Buckling of Free Infinite Strips Under Residual Stresses and Global Tension

Abstract

Long free strips of small thickness frequently show a wavy surface being the consequence of buckling due to residual stresses. The paper deals with the derivation of the corresponding relations under conditions which are frequently met in the case of edge wave buckling of rolled strips or in deployable structures. It is shown that an increasing global tension force does not only lead to increased critical residual stress intensity but also produces shorter buckling waves concentrated towards the edges of the strip. By introducing dimensionless quantities, diagrams and formulas are provided which allow the determination of critical loading combinations. Asymptotic considerations are also presented.