On a One-dimensional Model of the Fracture Process
An elastic tod is extracted from an elastic foundation by means of a longitudinal force applied to the free end of the rod (Fig. 1). In spite of the extreme simplicity of the model (axial forces in the rod, the foundation transmits only shearing stresses), the process reveals close analogy with the...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research
1977-06-01
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| Series: | Engineering Transactions |
| Online Access: | https://et.ippt.pan.pl/index.php/et/article/view/2191 |
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| author | M. Sokołowski |
| author_facet | M. Sokołowski |
| author_sort | M. Sokołowski |
| collection | DOAJ |
| description | An elastic tod is extracted from an elastic foundation by means of a longitudinal force applied to the free end of the rod (Fig. 1). In spite of the extreme simplicity of the model (axial forces in the rod, the foundation transmits only shearing stresses), the process reveals close analogy with the phenomena of fracture (crack propagation) in three-dimensional elastic solids.
Several aspects of that analogy are discussed: the possible fracture criteria, steady-state motion of the rod extracted from the medium at a constant velocity, sudden start and stopping of motion; in conclusion the paper presents a representation of steady-state solution in terms of superposition of the waves produces by “elementary fractures”.
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| format | Article |
| id | doaj-art-c9482e4056344f3f84a84cd363f16d1c |
| institution | Kabale University |
| issn | 0867-888X 2450-8071 |
| language | English |
| publishDate | 1977-06-01 |
| publisher | Institute of Fundamental Technological Research |
| record_format | Article |
| series | Engineering Transactions |
| spelling | doaj-art-c9482e4056344f3f84a84cd363f16d1c2025-08-20T03:49:49ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80711977-06-01252On a One-dimensional Model of the Fracture ProcessM. Sokołowski0Institute of Fundamental Technological Research, WarszawaAn elastic tod is extracted from an elastic foundation by means of a longitudinal force applied to the free end of the rod (Fig. 1). In spite of the extreme simplicity of the model (axial forces in the rod, the foundation transmits only shearing stresses), the process reveals close analogy with the phenomena of fracture (crack propagation) in three-dimensional elastic solids. Several aspects of that analogy are discussed: the possible fracture criteria, steady-state motion of the rod extracted from the medium at a constant velocity, sudden start and stopping of motion; in conclusion the paper presents a representation of steady-state solution in terms of superposition of the waves produces by “elementary fractures”. https://et.ippt.pan.pl/index.php/et/article/view/2191 |
| spellingShingle | M. Sokołowski On a One-dimensional Model of the Fracture Process Engineering Transactions |
| title | On a One-dimensional Model of the Fracture Process |
| title_full | On a One-dimensional Model of the Fracture Process |
| title_fullStr | On a One-dimensional Model of the Fracture Process |
| title_full_unstemmed | On a One-dimensional Model of the Fracture Process |
| title_short | On a One-dimensional Model of the Fracture Process |
| title_sort | on a one dimensional model of the fracture process |
| url | https://et.ippt.pan.pl/index.php/et/article/view/2191 |
| work_keys_str_mv | AT msokołowski onaonedimensionalmodelofthefractureprocess |