A note on Dienes' and Aifantis' co-rotational derivatives

DOI10.1007/BF01194356zbMath0672.73045OpenAlexW1970399278MaRDI QIDQ1120356

K. Wegener, Jürgen Stickforth

Publication date: 1988

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194356

zbMATH Keywords

rate of material rotationgradient of velocityleft Cauchy-Green stretch tensor

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74C99) Elastic materials (74B99) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (4)

New expressions for the solution of the matrix equation \({\mathbf A}^ T{\mathbf X}+{\mathbf X}{\mathbf A}={\mathbf H}\) ⋮ Coordinate-independent representation of spins in continuum mechanics ⋮ Logarithmic strain, logarithmic spin and logarithmic rate ⋮ The tensor equation \(AX +XA = \Phi (A,H)\), with applications to kinematics of continua

Cites Work

• On the analysis of rotation and stress rate in deforming bodies
• On configuration-dependent generalized Oldroyd derivatives
• The square root of a three-dimensional positive tensor
• The physics of plastic deformation
• Nonequilibrium thermodynamics and rheology of viscoelastic polymer media
• The rational mechanics and thermodynamics of polymeric fluids based upon the concept of a variable relaxed state

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