Differences

This shows you the differences between two versions of the page.

--- appendices:a12 [2019/11/14 16:49]
helene [2. General data]
+++ appendices:a12 [2020/08/25 15:46] (current)
@@ Line 1: / Line 1: @@
-===== *.MET file =====
+===== 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 [[laws:meta|META]] and  [[laws:thmet|THMET]]. It must always exist to perform a metallurgical thermal analysis. Sections [[appendices:a12#1. Title|1. Title]] to [[appendices:a12#5. Description of TTT diagram |5. Description of TTT diagram]] are repeated with increasing ILAWN if more than one steel is described.
+This file contains all the data necessary to use effectively the laws [[laws:meta|META]], [[laws:metamec|METAMEC]], [[laws:elamet|ELAMET]], [[laws:arbthmet|ARBTHMET]] and [[laws:thmet|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.
 ==== 1. Title ====
@@ Line 13: / Line 13: @@
 |ILAWN|Number of the steel described. This number is entered under the reference number IMETA by the law [[laws:meta|META]]|
 |IMPER|= 0 No impression\\ = 1 Impression on file number 36 generally called *IN.OUM|
-|NTPCA|= 8; Number of parameters in section [[appendices:a12# Characteristic temperatures (TTT + equilibrium F-C diagrams) |Characteristic temperature]]|
+|NTPCA|Number of parameters in section [[appendices:a12# Characteristic temperatures (TTT + equilibrium F-C diagrams) |3.]] \\ = 8 for [[laws:meta|META]]; \\ = 20 for [[laws:metamec|METAMEC]]|
-|NPA|= 5; Number of parameters described by polynomials (section [[appendices:a12# Parameters described by polynomials of temperature | Parameters described by polynomials of temperature]])|
+|NPA|= 5; Number of parameters described by polynomials (section [[appendices:a12#2. Parameters described by polynomials of temperature |4.]])|
 |NDPO|Maximum degree of polynomials (maximum value = 7)|
 |NVM|= 0 No mechanical parameters described|
@@ Line 25: / Line 25: @@
 |IET|= 1: Definition of the tangent modulus according to the strain level for each phase and temperature|
 ^If IET = 1 (I5)^^
-|NEPS| Number of strain level definition|
+|NEPS| Number of strain levels|
 __Remark:__ Some values are already defined in [[laws:meta# Integer parameters|Integer parameters]], pay attention to give the same value. Values as NTPCA, NPA, NVM, NTEMP are defined a first time automatically in  LAWPRE. If you want to change these values, change also in the FORTRAN source file called LMETA.F.
@@ Line 31: / Line 31: @@
 ^Title (A5)^^
 |Title|TPCAR written in columns 1 to 5|
-^Parameters (7G10.0)^^
+^Parameters (7G10.0/7G10.0/6G10.0) - Only NTPCA parameters are read^^
 |$A_3$ or $A_{cm}$|$A_3$: equilibrium temperature for the beginning of the ferrite  transformation\\ $A_{cm}$:equilibrium temperature for the beginning of the cementite  transformation|
 |$A_1$|equilibrium temperature for the eutectoïd transformation|
@@ Line 40: / Line 40: @@
 |AM|Coefficient of the Marburger law for the martensite transformation|
 |FINCU|If no transformation has occurred when the temperature $B_s$ is reached, the SCHEIL's sum is multiplied by FINCU (generally FINCU = 0.0)|
- All the characteristic temperatures are defined on the figure below:
+|CP_e| Values defining the shift in the diagram TTT : $D = C\ \sigma_{equivalent}$ for the ferrite and the pearlite |
+|CB_a| Values defining the shift in the diagram TTT : $D = C\ \sigma_{equivalent}$ for the bainite |
+|A| Values that gives the variation of M_s |
+|B| $\Delta M_s = A \sigma_{moi} + B \sigma_{equivalent}$ |
+|EXPR| $\gamma \rightarrow $ Pr |
