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Computational mechanics of generalized continua is a discipline concerned with computational methods for the solution of mechanical problems, extending/generalizing the classical Cauchy continuum as, for example, micromorphic or gradient continua. Its interdisciplinary character combines mechanics, mathematics, and computer sciences.
Overview
The classical Cauchy continuum modeling simple materials, cf. Noll (1958), is not capable of capturing material behavior that involves, e.g., size effects, localization phenomena, or the influence of the material’s substructure, i.e., the microstructure. This is not surprising; accounting only for the (dimensionless) first gradient of the deformation map, the classical continuum approach lacks an intrinsic length scale. Consequently, additional information is required to sufficiently characterize the response of non-simple materials.
Besides phenomenological approaches using internal...
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References
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Kaessmair, S., Steinmann, P. (2018). Computational Mechanics of Generalized Continua. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_111-1
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