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Application of general variational methods with discontinuous fields to bending, buckling, and vibration of beams. (English) Zbl 0252.73035


MSC:

74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74S05 Finite element methods applied to problems in solid mechanics
74G60 Bifurcation and buckling
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[10] Pian, T. H.; Tong, P., The basis of finite element methods for solid continua, Intern, Journ. for Numerical Methods in Engineering, 1, 3-28 (1969) · Zbl 0252.73052
[11] Nemat-Nasser, S., On variational methods in finite and incremental elastic deformation problems with discontinuous fields, Quarterly Applied Mathematics, 30, 143-156 (1972) · Zbl 0253.73003
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[13] Nemat-Nasser, S.; Shatoff, H., A consistent numerical method for the solution of nonlinear elasticity problems at finite strains, SIAM Journ. on Applied Mathematics, 20, 462-481 (1971) · Zbl 0234.73011
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