Construction of bipotentials and a minimax theorem of Fan
نویسندگان
چکیده
The bipotential theory is based on an extension of Fenchel’s inequality (see section 1 and example 1 in section 2). Despite several powerful applications (frictional contact [6], non-associated Drucker-Prager model [1], or Lemaitre plastic ductile damage law [2], to cite a few), the bipotentials don’t have yet a complete mathematical treatment. This is a second paper on the mathematics of the bipotentials, following [3]. We prove here another reconstruction theorem for a bipotential from a convex lagrangian cover, this time without implicit convexity assumptions. This is achieved by using a minimax theorem of Fan.
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