appendices:a1

Anonymous (anonymous@undisclosed.example.com) — 2020-08-25T15:46:12+0200

Appendix 1: Printing options The printings are saved on the file ‘NAME’.OUT. The information relating to the elements are also saved on the file ‘NAME’.STR The following can be printed: * IOPT(1) coordinates * IOPT(2) velocities *

appendices:a2

Anonymous (anonymous@undisclosed.example.com) — 2023-02-10T15:05:30+0200

Appendix 2: Non radial loading paths (1) One can impose actualized coordinates, temperatures or pressures on fixed DOF, or concentrated forces on non fixed DOF, without using the preprocessor. All the histories of force or displacement are then possible. A radial history is no more compulsory. The imposed forces and displacements multipliers are no more used.

appendices:a3

Anonymous (anonymous@undisclosed.example.com) — 2022-03-15T13:24:39+0200

Appendix 3: Non radial loading paths (2) One can impose a priori the history, according to time, of the imposed forces multiplier (FMULT), and/or the imposed displacements multiplier (DMULT). This is particularly useful for modelisations where the loading speed influences the result (viscous materials, the dynamics, etc.) and where the loading history is no more monotonous.

appendices:a4

Anonymous (anonymous@undisclosed.example.com) — 2022-05-23T10:51:53+0200

Appendix 4: Switch In geotechnics, one is often constrained to deactivate progressively some finite elements, so that a hollow proceeding is simulated and to activate other finite elements, modeling the progressive appearance of a support or a stratum construction.

appendices:a5

Anonymous (anonymous@undisclosed.example.com) — 2020-08-25T15:46:14+0200

Appendix 5: Data file for remeshing This file is used by the remeshing programs CRECOU, CREDAT, INTERP, and REMAIL (see <\\Obelix\c\Progs\sources\Remeshing>\). These programs were created in the 90's and have not been modified since. It is likely that some of them do not work properly anymore. Some info on these programs can be found in the \[WEIGHT=\frac{1}{Age^{POIDS}} \text{ or } \frac{1}{g^{POIDS}} \text{ if } POIDS<0\]$L^2/IDIW$$L^2/IDIS$$D_{critical}$\[IDI = \left(\frac{L}{D}\right)^2\]\[…

appendices:a6

Anonymous (anonymous@undisclosed.example.com) — 2020-08-25T15:46:14+0200

Appendix 6: Explanation of parameter NRDIV = istra(20) Objective In LAGAMINE code, when we work with automatic strategy, the global increment can be automatically divided into eight times, if we meet some numerical problems, such as : * the value of Jacobian is not positive at the level of the element;

appendices:a7

Anonymous (anonymous@undisclosed.example.com) — 2024-06-20T16:25:19+0200

Appendix 7: Notion of effective stress and signification of parameter ISOL in elements CSOL2 and MWAT2 The definition of effective stress is mandatory when using CSOL2, MWAT2, CSOL3, MWAT3, FAIL2, FAIL3, FAIF2, FAIF3, FAIN2, FAIN3, SGRC2, SGRT2. Remark:\[ \sigma = \begin{cases} \sigma'- b p_w & \quad \text{if } p_w \geq 0 \\ \sigma' & \quad \text{if } p_w < 0 \end{cases} \]$\sigma = \sigma' - b p_w $$p_w$$\sigma = \sigma' - b S_r p_w, \forall p_w$$S_r$$\sigma = \sigma^* -p_a$$p_a$\[…

appendices:a8

Anonymous (anonymous@undisclosed.example.com) — 2025-08-12T13:48:29+0200

Appendix 8: Water retention curves, water and air relative permeability curves and thermal conductivity function Water Retention Curves In this appendix, the different laws expressing the Water Retention Curves in FKRSAT.F are presented, along with their equations and parameters.\[S_w = 1\]\[S_w = S_{r,field}-CSW1\left(\frac{s}{CSW3}\right)^{CSW2}\]$s=p_a-p_w$$CSR3$$\rho_w.g.C^{ste}$\[ -\frac{s}{\rho_wg} = \begin{cases} -10.214\exp(-15.27S_w+6.062) & \quad \text{if } 0.1

