A model of elastic adhesive bonded joints through oscillation-concentration measures
A new model of adhesive bonded joints is proposed including both gradient concentrations and gradient oscillations. Through a suitable scaling a narrower notation of Young measure-varifold pair well adopted to a \(\Gamma\)-convergence process is introduced. The mechanical system and its classical variational limit is formulated. The adhesives and the adherents are assumed to be perfectly stuck together and they are modeled as hyperelastici. A new pairs of measures (the oscillation-concentration measures) are considered and the functional of strain energy associated with the displacement field is written terms of pairs mentioned above. The main results are: the characterization of the oscillations-concentrations measures and the description of the limit energy together with two examples. Furthermore, it is shown that, how the oscillation-concentration measures solutions in the new formulation may be thought as a microscopic description of the classical limit formulation.
scientific article; zbMATH DE number 5148777