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Hardcover Mathematical Elasticity: Volume II: Theory of Plates Volume 27 Book

ISBN: 0444825703

ISBN13: 9780444825704

Mathematical Elasticity: Volume II: Theory of Plates Volume 27

The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying two-dimensional plate theories. More specifically, without any recourse to any a priori assumptions of a geometrical or mechanical nature, it is shown that in the linear case, the three-dimensional displacements, once properly scaled, converge in H 1 towards a limit that satisfies the well-known two-dimensional...

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