Minimal Rotationally Invariant Bases for Hyperelasticity

DOI10.1137/S0036139903438776zbMath1126.74005MaRDI QIDQ4830619

Gregory Hale Miller

Publication date: 13 December 2004

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

symmetryelasticityGröbner baseshyperelasticityintegrity basis

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Nonlinear elasticity (74B20) Theory of constitutive functions in solid mechanics (74A20)

Related Items

Exact and approximate solutions of Riemann problems in nonlinear elasticity ⋮ The number of independent invariants for $n$ symmetric second order tensors ⋮ The effect of different forms of strain energy functions in hyperelasticity-based crystal plasticity models on texture evolution and mechanical response of face-centered cubic crystals

Uses Software

• FGb

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