On the dynamics of continuous distributions of dislocations

Binz, Ernst; Schwarz, Günter; Wenzelburger, Jan

doi:10.1090/qam/1827812

Authors: Ernst Binz, Günter Schwarz and Jan Wenzelburger
Journal: Quart. Appl. Math. 59 (2001), 225-239
MSC: Primary 53C80; Secondary 58A10, 74A99
DOI: https://doi.org/10.1090/qam/1827812
MathSciNet review: MR1827812
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Abstract: For materials with continuous distributions of dislocations a configuration space which unifies the continuum theory of defects with classical elasticity is given. Weak equations of motion are derived from the principle of virtual work. Using the Helmholtz decomposition theorem, this yields a coupled system of equations for the dynamics of dislocations and classical elasticity.

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