A Mathematical Framework for Generalized Standard Materials in the Rate-Independent Case
By Alexander Mielke. 2006
76 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/afc40ddb5fffa5be418736081b980667e4f26523
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Civil and Structural Engineering
- S. Vidoli
- Seyyedvahid Mortazavian
- A. Fatemi
- Ulisse Stefanelli
- Tomás Roubícek
- Jean-Jacques Marigo
- Roberto Alessi
- C. Maurini
In Computational Theory and Mathematics
- Jean-Jacques Marigo
- Alexander Mielke
- Ulisse Stefanelli
- Seyyedvahid Mortazavian
- A. Fatemi
- C. Maurini
- Tomás Roubícek
- Roberto Alessi
In Mechanics of Materials
- Roberto Alessi
- C. Maurini
- S. Vidoli
- Jean-Jacques Marigo
- A. Fatemi
- Seyyedvahid Mortazavian
- Ulisse Stefanelli
- Alexander Mielke
Citations in the corpus
- Coupling damage and plasticity for a phase-field regularisation of brittle, cohesive and ductile fracture: One-dimensional examples (2017, background): “Rate-independence is ensured by assuming the dissipation potential being 1-homogeneous with respect to the rates [54] .”
- Γ-limits and relaxations for rate-independent evolutionary problems (2008, background): “Elastoplasticity is the most prominent application, but recently also damage, fracture, hysteretic behavior in magnetic, magnetostrictive and ferroelectric materials, and phase transformations in shapememory alloys have been described via such models, see [25,26] and the references there.”
- Fatigue behavior and modeling of short fiber reinforced polymer composites: A literature review (2015, methodology): “This theory is described by the elastic energy density and a dissipation potential with the application in finite strain elastoplacticity (Mielke, 2006; Rice, 1971).”