Fracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity: the antiplane case

Fracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity: the antiplane case

We study the asymptotic behavior of a variational model for damaged elasto-plastic materials in the case of antiplane shear. The energy functionals we consider depend on a small parameter ε , which forces damage concentration on regions of codimension one. We determine the Γ -limit as ε tends to zer...

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Veröffentlicht in:Calculus of variations and partial differential equations 2016-06, Vol.55 (3), p.1-39, Article 45
Hauptverfasser: Dal Maso, Gianni, Orlando, Gianluca, Toader, Rodica
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Asymptotic properties
Calculus of Variations and Optimal Control
Optimization
Control
Damage
Damage assessment
Fracture mechanics
Fracture toughness
Functionals
Joining
Mathematical analysis
Mathematical and Computational Physics
Mathematical models
Mathematics
Mathematics and Statistics
Plasticity
Systems Theory
Texts
Theoretical
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Beschreibung
Zusammenfassung:We study the asymptotic behavior of a variational model for damaged elasto-plastic materials in the case of antiplane shear. The energy functionals we consider depend on a small parameter ε , which forces damage concentration on regions of codimension one. We determine the Γ -limit as ε tends to zero and show that it contains an energy term involving the crack opening.
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-016-0981-z