In solving finite strain problems, typical numerical issues are related to the difference between the initial configuration and the final configuration. The formulations that are based on the initial configuration are no longer valid. Typical example is the difference between the “engineering stress” and “true stress”. For infinitesimal strain problems, the engineering stress and true stress are reasonably the same. However, for finite strain problems, these two stresses may be quite different.
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© 2006 Springer
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Voyiadjis, G.Z., Song, C.R. (2006). Finite Element Formulations. In: The Coupled Theory of Mixtures in Geomechanics with Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-34660-0_5
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DOI: https://doi.org/10.1007/3-540-34660-0_5
Publisher Name: Springer, Berlin, Heidelberg
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