+|EXPE| $\gamma \rightarrow $ Pe : Dilatation due to the austenite transformation |
+|EXBA| $\gamma \rightarrow $ Ba (the reference volume is the austenite at 0E C) |
+|EXMA| $\gamma \rightarrow $ MA |
+|K4=K3| Coefficient in the plasticity transformation formulae : ferrite, cementite, pearlite |
+|K5| Coefficient in the plasticity transformation formulae : bainite |
+|K6| Coefficient in the plasticity transformation formulae : martensite |
+|TLIQUID| Temperature where the steel is considered to be fully liquid. Beyond this temperature, the preprocessor will automatically set the thermal dilatation coefficient to null values.\\ \textbf{Important : put an initial value even if you don't model liquid state}|
+All the characteristic temperatures are defined on the figure below:
 {{  :laws:meta.png?500  |}}
+__Remark__ : Some additional parameters can occur depending on the steel and its plasticity transformation formula or the modification of the formula of the shift ($D=C\sigma$). If you want to change, you must adopt:
+  - NTPCA (section 2);
+  - Subroutine METLAW that read and write with comments the parameters of section 3;
+  - Subroutine ARMEA that read the great vector PAMET where are stored the parameters of section 3 and where the formulae of $D$ and $\varepsilon^{pt}$ are implemented.
 ==== 3bis. If IET = 1 ====
 ^Title (A5)^^
 |TITLE|STLVL in the first 5 columns|
-^Line 1 - repeated NEPS times (G10.0)^^
+^Repeated NEPS times (G10.0)^^
-|EPS|Strain level|
+|EPS|Values of the NEPS strain levels (variable tangent modulus)|
 ====4. Parameters described by polynomials of temperature====
 ^Title (A5)^^
@@ Line 78: / Line 95: @@
 One must write FI followed by a blank card.\\ :!: If input parameters (temperature dependent) are given as a table, all the tables must have the same length. Otherwise, it does not work properly.
-====5. Description of TTT diagram====
+==== 5. Mechanical parameters (Only for laws coupled with mechanics) ====
+  - Firstly you give five letters : 'A1^A2' and NTER where :
+    * A1 defines the mechanical parameter:
+      * YOUNG modulus: YO
+      * POISSON ratio: NU
+      * Thermal dilatation: AC or AP (AC for the $\alpha$ coefficient of classical type and AP for the $\alpha$ coefficient of partial type)
+      * Yield stress $\sigma_y$: SY
+      * Plastic slope: ET
+    * If IPOLY=0:
+      * Thermal conductivity: LA
+      * Mass density: RO
+      * Heat capacity: CA
+      * Vickers hardness: HV
+      * Latent heat of transformation: TR
+    * '^' is a space;
+    * A2 defines the phase concerned;
+      * Austenite: AU (Except for A1=TR)
+      * Proeutectoïd: PR
+      * Pearlite: PE
+      * Bainite: BA
+      * Martensite: MA
+    * NTER as the number of temperature used to describe the evolution of the parameter.\\
+  - Secondly, **ONLY IF** AC is chosen: \\ (A5,G10.0) 3 spaces and 'TO' or 'T0' \\ VALUE: Value of $T_0$ (usually $T_0$ is the room temperature so 20°C or 293K, be careful there is no default value for this parameter, so you should enter a value, otherwise the preprocessor will crash)
+  - Thirdly, you repeat NTER times:
+    * TEMPE: Temperature
+    * VALUE: Value of the parameter
+__Remarks :__
+  - No defined tables are initialized to zero
+  - A1 = FI followed by a blank card indicates the end of section 5.
+  - For the table describing ALPHA, the first temperature __must be__ zero otherwise the integration of $\int_0^{T_{\alpha}} dT$ will not be correct. \\
+__Remarks about the thermal coefficient $\alpha$:__
