Notes on stresses for manifolds.
Segev, R. (2000)
Rendiconti del Seminario Matematico
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Segev, R. (2000)
Rendiconti del Seminario Matematico
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Reuven Segev (1997)
Extracta Mathematicae
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This work presents a setting for the formulation of the mechanics of growing bodies. By the mechanics of growing bodies we mean a theory in which the material structure of the body does not remain fixed. Material points may be added or removed from the body.
Manuel de León, Marcelo Epstein (1996)
Extracta Mathematicae
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Agnieszka Czarnota (2008)
Annales UMCS, Mathematica
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We describe all F2Mm1,m2,n1,n2-natural affinors on the r-th order adapted frame bundle PrAY over (m1,m2, n1, n2)-dimensional fibered-fibered manifolds Y.
Agostino Pràstaro (1979)
Stochastica
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In some previous papers [1, 2] we proposed a geometric formulation of continuum mechanics, where a continuous body is seen as a suitable differentiable fiber bundle C on the Galilean space-time M, beside a differential equation of order k, Ek(C), on C and the assignement of a frame Psi on M. This approach allowed us to treat continuum mechanics as a unitary field theory and to consider constitutive and dynamical properties in a more natural way. Further, the particular...
Ernst Binz, Manuel de León, Dan Socolescu (1999)
Extracta Mathematicae
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Marcelo Epstein, Manuel de León (1996)
Archivum Mathematicum
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We present a general geometrical theory of uniform bodies which includes three-dimensional Cosserat bodies, rods and shells as particular cases. Criteria of local homogeneity are given in terms on connections.
Iliev, Bozhidar Z. (2006)
International Journal of Mathematics and Mathematical Sciences
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