Some applications of geometry in continuum mechanics

DOI10.1016/0034-4877(77)90044-1zbMath0364.73006OpenAlexW2002474844MaRDI QIDQ1241075

Thomas J. R. Hughes, Jerrold E. Marsden

Publication date: 1977

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(77)90044-1

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Theory of constitutive functions in solid mechanics (74A20)

Related Items (7)

The Truesdell rate in continuum mechanics ⋮ Nonlinear, finite deformation, finite element analysis ⋮ Geometry of logarithmic strain measures in solid mechanics ⋮ Nonlinear and linear elastodynamic transformation cloaking ⋮ Material Transport of Sets and Fields ⋮ Kinematical aspects of Levi-Civita transport of vectors and tensors along a surface curve ⋮ Green-Naghdi rate of the Kirchhoff stress and deformation rate: the elasticity tensor

Cites Work

• Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
• Classical elastodynamics as a linear symmetric hyperbolic system
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