Chapter 4

Fundamental of mechanics of beams, plates and shells

Abstract

This chapter deals with the fundamentals of mechanics of beam, plate and shell structures. The asymptotic and axiomatic approaches in structural mechanics are thoroughly discussed. The main strengths and weaknesses, of the above mentioned methodologies, are highlighted. The most known classical models for beam, plate and shell structures are reviewed. Various examples involving different structural elements are proposed.

Keywords

Axiomatic approach; Asymptotic approach; Classical beam theories; Classical plate theories; Classical shell theories; Higher order beam, plate and shell models

The fundamental equations of continuum mechanics accounting for thermal effects ...

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