Conservation laws in elasticity. III: Planar linear anisotropic elastostatics

DOI10.1007/BF00251497zbMath0737.73020MaRDI QIDQ1813161

Peter J. Olver

Publication date: 25 June 1992

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

orthotropic materialproblemsfirst order conservation lawsarbitrary analytic function of two complexes variablesarbitrary homogeneous linear planar elastic materialBetti reciprocity lawstheory of change of variables of quadratic variationaltwo- infinite-dimensional families of conservation lawstwo-dimensional materials

Mathematics Subject Classification ID

Related Items (6)

Canonical elastic moduli ⋮ On Noether's theorem for the Euler-Poincaré equation on the diffeomorphism group with advected quantities ⋮ Nonlinear self-adjointness and conservation laws of the \((3+1)\)-dimensional Burgers equation ⋮ Uniqueness of Equilibrium Solutions in Nonlinear Theory of Elastic Mixtures ⋮ On dual conservation laws in planar elasticity ⋮ Conservation laws in nonhomogeneous plane elastostatics

Cites Work

• Unnamed Item
• Conservation laws in elasticity. II: Linear homogeneous isotropic elastostatics
• Canonical elastic moduli
• Erratum: ``Conservation laws in elasticity. II: Linear homogeneous isotropic elastostatics
• Conservation laws in elasticity. I: General results
• A note on the principle of minimum potential energy for linear anisotropic elastic solids

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