On the use of convected coordinate systems in the mechanics of continuous media derived from a \(\mathbf{QR}\) factorization of \textsf{F}

DOI10.1016/J.IJENGSCI.2018.02.011zbMath1423.74027OpenAlexW2792428463WikidataQ130108405 ScholiaQ130108405MaRDI QIDQ1625111

Shahla Zamani, Alan David Freed

Publication date: 28 November 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2018.02.011

zbMATH Keywords

kinematicsstraindistortionstrain ratemetric tensorbase vectorsGram-Schmidt factorizationoblique Cartesian coordinatesquotient laws

Mathematics Subject Classification ID

Theory of constitutive functions in solid mechanics (74A20) Orthogonalization in numerical linear algebra (65F25)

Related Items (8)

Reformulation of the virtual fields method using the variation of elastic energy for parameter identification of \(\mathbf{QR}\) decomposition-based hyperelastic models ⋮ A note on the derivation of quotient rules and their use in \textbf{QR} kinematics ⋮ 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 ⋮ Laplace stretch: Eulerian and Lagrangian formulations ⋮ Characterizing geometrically necessary dislocations using an elastic-plastic decomposition of Laplace stretch ⋮ A decomposition of Laplace stretch with applications in inelasticity ⋮ Elastic Kelvin-Poisson-Poynting solids described through scalar conjugate stress/strain pairs derived from a \textbf{QR} factorization of \(\mathsf{F}\)

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• On some types of topological groups
• On the formulation of rheological equations of state
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