+  - The $\alpha_C$ coefficient of classical type is defined by : \[\alpha_C(T) = \frac{1}{L_0}\frac{L_{(T)}-L_0}{T-T_0}\] where $L_0=L(T_0)$.\\ The $\alpha_P$ coefficient of partial type is defined by : \[\alpha_P(T)=\frac{1}{L_{(T)}}\frac{dL}{dT}\] The user could give the classical type or the partial type $\alpha$ coefficient (with AC or AP).\\
+  - If $\alpha$ is of classical type ($\alpha_C$) :
+    * The unity, chosen by the user, of $T_0$ has to be the same as the unity of the temperatures at which the $\alpha_C$ coefficient is given.
+    * The temperatures, at which the $\alpha_C$ coefficient is given, have to be given in increasing order.
+    * It is necessary to give at least 2 values of $\alpha_C$ at two temperatures.
+    * Each $\alpha_C$ coefficient has to verify the following relation : \[1+\alpha_C(T).(T-T_0)>0\;\text{ and not equal to 0}\]
+  - If the user gives the classical type $\alpha_C$ coefficient (AC), the pre-processor will calculate the partial type $\alpha_P$ coefficient. If the user gives the partial one, the pre-processor keeps these values. In the case of the calculus of the partial type $\alpha_P$ coefficient, the following relations are used (see the file ALPHAPARTIEL.F) for given couples ($T_i,\alpha_{Ci}$) with $i=1,...,n$ : \[\alpha_{P1} = \frac{\alpha_{C1}+(T_1-T_0)\frac{\alpha_{C2}-\alpha_{C1}}{T_2-T_1}}{1+\alpha_{C1}(T_1-T_0)}\]\[\alpha_{Pn} = \frac{\alpha_{Cn}+(T_n-T_0)\frac{\alpha_{Cn}-\alpha_{Cn-1}}{T_n-T_{n-1}}}{1+\alpha_{Cn}(T_n-T_0)}\] and for $i$ such as $1<i<n$: \[\alpha_{Pi}=\frac{\alpha_{Ci}+\frac{1}{2}(T_i-T_0)\left(\frac{\alpha_{Ci}-\alpha_{Ci-1}}{T_i-T_{i-1}}+\frac{\alpha_{Ci+1}-\alpha_{Ci}}{T_{i+1}-T_i}\right)}{1+\alpha_{Ci}(T_i-T_0)}\]
+  - For more information about the $\alpha$ coefficient of classical and partial type, the reader could see the internal report N° M&S/2002-8 of the 5$^{th}$ December 2002 entitled "Comparaison des coefficients de dilatation thermique classique et partiel".
+  - An example of what the user should give is:
+    AC AU    5
+        T0       0.0
+.0   10.E-06
+.0   12.E-06
+.0   16.E-06
+.0   25.E-06
+.0   30.E-06
+    AC PE    2
+        T0       0.0
+.0   10.E-06
+.0   30.E-06
+    AP MA    5
+.0   30.E-06
+.0   25.E-06
+.0   16.E-06
+.0   12.E-06
+.0   10.E-06
+====6. Description of TTT diagram====
 The three phases : Proeutectoïd (PROEU). Pearlite (PERLI) and bainite (BAINI) have to be described successively by the sections detailed hereafter. The order PROEU, then PERLI, then BAINI must be respected.
@@ Line 103: / Line 181: @@
 |PSUP|Upper percentage|
 |NTR|Number of temperatures used to described the curve of the transformation of PINF and PSUP percent|
-N.B.These data are used to complete n and b coefficients of the Johnson-Mehl-Avrami law\\
-Remark : The NTR number must be limited by the data NT1, NT2 or NT3 given in section [[appendices:a12#2. General data| General data]]  for each phase (PROEU, PEARLI or BAINI)\\
 ^Repeat NTR times (3G10.0)^^
 |TEMPE|Temperature|
 |TINF|:::|
 |TSUP|:::|
-Remark2 : Do not leave an empty card at the end of the *.met. Otherwise the Prepro will expect for another material.
+N.B.These data are used to complete n and b coefficients of the Johnson-Mehl-Avrami law\\
+__Remark 1__: The NTR number must be limited by the data NT1, NT2 or NT3 given in section [[appendices:a12#2. General data| General data]]  for each phase (PROEU, PEARLI or BAINI)\\
+__Remark 2__: Do not leave an empty card at the end of the *.met. Otherwise the Prepro will expect for another material.

Lagamine

User Tools

Site Tools

Differences

Page Tools