On the derivatives of the stretch and rotation with respect to the deformation gradient

DOI10.1007/BF00115556zbMath0733.73030MaRDI QIDQ809671

Lewis T. Wheeler

Publication date: 1990

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

eigenprojections of the right stretch

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Optimization of other properties in solid mechanics (74P10)

Related Items

Derivatives of the stretch and rotation tensors, Weyl geometries, Fisher information and quantum entropy in quantum mechanics, On infinitesimal deformation measures, Derivatives of the Rotation and Stretch Tensors, Derivatives of the stretch, rotation and exponential tensors in \(n\)-dimensional vector spaces, The tensor equation \(AX +XA = \Phi (A,H)\), with applications to kinematics of continua, Invariants of the Stretch Tensors and their Application to Finite Elasticity Theory, Fréchet differentiation of the stretch and rotation tensors, Quadratic-stretch elasticity

Cites Work

• The pressurized hollow sphere problem in finite elastostatics for a class of compressible materials
• On the derivative of the square root of a tensor and Guo's rate theorems
• An introduction to continuum mechanics