Theory of ShellsElsevier, 11.05.2000 - 662 Seiten The objective of Volume III is to lay down the proper mathematical foundations of the two-dimensional theory of shells. To this end, it provides, without any recourse to any a priori assumptions of a geometrical or mechanical nature, a mathematical justification of two-dimensional nonlinear and linear shell theories, by means of asymptotic methods, with the thickness as the "small" parameter. |
Häufige Begriffe und Wortgruppen
applied forces assume asymptotic analysis asymptotic expansions boundary conditions change of metric Chap Christoffel symbols condition of place contravariant components covariant components covariant derivatives curvature tensor curvilinear coordinates denote displacement field domain elastic elliptic membrane elastic flexural shell elastic generalized membrane elastic membrane shell elasticity tensor elliptic membrane shell elliptic surface formal asymptotic expansions found in Thm given Hence inequality of Korn's injective mapping Koiter equations Korn's type Lamé constants lateral face leading term linearized change linearly elastic elliptic linearly elastic flexural linearly elastic shells linearly independent manifold metric tensor MF(w Miara middle surface minimization problem nonlinear nonlinearly elastic flexural norm notations problem P(e proof of Thm relations Sanchez-Palencia scaled unknown u(e Sect set Q shell theory shows solution space T'a e Q two-dimensional equations v e V(Q variational equations variational problem vector field vectors aa VF(w weak convergences Yog(n
Beliebte Passagen
Seite 6 - Ck form an even permutation of the integers 1, 2, 3; and the sign is to be - if i, j, k is an odd permutation of 1, 2, 3. This terminology will now be explained. When the numbers 1, 2, 3 are arranged in their normal order we say there are no inversions among them. If, on the other hand, they are arranged in some other order, such as 3, 1, 2, we say that we now have a permutation of them and the permutation is called "even...
Seite 6 - The completely antisymmetric tensor eijh is equal to +1 if (i, j, k) is an even permutation of (1, 2, 3...
Seite xxx - Dynamics of Beaches' project, funded by the Human Capital and Mobility Programme of the Commission of the European Communities (contract CHRX-CT93-0392). The numerical study was partly funded by the MaST-3 project "Surf and swash zone mechanics
Seite 582 - Asymptotic analysis of dynamic problems for linearly elastic shells: Justification of equations for dynamic membrane shells', Asymptotic Anal. 17, 121-134.
Verweise auf dieses Buch
The Mathematical Theory of Finite Element Methods Susanne Brenner,L. Ridgway Scott Eingeschränkte Leseprobe - 2002 |
Nonlinear Functional Analysis and Its Applications: Part 2 B: Nonlinear ... E. Zeidler Keine Leseprobe verfügbar - 1989 |