Accession Number : AD0429039


Title :   STUDIES IN AXIALLY SYMMETRIC WAVE PROPAGATION PROBLEMS IN PLASTIC AND HYDRODYNAMIC MEDIA,


Corporate Author : STANFORD RESEARCH INST MENLO PARK CALIF


Personal Author(s) : Ablow,C M ; Rajapakse,Y ; Hanagud,SathyanarayanaV


Report Date : Nov 1963


Pagination or Media Count : 145


Abstract : Part I of this report outlines a finite difference method for computing the motions of a general elasto-plastic-hydrodynamic material. The constitutive equations are in the form proposed by Grigorian and thus include both volume and shear plasticity. The method is based on the theory of characteristics and therefore provides accurate following of main wave fronts. However, the advantages of a mesh fixed in advance are retained behind the wave fronts by considering elementary waves passing through branches of the mesh. The difference equations were established and a computing procedure described, but no solutions were obtained. Part II describes the solution of some relatively simple flow problems in locking solids. The spherical case was solved in detail, using both analytical and characteristic numerical methods; a special class of solutions for the axially symmetric problem was obtained, and the characteristic difference procedure for numerical solutions were formulated. (Author)


Descriptors :   *MATERIALS , *PLASTIC PROPERTIES , *ELASTIC PROPERTIES , PROPAGATION , HYDRODYNAMICS , MECHANICAL WAVES , MECHANICAL WAVES , MOTION , EQUATIONS , VOLUME , SHEAR STRESSES , DEFORMATION , NUMERICAL METHODS AND PROCEDURES , STRAIN(MECHANICS)


Distribution Statement : APPROVED FOR PUBLIC RELEASE