Studies of quality of geometrically nonlinear elasticity theory for small strains and arbitrary displacements

Author:

Berezhnoi D. V.,Paimushin V. N.,Shalashilin V. I.

Publisher

Allerton Press

Subject

General Physics and Astronomy,Mechanics of Materials

Reference10 articles.

1. V. N. Paimushin and V. I. Shalashilin, “Consistent Variant of Continuum Deformation Theory in the Quadratic Approximation,” Dokl. Ross. Akad. Nauk 396(4), 492–495 (2004) [Dokl. Phys. (Engl. Transl.) 49 (6), 374–377 (2004)]

2. V. N. Paimushin and V. I. Shalashilin, “The Relations of Deformation Theory in the Quadratic Approximation and the Problems of Constructing Improved Versions of the Geometrically Non-Linear Theory of Laminated Structures,” Prikl. Mat. Mekh. 69(5), 861–881 (2005) [J. Appl. Math. Mech. (Engl. Transl.) 69 (5), 773–791 (2005)].

3. V. N. Paimushin, “The Equations of the Geometrically Non-Linear Theory of Elasticity and Momentless Shells for Arbitrary Displacements,” Prikl. Mat. Mekh. 72(5), 822–841 (2008) [J. Appl. Math. Mech. (Engl. Transl.) 72 (5), 597–610 (2008)].

4. L. H. Donnell, Beams, Plates, and Shells (McGraw-Hill, New York, 1976; Nauka, Moscow, 1982).

5. F. N. Shklyarchuk, Analysis of the Strain State and Stability of Geometrically Nonlinear Elastic Systems,” Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 1, 140–146 (1998) [Mech. Solids (Engl. Transl.) 33 (1), 114–119 (1998)].

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