J. L. Ericksen's work on Cosserat theories of rods and shells
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Publication:6612626
DOI10.1007/S10659-022-09914-3zbMATH Open1546.74002MaRDI QIDQ6612626
Publication date: 1 October 2024
Published in: Journal of Elasticity (Search for Journal in Brave)
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Shells (74K25) Biographies, obituaries, personalia, bibliographies (01A70) History of mechanics of deformable solids (74-03)
Cites Work
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- An exact derivation of the thin plate equation
- Exact theory of stress and strain in rods and shells
- The equilibrium and post-buckling behavior of an elastic curve governed by a non-convex energy
- Material constraints, Lagrange multipliers, and compatibility. Applications to rod and shell theories
- Simpler problems for elastic plates
- Equilibrium of bars
- Ordinary differential equations of non-linear elasticity. I: Foundations of the theories of non-linearly elastic rods and shells
- Convexity conditions and existence theorems in nonlinear elasticity
- Simpler problems for elastic Cosserat surfaces
- The principle of virtual work and integral laws of motion
- An introduction to \(\Gamma\)-convergence
- Convergence properties of hierarchies of dynamical theories of rods and shells
- Théorie des corps déformables.
- Sur la théorie des corps minces.
- Sur la statique de la ligne déformable.
- Le potentiel thermodynamique et la pression hydrostatique.
- Uniformity in shells
- Simpler static problems in nonlinear theories of rods
- Wave propagation in thin elastic shells
- Symmetry transformations for thin elastic shells
- Nonuniqueness of equilibrium states for bars in tension
- Plane waves and stability of elastic plates
- Über das Gleichgewicht und die Bewegung einer elastischen Scheibe.
- Ueber das Gleichgewicht und die Bewegung eines unendlich dünnen elastischen Stabes.
- Hyperbolic Conservation Laws in Continuum Physics
- Cosserat theories: Shells, rods and points
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