Abstract
In the present work a theoretical approach to the problem of failure of non-linear elastic materials is described. This approach is based on the Principle of Conservation of Energy — the total elastic strain energy density in this case. This Principle is equivalent to the path-independence of strain energy, the same not being true for its components, i.e. dilatational and distortional densities. This way, an intimate quantitative relationship is established between the secant bulk, K S , and shear, G S , elastic moduli of the material. Experimental evidence from the open literature in case of a ductile material supports clearly the present predictions.
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Andrianopoulos, N.P., Manolopoulos, V.M., Dernikas, I.T. (2009). Coulomb Failure Surfaces in Ductile Non Linear Elastic Materials. In: Pantelakis, S., Rodopoulos, C. (eds) Engineering Against Fracture. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9402-6_11
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DOI: https://doi.org/10.1007/978-1-4020-9402-6_11
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