A note on the derivation of quotient rules and their use in \textbf{QR} kinematics
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Publication:6058599
DOI10.1007/S00707-023-03704-1zbMath1526.74003OpenAlexW4386399494MaRDI QIDQ6058599
Publication date: 1 November 2023
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-023-03704-1
Kirchhoff stressdeformation gradient decompositioncone rheometerplate rheometertensor transformation rulevector transformation rule
Vector and tensor algebra, theory of invariants (15A72) Kinematics of deformation (74A05) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)
Cites Work
- An implicit three-dimensional model for describing the inelastic response of solids undergoing finite deformation
- Logarithmic strain and its material derivative for a QR decomposition of the deformation gradient
- A note on stress/strain conjugate pairs: explicit and implicit theories of thermoelasticity for anisotropic materials
- On the use of convected coordinate systems in the mechanics of continuous media derived from a \(\mathbf{QR}\) factorization of \textsf{F}
- On the use of the upper triangular (or QR) decomposition for developing constitutive equations for Green-elastic materials
- Laplace stretch: Eulerian and Lagrangian formulations
- Characterizing geometrically necessary dislocations using an elastic-plastic decomposition of Laplace stretch
- A simple and practical representation of compatibility condition derived using a \textbf{QR} decomposition of the deformation gradient
- A constitutive framework for finite viscoelasticity and damage based on the Gram-Schmidt decomposition
- On the determination of deformation from strain
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