Elasto Plastic and Damage Analysis of Plates and Shells







George Z. Voyiadjis · Pawel Woelke

Elasto-Plastic and Damage

Analysis of Plates and Shells

With 82 Figures and 14 Tables





Preface

Shells and plates are critical structures in numerous engineering applications.

Analysis and design of these structures is of continuing interest to the scientific and

engineering communities. Accurate and conservative assessments of the maximum

load carried by a structure, as well as the equilibrium path in both the elastic and

inelastic range, are of paramount importance to the engineer.

The elastic behavior of shells has been closely investigated, mostly by means

of the finite element method. Inelastic analysis however, especially accounting for

damage effects, has received much less attention from researchers.

In this book, we present a computational model for finite element, elasto-plastic,

and damage analysis of thin and thick shells. Formulation of the model proceeds in

several stages. First, we develop a theory for thick spherical shells, providing a set

of shell constitutive equations. These equations incorporate the effects of transverse

shear deformation, initial curvature, and radial stresses.

The proposed shell equations are conveniently used in finite element analysis.

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