Variable-order fracture mechanics and its application to dynamic fracture

Variable-order fracture mechanics and its application to dynamic fracture

Abstract This study presents the formulation, the numerical solution, and the validation of a theoretical framework based on the concept of variable-order mechanics and capable of modeling dynamic fracture in brittle and quasi-brittle solids. More specifically, the reformulation of the elastodynamic...

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Autores principales: Sansit Patnaik, Fabio Semperlotti
Formato: article
Lenguaje:EN
Publicado: Nature Portfolio 2021
Materias:
Materials of engineering and construction. Mechanics of materials
TA401-492
Computer software
QA76.75-76.765
Acceso en línea:https://doaj.org/article/d27318f2301b4474980d1ed8e9ff1e30
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spelling oai:doaj.org-article:d27318f2301b4474980d1ed8e9ff1e302021-12-02T14:06:23ZVariable-order fracture mechanics and its application to dynamic fracture10.1038/s41524-021-00492-x2057-3960https://doaj.org/article/d27318f2301b4474980d1ed8e9ff1e302021-02-01T00:00:00Zhttps://doi.org/10.1038/s41524-021-00492-xhttps://doaj.org/toc/2057-3960Abstract This study presents the formulation, the numerical solution, and the validation of a theoretical framework based on the concept of variable-order mechanics and capable of modeling dynamic fracture in brittle and quasi-brittle solids. More specifically, the reformulation of the elastodynamic problem via variable and fractional-order operators enables a unique and extremely powerful approach to model nucleation and propagation of cracks in solids under dynamic loading. The resulting dynamic fracture formulation is fully evolutionary, hence enabling the analysis of complex crack patterns without requiring any a priori assumption on the damage location and the growth path, and without using any algorithm to numerically track the evolving crack surface. The evolutionary nature of the variable-order formalism also prevents the need for additional partial differential equations to predict the evolution of the damage field, hence suggesting a conspicuous reduction in complexity and computational cost. Remarkably, the variable-order formulation is naturally capable of capturing extremely detailed features characteristic of dynamic crack propagation such as crack surface roughening as well as single and multiple branching. The accuracy and robustness of the proposed variable-order formulation are validated by comparing the results of direct numerical simulations with experimental data of typical benchmark problems available in the literature.Sansit PatnaikFabio SemperlottiNature PortfolioarticleMaterials of engineering and construction. Mechanics of materialsTA401-492Computer softwareQA76.75-76.765ENnpj Computational Materials, Vol 7, Iss 1, Pp 1-8 (2021)
institution DOAJ
collection DOAJ
language EN
topic Materials of engineering and construction. Mechanics of materials
TA401-492
Computer software
QA76.75-76.765
spellingShingle Materials of engineering and construction. Mechanics of materials
TA401-492
Computer software
QA76.75-76.765
Sansit Patnaik
Fabio Semperlotti
Variable-order fracture mechanics and its application to dynamic fracture
description Abstract This study presents the formulation, the numerical solution, and the validation of a theoretical framework based on the concept of variable-order mechanics and capable of modeling dynamic fracture in brittle and quasi-brittle solids. More specifically, the reformulation of the elastodynamic problem via variable and fractional-order operators enables a unique and extremely powerful approach to model nucleation and propagation of cracks in solids under dynamic loading. The resulting dynamic fracture formulation is fully evolutionary, hence enabling the analysis of complex crack patterns without requiring any a priori assumption on the damage location and the growth path, and without using any algorithm to numerically track the evolving crack surface. The evolutionary nature of the variable-order formalism also prevents the need for additional partial differential equations to predict the evolution of the damage field, hence suggesting a conspicuous reduction in complexity and computational cost. Remarkably, the variable-order formulation is naturally capable of capturing extremely detailed features characteristic of dynamic crack propagation such as crack surface roughening as well as single and multiple branching. The accuracy and robustness of the proposed variable-order formulation are validated by comparing the results of direct numerical simulations with experimental data of typical benchmark problems available in the literature.
format article
author Sansit Patnaik
Fabio Semperlotti
author_facet Sansit Patnaik
Fabio Semperlotti
author_sort Sansit Patnaik
title Variable-order fracture mechanics and its application to dynamic fracture
title_short Variable-order fracture mechanics and its application to dynamic fracture
title_full Variable-order fracture mechanics and its application to dynamic fracture
title_fullStr Variable-order fracture mechanics and its application to dynamic fracture
title_full_unstemmed Variable-order fracture mechanics and its application to dynamic fracture
title_sort variable-order fracture mechanics and its application to dynamic fracture
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/d27318f2301b4474980d1ed8e9ff1e30
work_keys_str_mv AT sansitpatnaik variableorderfracturemechanicsanditsapplicationtodynamicfracture
AT fabiosemperlotti variableorderfracturemechanicsanditsapplicationtodynamicfracture
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