appendices:a9

Anonymous (anonymous@undisclosed.example.com) — 2025-10-29T16:01:00+0200

Appendix 9: Printing files *.ipn, *.ipe, *.ipr, *.ipc, *.ips In addition to the printing of particular nodal values using subroutine PRISUM or values at integration points using PRISIG (which both require to modify the code), it is possible to add printing options in a *.pri file to obtain the printing of:$IP_{1}$$\sigma_x$$\sigma_y$$\sigma_{xy}$$\sigma_z$$IP_{2}$$\sigma_x$$\sigma_y$$\sigma_{xy}$$\sigma_z$$IP_{3}$$\sigma_x$$\sigma_y$$\sigma_{xy}$$\sigma_z$$IP_{4}$$\sigma_x$$\sigma_y$$\sigma_{xy…

appendices:a10

Anonymous (anonymous@undisclosed.example.com) — 2020-08-25T15:46:12+0200

Appendix 10: Dynamics parameters Choice of Newmark parameters The conditional or non conditional stability (limited time step) of the Newmark's algorithm depends on the value of the parameters $\beta$ and $\gamma$. To stay in the non conditional stability zone, two parameters $\alpha$$k$\[\beta=\frac{(1+\alpha)^2}{4}\]\[\gamma=\frac{1}{2}+\alpha k\]$\alpha>0$$0 \leq k \leq 1$$\gamma \neq 0.5$$\gamma$$\beta$$\gamma$$0 \leq \alpha \leq 1$$0 \leq k \leq 0.5$$X_B$$X_B=X_A+\Delta X$$X_A$$X_B$$\Delt…

appendices:a11

Anonymous (anonymous@undisclosed.example.com) — 2020-08-25T15:46:12+0200

Appendix 11: Explanation of OCASFO Purpose Modify a force during the execution of Lagamine automatically if some special conditions depending on the user is fulfilled. The user is identified by its IDENT, its condition is written in FORTRAN in routine OCASFO.

appendices:a12

Anonymous (anonymous@undisclosed.example.com) — 2020-08-25T15:46:12+0200

Appendix 12: *.MET file File number = 35 ; Generally called *IN.MET This *.met file is read in the Prepro by METLAW.F This file contains all the data necessary to use effectively the laws META, METAMEC, ELAMET, ARBTHMET and THMET. It must always exist to perform a metallurgical thermal analysis. Sections 1 to 8 are repeated with increasing ILAWN if more than one steel is described.$\lambda, \rho, C, H_v$$\lambda, \rho, C, H_v$$A_3$$A_{cm}$$A_3$$A_{cm}$$A_1$$B_s$$B_f$$M_s$$B_s$$D = C\ \sigma_…

appendices:a13

Anonymous (anonymous@undisclosed.example.com) — 2020-08-25T15:46:12+0200

Appendix 13: Displacement of a foundation to model a cylinder in generalized plane strain state Sometimes, it is necessary to study contact in generalised plane strain state. In some cases, the foundation is not easy to model with the classical way to define it.

appendices:a14

Anonymous (anonymous@undisclosed.example.com) — 2020-08-25T15:46:12+0200

Appendix 14: List of common files (tapes) used in Lagamine and Prepro Here is a list of the files commonly used in Lagamine and Prepro. For each of them, several data is given: * name: file name in Fortran, declared as a common variable * number: file identification number in Fortran

