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A simple model for viscoelastic crack propagation
ABSTRACT: When a crack propagates in a viscoelastic solid, energy dissipation can occur very far from the crack tip where the stress field may be very different from the [Formula: see text] singular form expected close to the crack tip. Most theories of crack propagation focus on the near crack tip...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Berlin Heidelberg
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7878232/ https://www.ncbi.nlm.nih.gov/pubmed/33570714 http://dx.doi.org/10.1140/epje/s10189-020-00001-w |
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author | Persson, B. N. J. |
author_facet | Persson, B. N. J. |
author_sort | Persson, B. N. J. |
collection | PubMed |
description | ABSTRACT: When a crack propagates in a viscoelastic solid, energy dissipation can occur very far from the crack tip where the stress field may be very different from the [Formula: see text] singular form expected close to the crack tip. Most theories of crack propagation focus on the near crack tip region. Remarkable, here I show that a simple theory which does not account for the nature of the stress field in the near crack tip region results in a crack propagation energy in semiquantitative agreement with a theory based on the stress field in the near crack tip region. I consider both opening and closing crack propagation and show that for closing crack propagation in viscoelastic solids, some energy dissipation processes must occur in the crack tip process zone. The theory is illustrated by new experimental results for the adhesive interaction between a silica glass ball and a silicone rubber surface. GRAPHIC ABSTRACT: [Image: see text] |
format | Online Article Text |
id | pubmed-7878232 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Springer Berlin Heidelberg |
record_format | MEDLINE/PubMed |
spelling | pubmed-78782322021-02-22 A simple model for viscoelastic crack propagation Persson, B. N. J. Eur Phys J E Soft Matter Regular Article - Soft Matter ABSTRACT: When a crack propagates in a viscoelastic solid, energy dissipation can occur very far from the crack tip where the stress field may be very different from the [Formula: see text] singular form expected close to the crack tip. Most theories of crack propagation focus on the near crack tip region. Remarkable, here I show that a simple theory which does not account for the nature of the stress field in the near crack tip region results in a crack propagation energy in semiquantitative agreement with a theory based on the stress field in the near crack tip region. I consider both opening and closing crack propagation and show that for closing crack propagation in viscoelastic solids, some energy dissipation processes must occur in the crack tip process zone. The theory is illustrated by new experimental results for the adhesive interaction between a silica glass ball and a silicone rubber surface. GRAPHIC ABSTRACT: [Image: see text] Springer Berlin Heidelberg 2021-02-11 2021 /pmc/articles/PMC7878232/ /pubmed/33570714 http://dx.doi.org/10.1140/epje/s10189-020-00001-w Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Regular Article - Soft Matter Persson, B. N. J. A simple model for viscoelastic crack propagation |
title | A simple model for viscoelastic crack propagation |
title_full | A simple model for viscoelastic crack propagation |
title_fullStr | A simple model for viscoelastic crack propagation |
title_full_unstemmed | A simple model for viscoelastic crack propagation |
title_short | A simple model for viscoelastic crack propagation |
title_sort | simple model for viscoelastic crack propagation |
topic | Regular Article - Soft Matter |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7878232/ https://www.ncbi.nlm.nih.gov/pubmed/33570714 http://dx.doi.org/10.1140/epje/s10189-020-00001-w |
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