New results for the spin of the Eulerian triad and the logarithmic spin and rate

DOI10.1007/BF01170842zbMath1028.74003OpenAlexW2017787917MaRDI QIDQ698294

Heng Xiao, Otto Timme Bruhns, Albert Thomas Marie Meyers

Publication date: 14 January 2004

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

Full work available at URL: https://doi.org/10.1007/bf01170842

zbMATH Keywords

eigenvaluesorthogonal eigenvectorsSylvester formulaHencky's logarithmic strain measurehypoelastic constitutive equationslogarithmic spin tensormaterial time rateobjective times ratespin tensorsymmetric Cauchy deformation tensor

Mathematics Subject Classification ID

Kinematics of deformation (74A05) Plastic materials, materials of stress-rate and internal-variable type (74C99)

Related Items (8)

Families of continuous spin tensors and applications in continuum mechanics ⋮ Large deformation plasticity. From basic relations to finite deformation ⋮ Multiplicative representation of the deformation gradient tensor in geometrically nonlinear multilevel constitutive models ⋮ Geometrical setting of solid mechanics ⋮ Two-level models of polycrystalline elastoviscoplasticity: Complex loading under large deformations ⋮ Simulating body deformations with initial stresses using Hooke-like isotropic hypoelasticity models based on corotational stress rates ⋮ Objective time derivatives revised ⋮ Thermodynamic laws and consistent Eulerian formulation of finite elastoplasticity with thermal effects

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