Finite deformation of a multi-layered strong anisotropic bar

✍ Scribed by N. K. Hatzitrifon

• Book ID: 104635686
• Publisher: Springer Netherlands
• Year: 1996
• Tongue: English
• Weight: 379 KB
• Volume: 3
• Category: Article
• ISSN: 0929-189X
• DOI: 10.1007/bf00134970

✦ Synopsis

Deformations, stresses and potential energy in a bar were examined in accordance with the Theory of Ideal Fibre-Reinforced Composites. The cross section of the bar consisted of several fibrereinforced inextensible layer bonded together. A concentrated external force in an axial or transverse direction caused finite deformation. For plane deformation and a general constitutive law relating shearing stress to the shearing modulus and the shear in the material, S = G-~ a. The potential energy was examined as a variational problem. The results were discussed and compared with the results obtained by the Euler-buckling and the bending analysis. It was found for the axially loaded bar that only values a = 1 possibly lead to a critical buckling force. For a > 1 every value of the external force causes buckling and ~ a~ < 1 in S = ~ G~'7 a~ entails buckling angles larger than 7r/2. A criterion for deciding which theory yields the minimum load for collapse, is presented.