Fast quasi-implicit NOSB peridynamic simulation based on FIRE algorithm

The peridynamics is a particle methods considered superior to the finite element method in describing fracture phenomena since fracture can be simply expressed as bond breaking between the peridynamics particles. The Non-Ordinary State-Based (NOSB) peridynamics is a variant of the particle method wh...

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Autores principales:	Yoshinori SHIIHARA, Shoki TANAKA, Nobuhiro YOSHIKAWA
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2019
Materias:	peridynamics quasi-implicit algorithm elasto-plasticity finite element method continuum mechanics Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/43e70c1e717447d78c6b34d795a45299
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spelling	oai:doaj.org-article:43e70c1e717447d78c6b34d795a452992021-11-29T05:43:34ZFast quasi-implicit NOSB peridynamic simulation based on FIRE algorithm2187-974510.1299/mej.18-00363https://doaj.org/article/43e70c1e717447d78c6b34d795a452992019-04-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/6/3/6_18-00363/_pdf/-char/enhttps://doaj.org/toc/2187-9745The peridynamics is a particle methods considered superior to the finite element method in describing fracture phenomena since fracture can be simply expressed as bond breaking between the peridynamics particles. The Non-Ordinary State-Based (NOSB) peridynamics is a variant of the particle method which allows us to implement constitutive laws as in the finite element method. To maintain its computational accuracy, parameters used in the peridynamic simulations needs to be optimized through parameter searches, hence the peridynamics requires a fast quasi-implicit algorithm which allows to directly compare the results to the one obtained by the finite element method. The FIRE algorithm is such an algorithm well examined through molecular dynamics studies and is easy to implement existing explicit algorithms. The objective of this study is to describe the details of the implementation of the FIRE method to the peridynamic elastic and elasto-plastic computational codes and the effectiveness through the comparison with another quasi-static algorithm, the energy based relaxation method. The computational results show the effectiveness of the algorithm and some examples of the parameter search in simple problems such as elastic and elasto-plastic deformation analyses and a stress analysis near a crack.Yoshinori SHIIHARAShoki TANAKANobuhiro YOSHIKAWAThe Japan Society of Mechanical Engineersarticleperidynamicsquasi-implicit algorithmelasto-plasticityfinite element methodcontinuum mechanicsMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 6, Iss 3, Pp 18-00363-18-00363 (2019)
institution	DOAJ
collection	DOAJ
language	EN
topic	peridynamics quasi-implicit algorithm elasto-plasticity finite element method continuum mechanics Mechanical engineering and machinery TJ1-1570
spellingShingle	peridynamics quasi-implicit algorithm elasto-plasticity finite element method continuum mechanics Mechanical engineering and machinery TJ1-1570 Yoshinori SHIIHARA Shoki TANAKA Nobuhiro YOSHIKAWA Fast quasi-implicit NOSB peridynamic simulation based on FIRE algorithm
description	The peridynamics is a particle methods considered superior to the finite element method in describing fracture phenomena since fracture can be simply expressed as bond breaking between the peridynamics particles. The Non-Ordinary State-Based (NOSB) peridynamics is a variant of the particle method which allows us to implement constitutive laws as in the finite element method. To maintain its computational accuracy, parameters used in the peridynamic simulations needs to be optimized through parameter searches, hence the peridynamics requires a fast quasi-implicit algorithm which allows to directly compare the results to the one obtained by the finite element method. The FIRE algorithm is such an algorithm well examined through molecular dynamics studies and is easy to implement existing explicit algorithms. The objective of this study is to describe the details of the implementation of the FIRE method to the peridynamic elastic and elasto-plastic computational codes and the effectiveness through the comparison with another quasi-static algorithm, the energy based relaxation method. The computational results show the effectiveness of the algorithm and some examples of the parameter search in simple problems such as elastic and elasto-plastic deformation analyses and a stress analysis near a crack.
format	article
author	Yoshinori SHIIHARA Shoki TANAKA Nobuhiro YOSHIKAWA
author_facet	Yoshinori SHIIHARA Shoki TANAKA Nobuhiro YOSHIKAWA
author_sort	Yoshinori SHIIHARA
title	Fast quasi-implicit NOSB peridynamic simulation based on FIRE algorithm
title_short	Fast quasi-implicit NOSB peridynamic simulation based on FIRE algorithm
title_full	Fast quasi-implicit NOSB peridynamic simulation based on FIRE algorithm
title_fullStr	Fast quasi-implicit NOSB peridynamic simulation based on FIRE algorithm
title_full_unstemmed	Fast quasi-implicit NOSB peridynamic simulation based on FIRE algorithm
title_sort	fast quasi-implicit nosb peridynamic simulation based on fire algorithm
publisher	The Japan Society of Mechanical Engineers
publishDate	2019
url	https://doaj.org/article/43e70c1e717447d78c6b34d795a45299
work_keys_str_mv	AT yoshinorishiihara fastquasiimplicitnosbperidynamicsimulationbasedonfirealgorithm AT shokitanaka fastquasiimplicitnosbperidynamicsimulationbasedonfirealgorithm AT nobuhiroyoshikawa fastquasiimplicitnosbperidynamicsimulationbasedonfirealgorithm
_version_	1718407639680942080

Fast quasi-implicit NOSB peridynamic simulation based on FIRE algorithm

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