Affiliation:
1. Université Pierre et Marie Curie – Paris 6, Institut Jean le Rond d’Alembert, Paris, France
Abstract
In this essay, a critical review of the bases and main characters of the theories of generalized continua is given within the general context of complex systems. After a brief reminder of the various extensions from standard to so-called “generalized” continua, the emphasis is placed on various disputable essential points. These are: the theoretically irreconcilable concepts of material point and continuum, the opposing notions of “discretization” and “continualization”, the important role played by symmetries and invariances in a definitely modern view of the subject matter, and the inevitable introduction of complexity in the mechanics of real materials as illustrated by several examples.
Subject
Mechanics of Materials,General Materials Science,General Mathematics
Cited by
18 articles.
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