Behr, Florian ; Dolzmann, Georg ; Hackl, Klaus 
; Jezdan, Ghina
Alternative Links zum Volltext:DOIVerlag
| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Continuum Mechanics and Thermodynamics |
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| Verlag: | SPRINGER |
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| Ort der Veröffentlichung: | NEW YORK |
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| Band: | 35 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 5 |
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| Seitenbereich: | S. 2019-2041 |
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| Datum: | 2023 |
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| Institutionen: | Mathematik |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1007/s00161-023-01225-9 | DOI |
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| Stichwörter / Keywords: | ENERGY MINIMIZATION; FINITE; MICROSTRUCTURES; EVOLUTION; APPROXIMATION; PRINCIPLES; POTENTIALS; Pressure-dependent plasticity; Relaxation; Convex envelope; Microstructures |
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| Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
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| Status: | Veröffentlicht |
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| Begutachtet: | Ja, diese Version wurde begutachtet |
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| An der Universität Regensburg entstanden: | Ja |
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| Dokumenten-ID: | 75807 |
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Zusammenfassung
A variational model of pressure-dependent plasticity employing a time-incremental setting is introduced. A novel formulation of the dissipation potential allows one to construct the condensed energy in a variationally consistent manner. For a one-dimensional model problem, an explicit expression for the quasiconvex envelope can be found which turns out to be essentially independent of the ...
Zusammenfassung
A variational model of pressure-dependent plasticity employing a time-incremental setting is introduced. A novel formulation of the dissipation potential allows one to construct the condensed energy in a variationally consistent manner. For a one-dimensional model problem, an explicit expression for the quasiconvex envelope can be found which turns out to be essentially independent of the original pressure-dependent yield surface. The model problem can be extended to higher dimensions in an empirical manner. Numerical simulation exhibits well-posed behavior showing mesh-independent results.
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