Existence and construction of bipotentials for graphs of multivalued laws
By Marius Buliga, G. Saxcé, C. Vallée. 2006
53 citations recorded by the source corpus.
This is a first paper in convex analysis dedicated to the bipotential theory, based on an extension of Fenchel's inequality. Introduced by the second author, bipotentials lead to a succesful new treatment of the constitutive laws of some dissipative materials: frictional contact, non-associated Drucker-Prager model, or Lemaitre plastic ductile damage law. We solve here the problems of existence and construction of a bipotential for a nonsmooth mechanics constitutive law.
Subfields: Biomedical Engineering, Computational Theory and Mathematics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/8bdc391eadc80eb6c56263ef7b69f31080199989
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In Biomedical Engineering
- Riccarda Rossi
- Giuseppe Savar'e
- Alexander Mielke
- Jean-Jacques Marigo
- Andreas Mainik
- Jörn Mosler
- F. Fischer
- Klaus Hackl
In Computational Theory and Mathematics
- Alexander Mielke
- Giuseppe Savar'e
- Riccarda Rossi
- Ulisse Stefanelli
- Jean-Jacques Marigo
- Tomás Roubícek
- Jörn Mosler
- K. Pham
In Mechanics of Materials
- Giuseppe Savar'e
- Riccarda Rossi
- Alexander Mielke
- Andreas Mainik
- Jörn Mosler
- F. Fischer
- Klaus Hackl
- A. Fatemi
Citations in the corpus
- Modeling solutions with jumps for rate-independent systems on metric spaces (2008, background): “e.g. [ 4 ]), which was proposed for studying non-associated constitutive laws in mechanics by convex analysis tools.”