A novel approach to the solution of the tensor equation \(AX+XA=H\)

DOI10.1016/S0020-7683(99)00053-0zbMath0963.15034OpenAlexW2037639651MaRDI QIDQ1573335

N. Delaunay

Publication date: 28 June 2001

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7683(99)00053-0

zbMATH Keywords

tensor producttensor equation

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Matrix equations and identities (15A24) Theory of constitutive functions in solid mechanics (74A20)

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Some basis-free expressions for stresses conjugate to Hill's strains through solving the tensor equation \(AX + XA = C\) ⋮ A method for the calculation of inter-element stresses in 3D ⋮ Dual orthotropic damage-effect tensors with complementary structures ⋮ Derivatives of the stretch, rotation and exponential tensors in \(n\)-dimensional vector spaces ⋮ A constraint system of coupled two-sided Sylvester-like quaternion tensor equations ⋮ Solution procedures for \(J_3\) plasticity and viscoplasticity ⋮ Higher derivatives and the inverse derivative of a tensor-valued function of a tensor

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