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The finite element method. Linear static and dynamic finite element analysis Thomas J. R. Hughes
Publisher: Prentice Hall

In the present study, 3D finite element modeling is used for evaluating the artificial hip joint stem that is made of Function Graded (FG) material in terms of joint stress distributions and stem length. This implicit Lagrangian non-linear finite element code is used because of its efficiency for linear and non-linear quasi-static simulation. I constructed the strain-displacement matrix in the FEM method, then we have Kuu, Kua and Kaa stiffness matrices. The equations of motions are assumed to be simple harmonic with the presence of static coupling and with the absence of dynamic coupling. A coupled 2D Discrete Element Method-Finite Element Method (DEM-FEM) code, called "BobKit", is developed and implemented for analyzing the behavior of a 2D granular layer on top of an elastic beam under deforming (quasi-static) or vibrating In the DEM model of the granular particles we use and com- pare the results between two different contact force models: the linear spring-dashpot (Hookean contact) model, and the nonlinear spring-dashpot (Hertzian contact) model. Static analysis than a linear/non-linear distinction. This is often suitable for analyses because Accounting for inertial effect gets more into the realm of dynamic analysis vs. Dig even a little bit into the different fea packages out there and you will notice a distinction between linear and nonlinear analysis. You might then wonder under what circumstances Everything below this limit can be accurately approximated using a linear material model. Jiang H: Static and dynamic mechanics analysis on artificial hip joints with different interface designs by the finite element method.