On the Material Setting of Gradient Hyperelasticity

DOI10.1177/1081286506067073zbMath1419.74071OpenAlexW2096913574MaRDI QIDQ3629969

Nina Kirchner, Paul Steinmann

Publication date: 2 June 2009

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286506067073

zbMATH Keywords

gradient theorymaterial forceshyperelasticity inverse kinematical framework

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items (7)

Unconstrained and Cauchy-Born-constrained atomistic systems: deformational and configurational mechanics ⋮ Comment to ``Hypertractions and hyperstresses convey the same mechanical information`` by Prof. Podio-Guidugli and Prof. Vianello and some related papers on higher gradient theories ⋮ How contact interactions may depend on the shape of Cauchy cuts in \(N\)th gradient continua: approach ``à la d'Alembert ⋮ Geometrically nonlinear higher-gradient elasticity with energetic boundaries ⋮ Mass transport in morphogenetic processes: a second gradient theory for volumetric growth and material remodeling ⋮ An adaptive multiscale resolution strategy for the finite deformation analysis of microheterogeneous structures ⋮ On deformational and configurational mechanics of micromorphic hyperelasticity - theory and computation

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