Strain energy in greatly deformed elastic or inelastic anisotropic engineering metals

✍ Scribed by K.H. Swainger

• Book ID: 103076709
• Publisher: Elsevier Science
• Year: 1948
• Tongue: English
• Weight: 667 KB
• Volume: 245
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(48)90098-2

✦ Synopsis

The equilibrating stresses on an orthogonat element in a strained body induce normal strains defined as relative displacement per unit length of deformed body. This vector "straining"displacement must be a point function for continuity of the solid. The work done by the forces on the faces of an orthogonal element of unit volume in the loaded body during a dif[erential increase of deformation is found. Integration gives the total work done on the element from the initial unstrained state up to the current state of deformation. t June. m48.1 ~TRAIN ENERGY IN ANISOTROI'[C METALS. 503 2. STRESS-STRAIN COMPATIBILITY (10, 8).

Consider an orthogonal element in a loaded one-stress test piece. The load is applied in the direction c~ of an orthogonal system of unit vectors c~, c2, ca and induces the "true" normal stress S~t. Now define the "true" normal strain