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Elasto-Plastic and Damage Analysis of Plates and Shells (Paperback, Softcover reprint of hardcover 1st ed. 2008)
Loot Price: R4,535
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Elasto-Plastic and Damage Analysis of Plates and Shells (Paperback, Softcover reprint of hardcover 1st ed. 2008)
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Shells and plates are critical structures in numerous engineering
applications. Analysis and design of these structures is of
continuing interest to the scienti c 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 nite 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 nite 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 nite element analysis. 0
AsimpleC quadrilateral, doubly curved shell element is developed.
By means of a quasi-conforming technique, shear and membrane
locking are prevented. The element stiffness matrix is given
explicitly, making the formulation computationally ef cient. We
represent the elasto-plastic behavior of thick shells and plates by
means of the non-layered model, using an Updated Lagrangian method
to describe a small-strain geometric non-linearity. For the
treatment of material non-linearities, we adopt an Iliushin's yield
function expressed in terms of stress resultants, with isotropic
and kinematic hardening rules.
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