Elastic-plastic dynamic analysis of anisotropic laminated plates
This paper presents the application of a refined finite element model to the elastic and elastic-plastic dynamic analysis of anisotropic laminated plates. Dynamic analysis is based on Newmark's algorithm used in conjunction with the Hughes and Liu predictor-corrector scheme [\textit{T. J. R. Hughes} and \textit{W. K. Liu}, J. Appl. Mech. 45, 371-374 (1978; Zbl 0392.73076)] resulting in an `effective static problem' which is solved using a Newton-Raphson-type process. Flow theory is used in the inelastic range and the Huber-Mises yielding surface extended by Hill for anisotropic materials is adopted. Numerical results obtained for two categories of anisotropic structures, namely cross-ply laminated plates and angle-ply laminated plates, are presented and the effects of anisotropy and bending/stretching coupling on the dynamic elastic and elastic-plastic responses are discussed. The effects of lamina stack sequences and lamina angle sequences on the dynamic responses are also considered.
Hughes and Liu predictor-corrector scheme
scientific article; zbMATH DE number 4066474
scientific article