| Title:
|
Inertial energetic solutions for small-strain single-slip elasto-plasticity (English) |
| Author:
|
Ishikawa, Akira |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
62 |
| Issue:
|
3 |
| Year:
|
2026 |
| Pages:
|
427-455 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We propose an energetic formulation for a small-strain single-slip elasto-plastic body with inertia and Kelvin-Voigt viscosity. The evolution couples a weak momentum balance for the displacement with a rate-independent semistability condition for the slip variable, and it is driven by a total energy that includes elastic and hardening contributions together with a strain-gradient regularization of the slip. Under variable material coefficients and $H^{1}$-regular loadings, we establish the existence of inertial energetic solutions. (English) |
| Keyword:
|
rate-independent systems |
| Keyword:
|
inertia |
| Keyword:
|
small-strain elastoplasticity |
| Keyword:
|
single-slip |
| MSC:
|
74C05 |
| MSC:
|
74D05 |
| MSC:
|
74H20 |
| DOI:
|
10.14736/kyb-2026-3-0427 |
| . |
| Date available:
|
2026-07-15T16:25:52Z |
| Last updated:
|
2026-07-15 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153682 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| . |
