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Contents
Calculate the displacements and stresses of a clamped beam subject to a vertical traction at its extreme.
Figure 3.4: Two-dimensional elasticity problem
The beam problem is a two-dimensional elasticity problem with plane deformation. We consider a homogeneous isotropic material.
Remark: It is favorable that the nodes at corners (20, -2) and (20, 2) on
belong to two elements, due to discontinuities. For example, on the boundary
Find the displacement in
and
which satisfies:
where
Assume that
The exact solution is not known.
The type of finite element utilized in order to solve this problem: TRIA 2P2D (P2 Lagrange triangle)
Step 1: Mesh
Execute program: | D5NOXX | |
Modules used: | APNOPO | ... 2D mesh generator [MODULEF User Guide - 3] |
CONOPO | ... manual mesh generator | |
MODNOP | ... translation | |
RETRIN | ... subdivision of mesh | |
RECOLC | ... 'glue together' of meshes | |
ADPNOP | ... addition of nodes | |
GIBBS | ... renumbering of nodes | |
Libraries: | NOP2, NOPO, UTSD, UTII | |
Input data file: | D5NOPO.D | |
Output data structure: | T5NOPO |
Step2: Interpolation [13]
Execute program: | D5COXX |
Module used: | COMACO [13] |
Libraries: | ELAS, COSD, UTSD, UTII |
Element type: | TRIA 2P2D |
Output data structures: | T5MAIL |
T5COOR |
Step 3: Calculation of the element arrays and description of boundary conditions
Execute program: | D5CAXX | |
Modules used: | ELASCT | ... calculates element arrays for the constant case [14] |
CONDL1 | ... construction of numbers of the degrees of freedom associated with each node [20] | |
COBDC1 | ... introduction of boundary conditions [18] | |
Libraries: | COSD, ELAS, ELA2, UTII, UTSD | |
Output data structures: | T5TAE | |
T5BDCL |
Step 4: Solution
Execute program: | D5REXX | ... solution by a Crout direct method after assembly of the matrix and RHS vector and incorporation of boundary conditions [MODULEF User Guide - 5] |
Modules used: | PREPAC | ... allocation of pointers |
ASSMUA | ... assembly of matrix in main memory (m.m.) | |
ASEMBV | ... assembly of RHS vector in m.m. | |
CLIMPC | ... introduction of boundary conditions | |
CROUPC | ... factorization by Crout | |
DRCRPC | ... forward and backward substitution | |
Libraries: | RESB, RESO, RESD, UTSD, UTII | |
Output data structure: | T5B |
The number of words necessary to store the matrix in main memory is 38 127.
The number of words necessary to store the corresponding right-hand-side (RHS) vector is 1377.
Step 5: Calculation of stresses [90]
Execute program: | D5STXX |
Modules: | STRESS [90] |
Output data structure: | T5TAES |
The table below represents the approximate maximum values of memory usage and execution time.
Step | Dimension of | Execution time |
the super array LM | (DPS8 Multics) | |
Mesh | 15 000 | 23.0 |
Interpolation | 8 000 | 3.5 |
Element arrays | 8 000 | 12.7 |
Solution | 45 000 | 25.0 |
Stresses | 6 000 | 7.0 |
The super array M is dimensioned to 45 000 words in all the programs.
The output of the D.S. B, containing the displacements at all the nodes in the mesh, is found in the file S5B.D in library TESD. The stress values of the first 45 elements are found in file S5TAES.D in library TESD.
The remainder of this section contains the partial or total printout of the various D.S. created by the different programs. These data structures can be viewed by calling preprocessor IMAGXX and specifying the names of the files containing the desired data structures.
