Method of approximation of the weak solution of elasticity problems

Igor E. Anoufriev; Leonid V. Petukhov

doi:10.1117/12.347463

5 May 1999 Method of approximation of the weak solution of elasticity problems

Igor E. Anoufriev, Leonid V. Petukhov

Proceedings Volume 3687, International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering; (1999) https://doi.org/10.1117/12.347463
Event: International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, 1998, St. Petersburg, Russian Federation

Abstract

Let ^tT be a bounded 3D domain with Lipschitz boundary (Gamma) , (sigma) equals (pi) R ² is a prescribed displacement on (Gamma) (volume forces are absent). We denote by A(u,v) equals integral_(Omega ) L(epsilon) (u) (DOT) (epsilon) (v) dx bilinear form corresponding to the first elasticity problem where L is a tensor of Hooke's law written in the tensor form (sigma) equals L(epsilon) (isotropic case will be the subject of consideration) and by V a subspace of Sobolev space W₂¹((Omega) ,R³) that is V equals {v equalsV W₂¹((Omega) ,R³) v equals 0 on (Gamma) }. We assume that g_i equalsV W₂^1/2((Gamma) ) and A(u,v) is V-elliptic bilinear form. A weak solution of the first elasticity problem is a vector- valued function.

Citation Download Citation

Igor E. Anoufriev and Leonid V. Petukhov "Method of approximation of the weak solution of elasticity problems", Proc. SPIE 3687, International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (5 May 1999); https://doi.org/10.1117/12.347463

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available