Extension of many-time Hamiltonian formalism to the theory of deformable bodies

DOI10.1016/0020-7225(91)90077-GzbMath0762.73001MaRDI QIDQ1204081

Janusz Badur

Publication date: 18 February 1993

Published in: International Journal of Engineering Science (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian field theoryCauchy continuaCosserat approachEuler-Lagrange second-order differential equationsHellinger variational principlemulti-field variational principles

Mathematics Subject Classification ID

Theory of constitutive functions in solid mechanics (74A20) Elastic materials (74B99) Variational principles of physics (49S05) Hamiltonian and Lagrangian mechanics (70H99)

Cites Work

• Unnamed Item
• Construction of autonomous canonical systems when the Hamiltonian depends explicitly on time
• The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates
• A canonical structure for classical field theories
• Hamiltonian one parameter groups. A mathematical exposition of infinite dimensional Hamiltonian systems with applications in classical and quantum mechanics
• On the many-time formulation of classical particle dynamics

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