On the invariance in mechanics
Zoran Draskovic.
Beograd : Matematicki Institut Sanu, 2005.
95 págs. : ilustraciones ; 24 cm.
Serie: Posebna Izdanja ; 22
ISBN: 8680593370, 8680593389 (cover)
Contenido
- 1. Preface; 2. On invariance of integration; 2.1. Introduction; 2.2. An absolute or covariant integral; 2.3. Geodesics in non-Euclidean spaces; 3. On invariant approximations in the finite element method; 3.1. Motivation; 3.2. Invariant finite element approximations in Euclidean space; 3.3. Finite element equations of motion; 3.4. A more accurate nodal stress determination in the classical finite element method; 4. On an invariant approach in shell theory; 4.1. Geometrical preliminaries; 4.2. Invariant introduction of thin shell strain measures; 4.3. Invariant introduction of stress-resultants in shell theory; 4.4. Appendices.