3. Finite elements#

3.1. Finite elements#

[R3.01.00] The isoparametric finite element method

[R3.01.01] Form functions and finite element integration points

[R3.06.02] Linear modeling of continuous medium elements in thermal

[R3.06.04] Fourier elements for axisymmetric structures

[R3.06.10] Quadrangular element at an integration point, stabilized by the « Assumed Strain » method

[R3.06.11] Hexahedral element at an integration point, stabilized by the « Assumed Strain » method

[R4.02.01] Finite elements in acoustics

[R4.02.02] Vibro-acoustic elements

[R4.02.04] Fluid Coupling - Structure with free surface

[R4.02.05] Absorbent border elements

3.2. Structural elements#

[R3.07.02] Numerical modeling of thin structures: axisymmetric and 1D thermoelasto-plastic shells

[R3.07.03] Plate elements: DKT, DST, DKTG, and Q4g models

[R3.07.04] Finite elements of solid shells

[R3.07.05] Nonlinear solid shell elements

[R3.07.06] Eccentricity treatment for plate elements

[R3.07.07] SHB 8-node solid shell element

[R3.07.08] SHB solid shell elements with 6, 15, and 20 knots

[R3.07.09] Plate elements: Q4GG modeling

[R3.08.01] « Exact » beam elements

[R3.08.02] Cable modeling

[R3.08.03] Calculating the characteristics of a beam of any cross section

[R3.08.04] Beam element with 7 degrees of freedom to account for warping

[R3.08.05] A finite cable-pulley element

[R3.08.06] Finite elements of straight and curved pipes

[R3.08.07] MEMBRANE and GRILLE_MEMBRANE elements

[R3.08.08] Multi-fiber beam element (right)

[R3.08.09] Multi-fiber beams in large movements

[R3.11.01] Formulation of a thermal model for thin shells

[R4.01.01] Pre and post-treatment for thin « composite » shells

[R4.02.03] Elasto-acoustic beam

[R5.05.07] Gyroscopic matrix of straight beams and disks

[R5.05.08] Modeling of cracked rotors by equivalent stiffness as a function of the angle of rotation

3.3. Incompressible finite elements#

[R3.06.08] Finite elements dealing with quasiincompressibility

3.4. Joint, interface and discontinuity elements#

[R3.06.09] Mechanical joint finite elements and hydromechanical coupled joint finite elements

[R3.06.13] Mixed interface finite elements for cohesive zone models (xxx_ INTERFACE and xxx_ INTERFACE_S)

[R7.02.12] eXtended Finite Element Method

[R7.02.14] Internal discontinuity element

[R7.02.15] Modelling cracks with hydro-mechanical coupling in a saturated porous medium