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Lecture Notes on the Theory of Plates and Shells - Classical and Modern Developments (Hardcover, 1st ed. 2023)
Loot Price: R3,129
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Lecture Notes on the Theory of Plates and Shells - Classical and Modern Developments (Hardcover, 1st ed. 2023)
Series: Solid Mechanics and Its Applications, 274
Expected to ship within 10 - 15 working days
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This book presents the theory of plates and shells on the basis of
the three-dimensional parent theory. The authors explore the
thinness of the structure to represent the mechanics of the actual
thin three-dimensional body under consideration by a more tractable
two-dimensional theory associated with an interior surface. In this
way, the relatively complex three-dimensional continuum mechanics
of the thin body is replaced by a far more tractable
two-dimensional theory. To ensure that the resulting model is
predictive, it is necessary to compensate for this 'dimension
reduction' by assigning additional kinematical and dynamical
descriptors to the surface whose deformations are modelled by the
simpler two-dimensional theory. The authors avoid the various ad
hoc assumptions made in the historical development of the subject,
most notably the classical Kirchhoff-Love hypothesis requiring that
material lines initially normal to the shell surface remain so
after deformation. Instead, such conditions, when appropriate, are
here derived rather than postulated.
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