Electronic Resource
Springer
Calculus of variations and partial differential equations
2 (1994), S. 65-100
ISSN:
1432-0835
Keywords:
49Q20
;
73C50
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract On the ground of four axioms we define thekinematics of perfectly elastic bodies and in particular the notion ofweak deformations of a perfectly elastic body. Weak deformations turn out to agree withweak diffeomorphisms introduced in [10], a class of rectifiable currents which enjoys good closure and compactness properties. Defining thedynamics of perfectly elastic bodies in terms of twoconstitutive conditions on the stored energy function, we can therefore prove existence of stable equilibrium weak deformations for mixed boundary value problems, which moreover satisfy equilibrium and conservation equations.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01234316
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