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Finite Element Method - Tble of contents _bm This monograph presents in detail the novel "wave" approach to finite element modeling of transient processes in solids. Strong discontinuities of stress, deformation, and velocity wave fronts as well as a finite magnitude of wave propagation speed over elements are considered. These phenomena, such as explosions, shocks, and seismic waves, involve problems with a time scale near the wave propagation time. Software packages for 1D and 2D problems yield significantly better results than classical FEA, so some FORTRAN programs with the necessary comments are given in the appendix. The book is written for researchers, lecturers, and advanced students interested in problems of numerical modeling of non-stationary dynamic processes in deformable bodies and continua, and also for engineers and researchers involved designing machines and structures, in which shock, vibro-impact, and other unsteady dynamics and waves processes play a significant role.
(a) Geometrical model of an arch dam (b) Finite element discretizationof an arch dam including the foundation Plate Three dimensional non-linear analysis of a dam Courtesy of Prof Miguel Cervera, CIMNE, Barcelona Source: B Suarez, M Cervera and J Miguel Canet, 'Safety assessment of the Suarna arch dam using non-linear damage model',Roc lnt Sym New Trends and Guidelines on Dam Safety, Barcelona, Spain, 1998 L Berga (4.) Balakema, Rotterdam (a) Stamping die for an automotive structural component (b) Die (black) and sheet (green) discretization into 23522 rotation free BST shell triangles (c) Thickness ratio contours of the sheet at 17mm punch travel Plate Non-linear metal forming analysis of a car door Courtesy of Prof E Otiate, CIMNE and DECAD S.A Barcelona Source: E Oriate, F Zarate, J Rojek, G Duffet, L Neamtui, 'Adventures in rotation free elements for sheet stamping analysis' 4th Int Conf Workshop on Numerical Simulation of 3D Sheet Forming Processess (NUMISHEET' 99, Besancon, France, Sept 13-17, 1999) (d) Thickness ratio contours at 35mm punch travel (e) Thickness ratio contours at 54mm punch travel (0Thickness ratio contours at 72mm punch travel Plate continued Non-linear metal forming analysis of a car door Plate Car crash analysis Frontal crash of a Neon Car performed using LS-WNA Courtesy of Livermore Software Technology Corporation Model developed by FHWNNHTSA National Crash Analysis Center of the George Washington University ... travel Plate continued Non-linear metal forming analysis of a car door Plate Car crash analysis Frontal crash of a Neon Car performed using LS-WNA Courtesy of Livermore Software Technology Corporation... shell triangles (c) Thickness ratio contours of the sheet at 17mm punch travel Plate Non-linear metal forming analysis of a car door Courtesy of Prof E Otiate, CIMNE and DECAD S.A Barcelona Source:... in rotation free elements for sheet stamping analysis' 4th Int Conf Workshop on Numerical Simulation of 3D Sheet Forming Processess (NUMISHEET' 99, Besancon, France, Sept 1 3-1 7, 1999) (d) Thickness