多值律图的双势的存在性与构造
Existence and construction of bipotentials for graphs of multivalued laws
摘要:
这是第一篇论文在凸分析致力于双势理论,根据扩展Fenchel的不等式。第二作者介绍的双势导致了一些耗散材料的本构律的成功的新处理:摩擦接触,非关联的Drucker-Prager模型,或Lemaitre塑性韧性损伤定律。本文解决了一类非光滑力学本构律的双位势的存在性和构造问题。
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。