University of Hertfordshire

By the same authors

Instabilities due to strain-softening solved using the SPH method

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Original languageEnglish
Title of host publicationECCM 2018 - 18th European Conference on Composite Materials
PublisherApplied Mechanics Laboratory
ISBN (Electronic)9781510896932
Publication statusPublished - 2020
Externally publishedYes
Event18th European Conference on Composite Materials, ECCM 2018 - Athens, Greece
Duration: 24 Jun 201828 Jun 2018

Publication series

NameECCM 2018 - 18th European Conference on Composite Materials

Conference

Conference18th European Conference on Composite Materials, ECCM 2018
Country/TerritoryGreece
CityAthens
Period24/06/1828/06/18

Abstract

The local continuum damage models used with the quasi brittle materials can lead to strain softening and an ill-posed boundary value problem, when the character of governing partial differtial equations changes locally, leading to a mesh sensitive numerical instability. This work primarily considered the strain softening effects in the SPH spatial discretization, combined with a local continuum damage model, which had been observed to lead to the instabilities in the classic FEM [1]. Simulation programme presented in here conists of analysis of an one dimensional wave propagation problem that was analytically solved by Bažant in [2] and a cube high velocity impact on a flat quasi brittle panel. The first set of results demonstrate that width of the strain softening region in the SPH is controlled by the smoothing length rather than discretisation density, which means that the SPH method is inherently non-local and suggests that the SPH smoothing length should be linked to the material characteristic length scale in solid mechanics simulations. The second set of results demonstrates that the SPH provides stable and satisfactory solutions for a high velocity impact case, which will be used for further validation of the numerical tools developed within the project EXTREME.

Notes

Funding Information: The project leading to this publication has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No 636549. Funding Information: The project leading to this publication has received funding from the European Union's Horizon 2020 research and innovation programme under grant agreement No 636549. Publisher Copyright: © CCM 2020 - 18th European Conference on Composite Materials. All rights reserved.

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