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Linear models of buckling and stress stiffening. (English) Zbl 0944.74028

Summary: We formulate linear models for estimating limits of elastic stability and the effects of stress stiffening, starting from the assumption that in the refererence configuration the elastic body is subjected to an initial stress field which satisfies the equations of linear elasticity. When the body is subjected to some kinematically admissible perturbation, then the work done by the initial stress field, due to the product term of the Green-Lagrange strain tensor, accounts for the geometric terms in the equilibrium equations which represent the effects of the initial stress field. Examples are presented.

MSC:

74G60 Bifurcation and buckling
74B10 Linear elasticity with initial stresses
74S05 Finite element methods applied to problems in solid mechanics
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