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Existence and asymptotic results for an intrinsic model of small-strain incompatible elasticity
2017
Discrete and continuous dynamical systems. Series B
A general model of incompatible small-strain elasticity is presented and analyzed, based on the linearized strain and its associated incompatibility tensor field. Strain incompatibility accounts for the presence of dislocations, whose motion is ultimately responsible for the plastic behaviour of solids. The specific functional setting is built up, on which existence results are proved. Our solution strategy is essentially based on the projection of the governing equations on appropriate
doi:10.3934/dcdsb.2020240
fatcat:dag5sl4lezd37f5es64mr3q6su