ON THE DECOMPOSITION OF STRESS AND STRAIN TENSORS INTO SPHERICAL AND DEVIATORIC PARTS | Zendy

G. Augusti | Zendy; Jussi Martin | Zendy; William Prager | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

ON THE DECOMPOSITION OF STRESS AND STRAIN TENSORS INTO SPHERICAL AND DEVIATORIC PARTS

Author(s) -

G. Augusti,

Jussi Martin,

William Prager

Publication year - 1969

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.63.2.239

Subject(s) - isotropy , transverse isotropy , compressibility , anisotropy , stress (linguistics) , elasticity (physics) , work (physics) , decomposition , stress–strain curve , classical mechanics , materials science , mechanics , physics , deformation (meteorology) , composite material , thermodynamics , chemistry , optics , organic chemistry , linguistics , philosophy

It is well known that Hooke's law for a linearly elastic, isotropic solid may be written in the form of two relations that involve only the spherical or only the deviatoric parts of the tensors of stress and strain. The example of the linearly elastic, transversely isotropic solid is used to show that this decomposition is not, in general, feasible for linearly elastic, anisotropic solids. The discussion is extended to a large class of work-hardening rigid, plastic solids, and it is shown that the considered decomposition can only be achieved for the incompressible solids of this class.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research