Abstract
The mechanical behavior of the elastic, perfectly locking material considered in this paper is described by a finite number of scalar functions of the strain components, which are called locking functions. The states of strain for which all locking functions assume nonpositive values are supposed to be represented by the points of a convex domain in strain space. Only states of strain that correspond to points of this domain can be attained in the material. In a state of strain that corresponds to an interior point of the domain, the solid responds in a purely elastic manner to all sufficiently small changes of stress. On the other hand, when the state of strain is represented by a boundary point of the domain, there exist changes of stress that will not be accompanied by a change of strain. This phenomenon is called locking.
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References
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Prager, W. (1966). On elastic, perfectly locking materials. In: Görtler, H. (eds) Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-29364-5_72
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DOI: https://doi.org/10.1007/978-3-662-29364-5_72
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