Structure‐preserving invariant interpolation schemes for invertible second‐order tensors
From MaRDI portal
Publication:6148521
DOI10.1002/nme.7373arXiv2211.16507MaRDI QIDQ6148521
Wolfgang A. Wall, Christoph Meier, Unnamed Author, Christoph P. Schmidt
Publication date: 7 February 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.16507
spectral decompositionpolar decompositionlarge rotationsinvertible tensorssymmetric and non-symmetric tensorstensor interpolation
Thin bodies, structures (74Kxx) Numerical and other methods in solid mechanics (74Sxx) Global differential geometry (53Cxx)
Cites Work
- Geometrically exact beam finite element formulated on the special Euclidean group \(SE(3)\)
- Riemannian \(L^p\) averaging on Lie group of nonzero quaternions
- The interpolation of rotations and its application to finite element models of geometrically exact rods
- Statistics on the manifold of multivariate normal distributions: theory and application to diffusion tensor MRI processing
- Anisotropy preserving DTI processing
- Riemannian geometry for the statistical analysis of diffusion tensor data
- An objective 3D large deformation finite element formulation for geometrically exact curved Kirchhoff rods
- On the global interpolation of motion
- Phase-field modeling of porous-ductile fracture in non-linear thermo-elasto-plastic solids
- A Riemannian framework for tensor computing
- Director-based beam finite elements relying on the geometrically exact beam theory formulated in skew coordinates
- Extensions of Jentzsch's Theorem
- On the Dynamics of Flexible Beams Under Large Overall Motions—The Plane Case: Part II
- A beam finite element non-linear theory with finite rotations
- Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation
- Computational aspects of vector‐like parametrization of three‐dimensional finite rotations
- Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition
This page was built for publication: Structure‐preserving invariant interpolation schemes for invertible second‐order tensors
