Simply look for the Free Shipping truck next to
an item. The truck indicates an item is in the
Alibris warehouse and ready to ship. Select at
least $49 worth of items displaying a truck and
get free shipping to any US address.
Alibris is an online marketplace with over 10,000
independent sellers. When you select your items
from a single seller you'll get consolidated
shipping rates from that seller.
The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of ...Show synopsisThe 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 equations of the linear Kirchhoff-Love theory; the convergence of stress is also established. In the nonlinear case, again after "ad hoc" scalings have been performed, it is shown that the leading term of a formal asymptotic expansion of the three-dimensional solution satisfies well-known two-dimensional equations, such as those of the nonlinear Kirchhoff-Love theory, or the von Karman equations. Special attention is also given to the first convergence result obtained in this case, which leads to two-dimensional large deformation, frame-indifferent, nonlinear membrane theories. It is also demonstrated that asymptotic methods can likewise be used for justifying other lower-dimensional equations of elastic shallow shells, and the coupled pluri-dimensional equations of elastic multi-structures, i.e., structures with junctions. In each case, the existence, uniqueness or multiplicity, and regularity of solutions to the limit equations obtained in this fashion are also studied.Hide synopsis
Description:BRAND NEW HARDBACK. This book is printed on demand. (allow 1-2...BRAND NEW HARDBACK. This book is printed on demand. (allow 1-2 weeks for printing)(896 pages) 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 equations of the linear kirchhoff-love theory, the convergence of stress is also established. in the nonlinear case, again after ad hoc scalings have been performed, it is shown that the leading term of a formal asymptotic expansion of the three-dimensional solution satisfies well-known two-dimensional equations, such as those of the nonlinear kirchhoff-love theory, or the von kármán equations. special attention is also given to the first convergence result obtained in this case, which leads to two-dimensional large deformation, frame-indifferent, nonlinear membrane theories. it is also demonstrated that asymptotic methods can likewise be used for justifying other lower-dimensional equations of elastic shallow shells, and the coupled pluri-dimensional equations of elastic multi-structures, i.e., structures with junctions. in each case, the existence, uniqueness or multiplicity, and regularity of solutions to the limit equations obtained in this fashion are also studied. part a. linear plate theory. 1. linearly elastic plates. 2. junctions in linearly elastic multi-structures. 3. linearly elastic shallow shells in cartesian coordinates. part b. nonlinear plate theory. 4. nonlinearly elastic plates. 5. the von kármán equations....it is an important work describing the justification of two-dimentional engineering theories of plates and shallow shells and should be purchased by university libraries. applied mechanics reviews, vol.51, no.6 (Hardback)
Description:Good. 0444825703 Used book, in good condition |No supplements |...Good. 0444825703 Used book, in good condition |No supplements | Normal wear to cover and spine | Page markings | Inventory sticker present | Satisfaction guaranteed!
Description:New. This item is printed on demand. The objective of Volume II...New. This item is printed on demand. 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.
Description:New. 0444825703 New Condition ~~~ Right off the Shelf-BUY NOW &...New. 0444825703 New Condition ~~~ Right off the Shelf-BUY NOW & INCREASE IN KNOWLEDGE...
Description:BRAND NEW HARDCOVER. 6.14 by 9 inches. This book is printed on...BRAND NEW HARDCOVER. 6.14 by 9 inches. This book is printed on demand [allow 1-2 weeks for printing]. (00564 pages) illustrated lang=english accessory: no accessory (Hardcover )
Description:Good. 0444825703 Hardcover; 1997, North Holland; 497 pages; ...Good. 0444825703 Hardcover; 1997, North Holland; 497 pages; "Theory of Plates, Volume Volume II (Studies in Mathematics and its Applications), " by Author Unknown.
