Abstract
When a slender member is stretched gradually with consideration given only to the principal stress in the axial direction, then failure in the global sense is said to occur by yielding if this stress reaches the elastic limit or yield point and by fracturing if the ultimate strength of the material is reached. Material elements within this member, however, are in a multiaxial stress state. Hence, yielding and/or fracture in the local sense or at a point cannot be adequately described by considering just one of the six stress or strain components even if the remote loading is uniaxial. The distinction between localized and global yielding or fracture must be made before selecting a quantity whose critical value will be assigned to determine the load carrying capacity of the member. In principle, this quantity should involve some combination of the stresses or strains.
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© 1991 Springer Science+Business Media Dordrecht
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Sih, G.C. (1991). Strain energy density theory applied to plate-bending and shell problems. In: Mechanics of Fracture Initiation and Propagation. Engineering Applications of Fracture Mechanics, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3734-8_3
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DOI: https://doi.org/10.1007/978-94-011-3734-8_3
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