Mechanics in Material Space
Abstract
Considerable advances have been achieved during the period reported. Conservation laws and path-independent integrals in non-homogeneous plane elastostatics have been established. Further, conservation laws for non- homogeneous bars and beams of variable cross-section, as well as for non- homogeneous plates have been constructed. These laws should permit a more direct and simple analysis of cracks and other defects in these structural elements. A significant breakthrough came in our success of constructing conservation laws for dissipative systems. Until now, it was possible to construct conservation laws only for systems which had a Lagrangian. We have now succeeded in establishing a general procedure, which we call the Neutral Action method, which allows the construction of conservation laws (and path-independent integrals) for systems with damping, for which no systematic procedures existed before. Thus we have generalized in an important and practical way the. classical, celebrated theorem of Noether to a large class of technically more realistic systems.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1992
- Accession Number
- ADA262448
Entities
People
- George Herrmann
Organizations
- Stanford University