Elastic bodies admitting cracks are analyzed. Separated pairs of displacement fields and cracks are found as minimizers of the energy in large strain setting. The crack patterns are constructed in terms of varifolds. The discontinuity set of the displacement field is contained in the cracks and may or may not coincide with them.
Stratified energies: ground states with cracks / Giaquinta, M.; Mariano, P. M.; Modica, G.; Mucci, D.. - 17:(2009), pp. 159-168.
Stratified energies: ground states with cracks
Mucci D.
2009
Abstract
Elastic bodies admitting cracks are analyzed. Separated pairs of displacement fields and cracks are found as minimizers of the energy in large strain setting. The crack patterns are constructed in terms of varifolds. The discontinuity set of the displacement field is contained in the cracks and may or may not coincide with them.
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