appendices:a15

Anonymous (anonymous@undisclosed.example.com) — 2020-08-25T15:46:13+0200

Appendix 15: Definition of the convergence norms Convergence for the displacements (NORME3.F) A step is converged for the displacements if $CONVE=\frac{UNOR}{DNOR} \leq PRECD$ with: * $UNOR$ = displacement between current and previous iterations * $DNOR$ = displacement between current iteration and beginning of the step (or end of the previous step) $CONVE$$NTNOR$$UNORM_i$$DNORM_i$$UNORM_i$$DNORM_i$$\displaystyle\sum_{\text{dof along i}} [\delta U (\text{current w.r.t. prev. iter})]²$$…

appendices:a16

Anonymous (anonymous@undisclosed.example.com) — 2020-08-25T15:46:13+0200

Appendix 16: Modification of the variable data file (.f02 or .f03) using MODVAR program The MODVAR program (<\\Obelix\c\Progs\sources\UtilLaga\MODVAR>) allows the modification of nodal variables or element variables (stresses and state variables) using a .MDV file. The structure of the *.MDV file depends on the value of ITMDV: the data is either defined by a list of nodes and elements or by groups of elements.

appendices:a17

Anonymous (anonymous@undisclosed.example.com) — 2020-08-25T15:46:13+0200

Appendix 17: Adaptive remeshing The adaptive remeshing works currently for incremental forming process with COQJ4 elements and foundation tool. This remeshing method is a refinement without transition which moves along with the tool. The coarse elements, close to the tool, are divided into a fixed number of small new elements. Some new nodes can become inconsistent with the neighboring coarse elements. Their degrees of freedom are managed by the master-slave method.

appendices:a18

Anonymous (anonymous@undisclosed.example.com) — 2020-08-25T15:46:13+0200

Appendix 18: Record stiffness matrix The subroutine, called RECORD_AK stores in an ASCII output file called NAME.71 the equation system (stiffness matrix, force and displacement) at a defined iteration. According to an identification number IDENT (in loading file 1st line 25th column), it is possible to write the whole stiffness matrix or in morse storage shape for the large simulations. Initially the storage is previewed for the first iteration and the first step. You can change this in LAMIN2…

appendices:a19

Anonymous (anonymous@undisclosed.example.com) — 2020-08-25T15:46:13+0200

Appendix 19: GMRES Solver method The Generalized Minimal RESidual (GMRES) method is an iterative method for the numerical solution of a system of linear equations developed by Y. Saad and Martin H. Schultz in 1986. The subroutine in Lagamine comes from the open source SPARKIT library.\[[K]\underline{x}=\underline{F}\]$[K]$$\underline{x}$$\underline{F}$$\underline{r}^i$\[\underline{r}^i =\underline{F}-[K]\underline{x}^i\]$\underline{x}^k$$k$$i$$D_i$$D_i$\[D_i = span(\underline{p}_1, [K]\underlin…

appendices:a20

Anonymous (anonymous@undisclosed.example.com) — 2022-09-30T09:49:13+0200

Appendix 20: Cycle jump procedure The cycle jump procedure can be used to significantly lower computation times in cases of cyclic loading (typically for fatigue). Instead of performing a complete finite-element simulation over all the cycles, groups of cycles can be extrapolated to speed up calculations:$N_i$$N_j$$N_i$$N_j$$N_i$$N_i$$N_j$$N_i$$N_j$$N_j$$N_j$$N_j$$N_i$$N_i$$N_i$$N_j$$N_i$$N_j$$N_i$$N_j$$N_i$$N_j$$N_j$$N_j$

appendices:a22

Anonymous (anonymous@undisclosed.example.com) — 2021-10-01T11:53:01+0200

Appendix 22: Structure of CONEC and SIGVA ---------- CONEC Structure The CONEC matrix contains nodal values. It is structured as follows: CONEC(INP, ISPAC, ICONE) where: * INP is the node number (INP=1,NUMNP) * ISPAC is the DOF number (ISPAC=1,NSPAC - see definition depending on value of $0$$1$$X_1$$X_0$$\dot{X}_0$$DX$$X_1$$X_0$$\dot{X}_0$$\ddot{X}_0$$\dot{X}_1$$DX$

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