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math-ph2017
Geometric Analysis of Hyper-Stresses
Reuven Segev
A geometric analysis of high order stresses in continuum mechanics is presented. Virtual velocity fields take their values in a vector bundle \vbts over the n-dimensional space man…
math-ph2017
Stress theory for classical fields
Raz Kupferman, Elihu Olami, Reuven Segev
Classical field theories together with the Lagrangian and Eulerian approaches to continuum mechanics are embraced under a geometric setting of a fiber bundle. The base manifold can…