An variational approach and mathematical model for nonlinear mechanics of elastic systems

• Autorzy: Burak Y. , Moroz H.
• Języki publikacji: EN

Abstrakty

EN

A variational formulation of initial-boundary value problems for the nonlinear elasticity theory of couple stresses is formulated using Hamilton functional. The local model equations are obtained. It is considered the model variants for theories of dynamical uncouple stress, quasistatic couple and uncouple stress elasticity as particular cases. The partial Hamilton functional is specified for the linear couple stress elasticity theory.

Słowa kluczowe

EN

nonlinear elasticity theory; Hamiltonian function; couple stress; initial boundary value problem

PL

nieliniowa teoria sprężystości; funkcja Hamiltona; zagadnienie brzegowo-początkowe

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Journal of Applied Computer Science
• Rocznik: 2004
• Tom: Vol. 12, nr 2
• Strony: 23--34
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Burak Y.

• Centre of Mathematical Modelling of Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Dudayev 15, Lviv, 79005, Ukraine

autor

Moroz H.

• Centre of Mathematical Modelling of Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Dudayev 15, Lviv, 79005, Ukraine

Bibliografia

• [1] Burak Y.: A mathematical model for potential description of nonlinear elastic systems, Repots of Ukrainian National Academy of Sciences, 1995, No. 2, p. 41-49.
• [2] Vasidzu К.: Variational methods in the elasticity and plasticity theory, Mir, Moskow, 1987, p. 542.
• [3] Grigolyuk E., Mamai V.: Nonlinear deforming thin-walled constructions, Nauka, Moscow, 1997, p. 272.
• [4] Grigolyuk E., Selezov I.: Nonclassical theories of rods, plates and shells vibrations, VINITI, Mechanics of deformable bodies, Vol. 5, Moskow, 1973, p. 272.
• [5] Lurie A.: Nonlinear theory of elasticity, Nauka, Moskow, 1980, p. 512.
• [6] Novozhylov V.: Fundamentals of nonlinear theory of elasticity, Gostechizdat, Moskow, 1948.
• [7] Ciarlet P. G.: Mathematical elasticity. Vol. 1, North-Holland, 1993, p. 452.