f8b7d0d6d30e2_***_Antonio Gil |
author |
Antonio Gil |
author2 |
Takafumi Gotoh Daiki Sakoda Abbas Khayyer Chun Hean Lee Antonio Gil Hitoshi Gotoh Javier Bonet |
format |
Journal article |
container_title |
Computational Mechanics |
publishDate |
2025 |
institution |
Swansea University |
doi_str_mv |
10.1007/s00466-024-02592-z |
college_str |
Faculty of Science and Engineering |
hierarchytype |
|
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 |
active_str |
0 |
description |
The paper presents a variationally consistent Total Lagrangian SPH (TLSPH) model for non-linear and finite strain elastic structural dynamics. To enhance the approximation of stresses (dynamics) and thus accelerations (kinematics), the deformation gradient computation is enhanced to ensure second-order completeness and accordingly the discretized momentum equation is also reformulated so that the accelerations are consistently obtained with respect to the targeted second-order completeness. In addition, a novel Riemann stabilization term is proposed with respect to the rank deficiency of TLSPH particularly for challenging structural dynamics problems including fast dynamics and kinematical discontinuities. The new Riemann term is second-order accurate in space and includes a limiter for effective stabilization. This stabilization term is derived from the material acoustic tensor of the solid model employed, carefully accounting for both volumetric (compression) and shear wave contributions. The proposed TLSPH including the C2nd (2nd-order Completeness) and cR (complete Riemann term including volumetric and shear wave contributions) schemes is verified by considering six classical benchmark tests. |
published_date |
2025-03-03T10:05:12Z |
_version_ |
1828281083709358080 |
score |
10.651516 |