Abstract
Structural instability phenomena may occur due to an interaction between material and geometrical non-linear effects. The present paper investigates the influence of the incremental behaviour of a finitely deformed material on the stability of some homogeneous equilibrium configurations of solids under tensile dead loading. A class of incrementally non-linear materials is considered, for which a stable or unstable intrinsic material behaviour is described by using a material stability criterion leading to some restrictions on the constitutive law. Relations between these restrictions and stability and the consequences of adopting different material stability conditions are examined. Some examples characterized by simple constitutive laws and specific dead loading, are analytically developed to illustrate obtained results. The analysis points out that the type of incremental material behaviour noticeably affects instability as well as bifurcation phenomena and that different scenarios (bifurcation modes and critical stresses) may take place depending on the adopted description of a stable material response.
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Greco, F. (2012). Influence of the Incremental Constitutive Law on Tensile Instability Phenomena. In: Frémond, M., Maceri, F. (eds) Mechanics, Models and Methods in Civil Engineering. Lecture Notes in Applied and Computational Mechanics, vol 61. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24638-8_23
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DOI: https://doi.org/10.1007/978-3-642-24638-8_23
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