Aims & Learning Objectives:
To broaden th understanding of Solid Mechanics to include material and geometric nonlinearity.
To introduce concepts of bending and stretching in plate and shell structures.
To introduce the elements of incremental and deformation plasticity theory.
To underline the importance of energy and energy absoprtion in the general context.
To introduce post-buckling theory.
After taking this unit the student should be able to:
Calculate stresses and deformations in thick cylinders under a variety of loading conditions. Understand the nature of plastic yielding.
Determine deflections and critical loads of laterally loaded and in-plane loaded plates.
Determine load-deflection responses of simple plastic mechanisms and their relation to energy absorption.
Understand some of the implications of nonlinear effects in structural systems.
Content:
Stresses and deformation of pressurised thick cylinders. Yield critera. Introduction to incremental plasticity. Linear bending and buckling theory for circular and rectangular plates. Deformation theory of plasticity. Plastic mechanisms. Energy absorption. Introduction to crashworthiness. Phenomenology of post-buckling.
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