Accession Number : ADA262448


Title :   Mechanics in Material Space


Descriptive Note : Final rept. 1 Apr. 90-31 Jul 92


Corporate Author : STANFORD UNIV CA DIV OF APPLIED MECHANICS


Personal Author(s) : Herrmann, George


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a262448.pdf


Report Date : Dec 1992


Pagination or Media Count : 28


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.


Descriptors :   *STRUCTURAL COMPONENTS , STRESSES , LOAD DISTRIBUTION , NEUTRAL , BEAMS(STRUCTURAL) , VISCOELASTICITY , CRACKS , DISPLACEMENT , INTEGRALS , PATHS , DAMPING , DEFECTS(MATERIALS) , CONSTRUCTION , PLATES , CROSS SECTIONS , DIFFERENTIAL EQUATIONS , RODS


Subject Categories : Structural Engineering and Building Technology
      Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE