Variational methods in nonlinear elasticity
Variational methods in nonlinear elasticity
Industrial Applications of Fuzzy Control
Industrial Applications of Fuzzy Control
Application of Fuzzy Logic to Approximate Reasoning Using Linguistic Synthesis
IEEE Transactions on Computers
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Nondestructive testing in the field of defects identification in metallic elements plays a remarkable role with special regard to those sectors where the integrity of the material is strictly required. As a consequence, the detection of defects and discontinuous deformations in metallic plates and bars (inverse problem), together with the relevant shape classification, provides the operator with useful information on the actual mechanical integrity of the specimen. In the study of solid-solid-phase transformations, the loss of uniqueness in the solution together with the relevant fragmentation of the strain fields inside the solid the equilibrium comes out as a solution represented from a fine mixture among phases. The first part of this work is devoted to a partial theoretical characterization of a monodimensional model with respect to the computational aspects. A comparison is then carried out with an experimental consideration of a nondestructive investigation technique based on the eddy current principle. Finally, a novel approach to solve the inverse problem by means of fuzzy inference systems is proposed. In particular, Sugeno's inferences have been taken into account to investigate the local discontinuities of the metallic specimen subject to plastic deformations due to phase transformations by application to experimental mono-axial traction. Having acquired this result, we can calculate the stress field by applying the relevant constitutive law, which is not otherwise directly measurable.