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Material forces for inelastic models at large strains: application to fracture mechanics

Näser, Bastian ; Kaliske, Michael ; Müller, Ralf (2007)
Material forces for inelastic models at large strains: application to fracture mechanics.
In: Computational Mechanics, 40 (6)
doi: 10.1007/s00466-007-0159-9
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

Elastomeric materials show a wide range of different elastic and inelastic properties. Additionally, this class of materials is subjected to large deformations. Considering all these effects, fracture mechanical investigations are very challenging tasks and cannot be performed with standard approaches. Effects of inhomogeneities and discontinuities such as cracks can be investigated with the so-called material force approach in an efficient and elegant way. For comprehensive investigations of inelastic materials, the complete balance of the material motion problem has to be formulated. In this case, the material volume forces depend on the internal history variables which are required for the inelastic constitutive model. This paper derives a general formulation for rate-dependent and rate-independent inelastic materials based on a multiplicative split of the deformation gradient to cover viscoelastic and elastoplastic materials at finite deformations.

Typ des Eintrags: Artikel
Erschienen: 2007
Autor(en): Näser, Bastian ; Kaliske, Michael ; Müller, Ralf
Art des Eintrags: Bibliographie
Titel: Material forces for inelastic models at large strains: application to fracture mechanics
Sprache: Englisch
Publikationsjahr: August 2007
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Computational Mechanics
Jahrgang/Volume einer Zeitschrift: 40
(Heft-)Nummer: 6
DOI: 10.1007/s00466-007-0159-9
URL / URN: http://link.springer.com/10.1007/s00466-007-0159-9
Kurzbeschreibung (Abstract):

Elastomeric materials show a wide range of different elastic and inelastic properties. Additionally, this class of materials is subjected to large deformations. Considering all these effects, fracture mechanical investigations are very challenging tasks and cannot be performed with standard approaches. Effects of inhomogeneities and discontinuities such as cracks can be investigated with the so-called material force approach in an efficient and elegant way. For comprehensive investigations of inelastic materials, the complete balance of the material motion problem has to be formulated. In this case, the material volume forces depend on the internal history variables which are required for the inelastic constitutive model. This paper derives a general formulation for rate-dependent and rate-independent inelastic materials based on a multiplicative split of the deformation gradient to cover viscoelastic and elastoplastic materials at finite deformations.

Fachbereich(e)/-gebiet(e): 13 Fachbereich Bau- und Umweltingenieurwissenschaften
13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik
13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik > Fachgebiet Kontinuumsmechanik
Hinterlegungsdatum: 03 Mai 2022 07:24
Letzte Änderung: 03 Mai 2022 07:24
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