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On The Stability Of A Microstructure Model, Mihhail Berezovski, Arkadi Berezovski
On The Stability Of A Microstructure Model, Mihhail Berezovski, Arkadi Berezovski
Publications
Abstract
The asymptotic stability of solutions of the Mindlin-type microstructure model for solids is analyzed in the paper. It is shown that short waves are asymptotically stable even in the case of a weakly non-convex free energy dependence on microdeformation.
Research highlights
The Mindlin-type microstructure model cannot describe properly short wave propagation in laminates. A modified Mindlin-type microstructure model with weakly non-convex free energy resolves this discrepancy. It is shown that the improved model with weakly non-convex free energy is asymptotically stable for short waves.
On The Stability Of A Microstructure Model, Mihhail Berezovski, Arkadi Berezovski
On The Stability Of A Microstructure Model, Mihhail Berezovski, Arkadi Berezovski
Publications
The asymptotic stability of solutions of the Mindlin-type microstructure model for solids is analyzed in the paper. It is shown that short waves are asymptotically stable even in the case of a weakly non-convex free energy dependence on microdeformation.