1. Algorithms and methodologies#

1.2. Transient dynamic analysis#

[R4.05.01] Seismic response by transient analysis

[R5.05.01] Solving a second order differential equation using the NIGAM method

[R5.05.02] Algorithms for directly integrating the DYNA_LINE_TRAN operator

[R5.05.04] Modeling damping in linear dynamics

[R5.05.05] Dynamic nonlinear algorithm

[R5.06.03] Modeling shocks and friction in transient analysis by modal recombination

[R5.06.04] DYNA_TRAN_MODAL operator time integration algorithms

1.3. Dynamic frequency analysis#

[R5.05.03] Harmonic response

1.4. Spectral analysis and random response#

[R4.05.02] Stochastic approach for seismic analysis

[R4.05.03] Seismic response by spectral method

[R7.10.01] Analysis of random responses

1.5. Dynamic substructuring#

[R4.06.02] Modal calculation by classical dynamic substructuring

[R4.06.03] Cyclic dynamic substructuring

[R5.06.01] Model reduction in linear and non-linear dynamics: RITZ method

1.6. Extrapolation of experimental measurements#

[R7.20.02] Extrapolation of measurements on a numerical model in dynamics

1.7. Soil-structure interaction#

[R4.05.04] Soil-structure interaction with spatial variability (operator DYNA_ISS_VARI)

[R4.05.05] Generation of seismic signals

[R4.05.06] Equivalent linear method for wave propagation in 1D

[R4.05.07] Nonlinear soil-structure interaction with the Laplace-Temps method

[R4.05.08] Method for taking into account the Floor-Material interaction

[R5.05.09] Calculation of reconstituted signals and the transfer function matrix

1.8. Mechanics of rupture#

[R7.02.01] Rate of energy release in linear thermoelasticity

[R7.02.03] Rate of energy restoration in non-linear thermoelasticity

[R7.02.04] Beremin model

[R7.02.05] Calculation of stress intensity coefficients in planar linear thermoelasticity

[R7.02.06] Bordet and Rice and Tracey models

[R7.02.07] Rate of energy restoration in thermo-elasto-plasticity - approach GTP

[R7.02.08] Calculation of stress intensity factors by extrapolation of the displacement field

[R7.02.09] Weibull model identification

[R7.02.10] Simplified analysis of defect harmfulness by the K-beta method

[R7.02.13] Crack propagation algorithms with X- FEM

[R7.02.16] Gp method: an energetic approach to the prediction of cleavage

[R7.02.17] Equivalent crack from a damage field

[R7.02.18] Hydro-mechanical element coupled with XFEM

[R7.02.19] Cohesive elements with X- FEM

[R7.02.20] Computation of T-stress by extrapolation of displacement field

1.9. Recaliation#

[R4.03.06] Recalibration algorithm

1.10. Probabilistic methods#

[R4.03.05] Probabilistic parametric and non-parametric models in dynamics

1.12. Nonlinear mechanics#

[R5.03.01] Quasi-static nonlinear algorithm (operator STAT_NON_LINE)

[R5.03.03] Taking into account the hypothesis of plane constraints in nonlinear behaviors

[R5.03.14] Implicit and explicit integration of nonlinear behavioral relationships

[R5.03.80] Load control methods

[R5.03.81] Method IMPLEX

[R7.01.02] Modelling of prestressed cables

1.13. Algebraic solvers#

[R6.01.02] Overview of the conjugate gradient: GCPC Aster and the use of PETSc

[R6.02.01] About GAUSS decomposition methods

[R6.02.02] Linear solver using the multifrontal method MULT_FRONT

[R6.02.03] Overview of direct linear solvers and the use of MUMPS

[R6.03.01] Solving non-regular systems by a method of decomposition into singular values

1.14. Fatigue#

[R7.04.01] Estimation of lifespan in fatigue with a large number of cycles and in oligocyclic fatigue

[R7.04.02] Estimation of fatigue under random stress

[R7.04.04] Multi-axial fatigue initiation criteria

1.15. Thermo-hydro-mechanical coupled#

[R7.01.10] THHM Modeling: Generalities and Algorithms

[R7.01.34] SUSHI finite volume diagrams for modeling miscible unsaturated flows

1.16. Contact and friction#

[R5.03.50] Discreet formulation of touch-friction

[R5.03.52] Contact elements derived from a continuous hybrid formulation

[R5.03.53] Contact in big swings with X- FEM

[R5.03.54] Contact in small swipes with X- FEM

[R5.03.55] Method LAC — Local Average Contact

1.17. Large deformations and large displacements#

[R3.03.04] External pressure efforts during major movements

[R3.03.07] Follower pressure for volume shell elements

[R5.03.21] Elasto (visco) plastic modeling with isotropic work hardening in large deformations

[R5.03.22] Law of behavior in large rotations and small deformations

[R5.03.24] Large deformation models GDEF_LOG

[R5.03.40] Static and dynamic modeling of beams in large rotations

1.18. Buckling#

[R7.05.01] Structural stability criteria

1.19. Thermal#

[R3.06.07] Diagonalization of the thermal mass matrix

[R5.02.01] Transient linear thermal algorithm

[R5.02.02] Nonlinear thermal

[R5.02.04] Nonlinear thermal in a moving coordinate system

1.20. Fluid-structure interaction#

[R4.07.02] Modelling turbulent excitations

[R4.07.03] Mass matrix calculation added on a modal basis

[R4.07.04] Fluid-structure coupling for tubular structures and coaxial shells

[R4.07.05] Homogenization of a network of beams immersed in a fluid

[R4.07.07] Identification of fluid forces

1.21. Boundary analysis#

[R7.07.01] Limit load calculation using the Norton-Hoff-Friaâ method, behavior NORTON_HOFF

1.22. Error estimators#

[R4.10.01] ZHU - ZIENKIEWICZ error estimator

[R4.10.02] Residual error estimator

[R4.10.03] Residual spatial error indicator for transient thermal

[R4.10.04] Detecting singularities and calculating an element size map

[R4.10.05] Residual error indicator for HM models

[R4.10.06] Error estimators in quantities of interest

[R4.10.07] Calculation of the error in relation of behavior in dynamics under a frequency formulation

1.23. Post-treatments#

[R3.06.03] Calculation of node stresses by local smoothing

[R4.09.01] Thermo-mechanical energy balance

[R4.20.01] Indicators of discharge and loss of proportionality of elastoplasticity loading

[R7.04.03] Post-treatment according to RCC -M

[R7.04.05] Algorithm for calculating reinforcement densities

[R7.04.10] Wear calculation operator

[R7.10.02] Post-processing of modal calculations with shock

[R7.10.03] Post-processing of tree line calculations: Campbell diagram

[R7.20.01] Projecting a field onto a mesh

1.24. Business tools#

[R7.06.01] Modeling the deformation of fuel assemblies with the MAC3 tool