The variational structure of a nonlinear theory for spatial lattices

Meccanica

Volumn 31, Issue 4, 1996, Pages 441-455

  Steigmann, D J ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Mechanics of solids; Rods; Structural lattices

Indexed keywords

CONTINUUM MECHANICS; DEFORMATION; ELASTICITY; EQUATIONS OF MOTION; KINEMATICS; NONLINEAR EQUATIONS; STRAIN; THREE DIMENSIONAL; VARIATIONAL TECHNIQUES;

NONLINEAR VARIATIONAL THEORY; RODS; SPATIAL LATTICES; STRUCTURAL LATTICES;

MECHANICS;

EID: 0030215876     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00429932     Document Type: Article

References (9)

1. Antman, S.S., Nonlinear Problems of Elasticity, Springer-Verlag, New York, 1995.
2. Ewing, G.M., Calculus of Variations with Applications, Norton, W.W., New York, 1969.
3. Steigmann, D.J. and Faulkner, M.G., 'Variational theory for spatial rods', J. Elast., 33 (1993) 1-26.
4. Love, A.E.H., A Treatise on the Mathematical Theory of Elasticity, Cambridge University Press, 1927.
5. Dill, E.H., 'Kirchhoff's theory of rods', Archive for History of Exact Sciences, 44 (1992) 1-23.
6. Cannarozzi, M., 'Stationary and extremum variational formulations for the elastostatics of cable networks', Meccanica, 20 (1985) 136-143.
7. Tadjbakhsh, I.G. and Lagoudas, D.C., 'Variational theory of motion of curved, twisted and extensible elastic rods', Int. J. Engng. Sci., 32 (1994) 569-577.
8. Friedman, A., Partial Differential Equations, Holt, New York, 1969.
9. F.R. Gantmacher, The Theory of Matrices, Vol. 1. Chelsea, New York, 1977.