|
| |
|
|
FETI decomposition method applied to solution of contact problem with large displacements
Dobiáš, Jiří ; Pták, Svatopluk ; Gabriel, Dušan ; Dostál, Z. ; Vondrák, V. ; Horák, D.
The paper deals with application of the FETI (Finite Element Tearing and Interconnecting) method to finite element solution of contact problems while taking into account another nonlinearity, namely the large displacements and rotations. We show, in terms of numerical experiments (i) performance of the algorithms stemming from the FETI method, in particular its numerical and parallel scalabilities and optimelity of the dual penalty, and (ii) solution of a Hertzian contact problem, i.e. achieved accuracy of the numerical solution by comparison with the analytical one, and the convergence rate.
|
|
|
Determination of elastic moduli by the resonant ultrasound spectroscopy method
Kolman, Radek ; Plešek, Jiří ; Landa, Michal
An optimization method for the determination of elastic moduli by resonant ultrasound spectrocopy (RUS) was proposed. All components of the fourth-order tensor of elastic moduli for a general anisotropic material is determined from the knowledge of the resonance responce(spectrum) of the mechanical system. This spectrum is obtained from experimental measurements, using the RUS method on the prismatic specimen. For the iterative computation of elastic moduli an identification algorithm based on the direct iteration method is used. Spatial discretisation is performed by the finite element method.
|
|
|
Numerical solution of problems of finite hyperelasticity
Poživilová, Alena
Hyperelastic material model based on the logarithmic description is implemented in the finite element code. Procedure for the calculation of all the necessery quantities at the Gaussintegration points is described in details. The second-rank update BFGS solver is used to process the governing equilibrium equations. The solution algorithm is then combined with the prediscretization contact search method in order to include contact boundary conditions. As an example, numerical simulation of the compression test of a rubber cylindrical specimen is presented.
|
|
| |
|
| |
|
| |
|
| |
guest ::
