Si informa che Venerdi’ 21 Giugno 2019, alle ore 10:30, presso l’aula Manfredi Romano del dipartimento di Dipartimento di Strutture per l’Ingegneria e l’Architettura, Università di Napoli Federico II,  il professor JN Reddy terra’ il seminario

Some thoughts on Eringen’s differential model and modified couple (strain gradient) theories

Abstract

Engineers are “problem solving” people, who develop mathematical models of physical processes and then physically and numerically simulate the process to gain understanding that can be used to build systems for societal needs. The mathematical models are never complete because one does not know what it means to be “complete.” Thus mathematical models continuously evolve to include the latest observations and developments in science.  In the context of explaining certain observed phenomena which cannot be explained by classical continuum mechanics models, new models are being postulated (in an attempt to improve existing models). The present lecture is present an overview of non-local theories/models the author has been working for the last decade. The specific topics to be discussed are Eringen’s stress-gradient elasticity and Mindlin’s couple stress theories. These two theories are discussed in the context of reformulating the governing equations of functionally graded material beams and plates and developing associated finite element models.