Size selection of crack front defects: Multiple fracture-plane interactions and intrinsic lengthscales
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915034814218240 |
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| author | Wang, Meng Bouchbinder, Eran Fineberg, Jay |
| author_facet | Wang, Meng Bouchbinder, Eran Fineberg, Jay |
| contents | Material failure is mediated by the propagation of cracks, which in realistic 3D materials typically involve multiple coexisting fracture planes. Multiple fracture-plane interactions create poorly understood out-of-plane crack structures, such as step defects on tensile fracture surfaces. Steps form once a slowly moving, distorted crack front segments into disconnected overlapping fracture planes separated by a stabilizing distance $h_{\rm max}$. Our experiments on numerous brittle hydrogels reveal that $h_{\rm max}$ varies linearly with both a nonlinear elastic length $Γ(v)/μ$ and a dissipation length $ξ$. Here, $Γ(v)$ is the measured crack velocity $v$-dependent fracture energy and $μ$ is the shear modulus. These intrinsic lengthscales point the way to a fundamental understanding of multiple-crack interactions in 3D that lead to the formation of stable out-of-plane fracture structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06289 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Size selection of crack front defects: Multiple fracture-plane interactions and intrinsic lengthscales Wang, Meng Bouchbinder, Eran Fineberg, Jay Materials Science Soft Condensed Matter Pattern Formation and Solitons Classical Physics Material failure is mediated by the propagation of cracks, which in realistic 3D materials typically involve multiple coexisting fracture planes. Multiple fracture-plane interactions create poorly understood out-of-plane crack structures, such as step defects on tensile fracture surfaces. Steps form once a slowly moving, distorted crack front segments into disconnected overlapping fracture planes separated by a stabilizing distance $h_{\rm max}$. Our experiments on numerous brittle hydrogels reveal that $h_{\rm max}$ varies linearly with both a nonlinear elastic length $Γ(v)/μ$ and a dissipation length $ξ$. Here, $Γ(v)$ is the measured crack velocity $v$-dependent fracture energy and $μ$ is the shear modulus. These intrinsic lengthscales point the way to a fundamental understanding of multiple-crack interactions in 3D that lead to the formation of stable out-of-plane fracture structures. |
| title | Size selection of crack front defects: Multiple fracture-plane interactions and intrinsic lengthscales |
| topic | Materials Science Soft Condensed Matter Pattern Formation and Solitons Classical Physics |
| url | https://arxiv.org/abs/2404.06289 |