Differential Forms in Mathematical Physics by C. von Westenholz (Eds.)

By C. von Westenholz (Eds.)

The target of quantity III is to put down the right kind mathematical foundations of the two-dimensional concept of shells. To this finish, it presents, with none recourse to any a priori assumptions of a geometric or mechanical nature, a mathematical justification of two-dimensional nonlinear and linear shell theories, via asymptotic tools, with the thickness because the "small" parameter.

Show description

Read or Download Differential Forms in Mathematical Physics PDF

Similar classics books

The citizen-soldier, or, Memoirs of a volunteer

Normal Books ebook date: 2009 unique booklet date: 1879 unique writer: Wilstach, Baldwin

Visions and beliefs in the west of Ireland

This choice of literature makes an attempt to assemble the various vintage works that experience stood the try of time and provide them at a discounted, reasonable rate, in an enticing quantity in order that everybody can get pleasure from them.

Additional info for Differential Forms in Mathematical Physics

Example text

Linearized change of c u r v a t u r e tensor on a surface . 6. Inequalities of K o r n ' s t y p e a n d infinitesimal rigid disp l a c e m e n t l e m m a on a general surface . . . . . 100 I n e q u a l i t y of K o r n ' s t y p e a n d infinitesimal rigid disp l a c e m e n t l e m m a on an elliptic surface . . . . 8 ~. C o m p l e m e n t - Recovery of a surface from its m e t r i c a n d c u r v a t u r e tensor fields . . . . . . . . 7. Exercises Chapter . . . . . . .

2. T h e t h r e e - d i m e n s i o n a l equations over a d o m a i n independent ofe ....................... 3. G e o m e t r i c a l a n d mechanical preliminaries . . . . 4. T h e t w o - d i m e n s i o n a l equations of linearly elastic " m e m b r a n e " a n d "flexural" shells derived by m e a n s of a f o r m a l a s y m p t o t i c analysis . . . . . . . . 5. S u m m a r y of the convergence t h e o r e m s . . . . . 183 Exercises 190 . . . . . . . . . . . .

P - Po U rl" partition of the boundary of ~ with area ro > O. O 9~ C R 3 -+ R 3" injective and smooth enough mapping such that the three vectors 0 i 0 are linearly independent at all points in ~. O ( ~ ) C R 3" reference configuration of an elastic body. AiJkl _ Agijgkl § #(gik gjl § gil gjk). contravariant components of the three-dimensional elasticity tensor. )~ ) 0 and # > 0" Lam~ constants of a homogeneous, isotropic, elastic material, whose reference configuration is a natural state. fi E L2(g2) 9 contravariant components of the applied body force density.

Download PDF sample

Rated 4.43 of 5 – based on 35 votes