C 1 Discretizations for the Application to Gradient Elasticity

DOI10.1007/978-1-4419-5695-8_29zbMath1396.74095OpenAlexW39930785MaRDI QIDQ4686574

Paul Steinmann, Paul Fischer, Julia Mergheim

Publication date: 2 October 2018

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

Full work available at URL: https://doi.org/10.1007/978-1-4419-5695-8_29

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Elastic materials (74B99)

Cites Work

• Unnamed Item
• On deformational and configurational mechanics of micromorphic hyperelasticity - theory and computation
• Mixed finite element formulations of strain-gradient elasticity problems
• Overview and recent advances in natural neighbour Galerkin methods
• Implicit gradient elasticity
• On the C ¹ continuous discretization of non-linear gradient elasticity: A comparison of NEM and FEM based on Bernstein-Bézier patches
• A new formulation and 0-implementation of dynamically consistent gradient elasticity
• A three-dimensionalC¹finite element for gradient elasticity
• A vector identity for the Dirichlet tessellation
• Piecewise Quadratic Approximations on Triangles
• The natural element method in solid mechanics
• Isoparametric Hermite elements

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