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The exponentiated Hencky-logarithmic strain energy. Improvement of planar polyconvexity
Institution:1. Lehrstuhl für Nichtlineare Analysis und Modellierung, Fakultät für Mathematik, Universität Duisburg-Essen, Thea-Leymann Str. 9, 45127 Essen, Germany;2. Alexandru Ioan Cuza University of Ia?i, Department of Mathematics, Blvd. Carol I, no. 11, 700506 Ia?i, Romania;3. Octav Mayer Institute of Mathematics of the Romanian Academy, Ia?i Branch, 700505 Ia?i, Romania;4. Mathematical Institute AS CR, ?itná 25, 115 67 Praha 1, Czech Republic;1. Department of Statistics, Shahid Bahonar University, Kerman, Iran;2. University of Isfahan, Department of Statistics, Isfahan 81746-73441, Iran;1. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary;2. Budapest University of Technology and Economics, Department of Analysis, Budapest, Hungary
Abstract:
Keywords:Finite isotropic elasticity  Hencky strain  Polyconvexity  Rank one convexity  Existence of minimizers  Plane elastostatics
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