&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& PRINT OUT OF D.S. NOPO OF LEVEL 0 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& TITLE : BENCHMARK MODULEF NUMBER 5 :PLANE DEFORMATION-STRESS DATE AND USER'S NAME : 29/10/90 dutoit DATA STRUCTURE TYPE : NOPO LEVEL AND STATE NUMBER : 0 0 NUMBER OF ASSOCIATED TABLES : 0 TABLE N O P 2 -------------- CHARACTERISTICS OF THE MESH : SPACE DIMENSION (NDIM ) : 2 MAXIMUM NUMBER OF REFERENCES (NDSR ) : 3 MAXIMUM NUMBER OF SUB-DOMAINS (NDSD ) : 1 NODES AND POINTS DO NOT COINCIDE (NCOPNP) : 0 NUMBER OF ELEMENTS (NE ) : 144 NUMBER OF TRIANGLES (NTRI ) : 144 NUMBER OF BOUNDARY ELEMENTS (NEF ) : 88 NUMBER OF NODES (NOE ) : 333 NUMBER OF NODES BY SEGMENT (NO EXTREMITIES) : 1 NUMBER OF POINTS (NP ) : 95 TYPE OF COORDINATE VALUES (NTYCOO) : REEL1MOT MAX DIFFERENCE +1 BETWEEN 2 NODES OF AN ELEMENT : 26 NUMBER OF COARSE ELEMENTS (NBEGM ) : 0 NUMBER OF WORDS FOR TABLE NOP5 (LNOP5 ) : 2468 REFERENCE AXIS X,Y,Z (NTACOO) : 1 TABLE N O P 4 ---------------- COORDINATES OF POINTS ------------------------------------------------------------------------------- | POINT | X | Y | | POINT | X | Y | ------------------------------------------------------------------------------- | 1 | 8.88888 | 0.000000 | | 2 | 10.0000 | 0.000000 | | 3 | 8.88888 | 1.00000 | | 4 | 10.0000 | 1.00000 | | 5 | 8.88888 | 2.00000 | | 6 | 10.0000 | 2.00000 | | 7 | 4.44440 | 0.000000 | | 8 | 6.66662 | 0.000000 | | 9 | 4.44440 | 2.00000 | | 10 | 6.66662 | 2.00000 | --------------------------------------- --------------------------------------- TABLE N O P 5 ---------------- DESCRIPTION OF ELEMENTS | ELEMENT : 1 | TRIANGLE | S-D : 1 | NUMBER OF STORED WORDS : 0 NUMBER OF NODES : 6 : 152 176 154 163 164 153 NUMBER OF POINTS : 3 : 1 2 3 | ELEMENT : 2 | TRIANGLE | S-D : 1 | NUMBER OF STORED WORDS : 0 NUMBER OF NODES : 6 : 176 178 154 177 166 164 NUMBER OF POINTS : 3 : 2 4 3 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& PRINT OUT OF D.S. MAIL OF LEVEL 1 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& TITLE : DATE AND USER'S NAME : 13/09/90 dutoit DATA STRUCTURE TYPE : MAIL LEVEL AND STATE NUMBER : 1 0 NUMBER OF ASSOCIATED TABLES : 0 TABLE M A I 2 -------------- SPACE DIMENSION (NDIM) : 2 NUMBER OF UNKNOWNS OF THE VARIATIONAL FORMULATION (NINCFV) : 2 NUMBER OF TYPES OF ELEMENTS (NTYELM) : 1 NUMBER OF REFERENCES (NNR) : 3 NUMBER OF TYPES OF NODES (NTYNOE) : 1 NUMBER OF TYPES OF POINTS (NTYPOI) : 1 NUMBER OF WORDS OF TABLE MAI3 (LMAI3) : 36 POINTS ARE ONLY DEFINED BY THEIR COORDINATES NODES AND POINTS DO NOT COINCIDE (NCOPNP) : 0 MAX NUMBER OF WORDS FOR AN ELEMENT (NMMAEL) : 25 NUMBER OF WORDS OF THE TABLE MAIL (LMAIL) : 2756 STORAGE OPTION (NOPFI) : 0 TABLE M A I 3 -------------- NUMBER OF ELEMENTS (NE) : 144 NUMBER OF NODES (NOE) : 333 NUMBER OF POINTS (NP) : 95 NUMBER OF SUB-DOMAINS (NDSD) : 1 *** TABLE OF THE TYPES OF ELEMENTS *** -------------------------------------------------------------------------------- | S-D | NODE | SEGMENT | TRIANGLE | QUADRANGLE | -------------------------------------------------------------------------------- | | STRAIGHT CURVED | STRAIGHT CURVED | STRAIGHT CURVED | STRAIGHT CURVED | -------------------------------------------------------------------------------- | 1 | | | | |TRIA2P2D| | | | -------------------------------------------------------------------------------- -------------------------------------------------------------------------------- | S-D | TETRAHEDRON | PENTAHEDRON | HEXAHEDRON | SUPER-ELEMENT | -------------------------------------------------------------------------------- | | STRAIGHT CURVED | STRAIGHT CURVED | STRAIGHT CURVED | STRAIGHT CURVED | -------------------------------------------------------------------------------- | 1 | | | | | | | | | -------------------------------------------------------------------------------- TABLES M A I 5 TO M A I 8 ------------------------------- DESCRIPTION OF NODE TYPES NUMBER OF VARIATIONAL UNKNOWNS FOR EACH NODE TYPE ----------------------------------------------------- TYPE 1 : 2 NODE TYPE 1 : -------------------- DEPLACEMENT EN X (UNKNOWN : 1) : VN DEPLACEMENT EN Y (UNKNOWN : 2) : VN TABLES M A I B TO M A I K ------------------------------- DESCRIPTION OF ELEMENT TYPES ELEMENT TYPE 1 : ------------------- ELEMENT NAME : ELASTRIA2P2D ELEMENT CODE : 200002 THE ELEMENT IS A : TRIANGLE NUMBER OF NODES : 6 NUMBER OF POINTS : 3 NUMBER OF ASSOCIATED TABLES : 1 ------------------------------------------------------------------------------- | NODE | TYPE | COORDINATES ON THE UNIT ELEMENT | ------------------------------------------------------------------------------- | 1 | 1 | 0.0000000 0.0000000 | 2 | 1 | 1.000000 0.0000000 | 3 | 1 | 0.0000000 1.000000 | 4 | 1 | 0.5000000 0.0000000 | 5 | 1 | 0.5000000 0.5000000 | 6 | 1 | 0.0000000 0.5000000 ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- | POINT | TYPE | COORDINATES ON THE UNIT ELEMENT | ------------------------------------------------------------------------------- | 1 | 1 | 0.0000000 0.0000000 | 2 | 1 | 1.000000 0.0000000 | 3 | 1 | 0.0000000 1.000000 ------------------------------------------------------------------------------- TABLE 1 ( TYPE ENTIER ) : 1 MAX VALUE OF INDEX(ES) : 7 TABLE M A I L -------------- DESCRIPTION OF ELEMENTS IF NOPTFI = 0 ------------------------------------------------------------------- | ELEMENT | TYPE | NBER OF WORDS| S-D | TABLES | NBER OF NODES | ------------------------------------------------------------------- | 1 | 1 | 0 | 1 | 0 | 6 | NODE NUMBERS : 152 176 154 163 164 153 NUMBER OF POINTS 3 : 1 2 3 ------------------------------------------------------------------- | 2 | 1 | 0 | 1 | 0 | 6 | NODE NUMBERS : 176 178 154 177 166 164 NUMBER OF POINTS 3 : 2 4 3 ------------------------------------------------------------------- | 3 | 1 | 4 | 1 | 1 | 6 | NODE NUMBERS : 154 178 158 166 167 157 NUMBER OF POINTS 3 : 3 4 5 REFERENCE (VERTICES) : 0 0 2 ------------------------------------------------------------------- &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& PRINT OUT OF D.S. COOR OF LEVEL 1 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& TITLE : DATE AND USER'S NAME : 13/09/90 dutoit DATA STRUCTURE TYPE : COOR LEVEL AND STATE NUMBER : 1 0 NUMBER OF ASSOCIATED TABLES : 0 TABLE C O O 2 ------------- TYPE OF THE TABLE COO4 (NTYT) : 2 NUMBER OF ITS INDEX (NINDI) : 2 SPACE DIMENSION (NDIM) : 2 MAX VALUE OF THE SECOND INDEX (M2) : 95 SEGMENTATION CODE (NCODS) : 1 NUMBER OF BLOCKS (NBLOC) : 1 TYPE OF THE COORDINATE AXIS (NTACOO) : 1 TABLE C O O 3 ------------- TABLE OF THE LAST COLUMN NUMBER OF EACH PAGE ---------------------------------------------- PAGE 1 : 95 PAGE ---------------------------------------------- TABLE C O O 4 ------------- ------------------------------------------------------------------------------- | POINT | X | Y | | POINT | X | Y | ------------------------------------------------------------------------------- | 1 | 8.88888 | 0.000000 | | 2 | 10.0000 | 0.000000 | | 3 | 8.88888 | 1.00000 | | 4 | 10.0000 | 1.00000 | | 5 | 8.88888 | 2.00000 | | 6 | 10.0000 | 2.00000 | | 7 | 4.44440 | 0.000000 | | 8 | 6.66662 | 0.000000 | | 9 | 4.44440 | 2.00000 | | 10 | 6.66662 | 2.00000 | --------------------------------------- --------------------------------------- &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& PRINT OUT OF D.S. TAE OF LEVEL 1 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& TITLE : DATE AND USER'S NAME : 13/09/90 dutoit DATA STRUCTURE TYPE : TAE LEVEL AND STATE NUMBER : 1 0 NUMBER OF ASSOCIATED TABLES : 0 TABLE T A E 2 -------------- NUMBER OF ELEMENTS (NE) : 144 NUMBER OF NODES (NOE) : 333 NUMBER OF ARRAYS CORRESPONDING TO EACH ELEMENT (NTACE) : 3 MAX NUMBER OF NODES PER ELEMENT (NNOMAX) : 6 CONSTANT NUMBER OF D.O.F. PER NODE ( 0 IF NOT ) (ND) : 2 MAXIMUM NUMBER OF D.O.F. PER NODE (NDLMAX) : 2 NUMBER OF TYPES OF ELEMENTS (NTYELM) : 1 SUM OF THE NUMBER OF NODES OF THESE ELEMENT TYPES (LNOET) : 6 PROBLEM : 1 THERMAL, 2 ELASTIC, 3 OTHER (NPROV) : 2 REQUESTED OPTION (NOPTNT) : 111 NUMBER OF THE ASSOCIATED ARRAY CONTAINING : THE MASS MATRIX : 0 THE STIFFNESS MATRIX : 1 THE FIRST LINEAR COMBINATION : 0 THE LAST ONE : 0 THE RIGHT HAND SIDE(S) : 2 THE STRESSES OR THE FLUX : 3 TABLE T A E 3 -------------- NUMBER OF NODES BY TYPE OF ELEMENT : 6 NUMBER OF D.O.F. AT EACH NODE : 2 2 2 2 2 2 TABLE T A E 4 -------------- ASSOCIATED ARRAY NUMBER ------------ : 1 MAX NUMBER OF WORDS NECESSARY FOR STORAGE (NMMAST) : 156 TYPE OF THE ARRAY (NTYTA) : 5 NUMBER OF INDICES (NINDI) : 1 STORAGE OPTION (NSTOC) : 1 TABLE T A E 4 -------------- ASSOCIATED ARRAY NUMBER ------------ : 2 MAX NUMBER OF WORDS NECESSARY FOR STORAGE (NMMAST) : 24 TYPE OF THE ARRAY (NTYTA) : 5 NUMBER OF INDICES (NINDI) : 2 STORAGE OPTION (NSTOC) : -1 TABLE T A E 4 -------------- ASSOCIATED ARRAY NUMBER ------------ : 3 MAX NUMBER OF WORDS NECESSARY FOR STORAGE (NMMAST) : 84 TYPE OF THE ARRAY (NTYTA) : 5 NUMBER OF INDICES (NINDI) : 1 STORAGE OPTION (NSTOC) : -1 ------------------------------------------------------------------------------ ELEMENT : 1 TYPE : 1 NUMBER OF NODES : 6 THEIR NUMBERS : 152 176 154 163 164 153 ELEMENT : 1 , ASSOCIATED ARRAY NUMBER : 1 1 0.381110E+05 2 0.200000E+05 3 0.423335E+05 4 0.899993E+04 7 0.333333E+04 8 0.299998E+04 9 0.000000E+00 10 0.899993E+04 13 0.000000E+00 14 -0.333333E+04 15 0.111112E+05 16 0.333333E+04 19 0.000000E+00 20 0.000000E+00 21 0.333336E+05 22 -0.359997E+05 25 -0.133333E+05 26 0.000000E+00 27 0.000000E+00 28 0.101629E+06 31 -0.133333E+05 32 -0.119999E+05 33 0.000000E+00 34 0.000000E+00 37 0.000000E+00 38 0.000000E+00 39 0.000000E+00 40 0.133333E+05 43 -0.296299E+05 44 -0.266667E+05 45 0.101629E+06 46 0.000000E+00 49 0.000000E+00 50 0.133333E+05 51 0.000000E+00 52 -0.266667E+05 55 0.112889E+06 56 -0.148149E+05 57 -0.133333E+05 58 0.000000E+00 61 -0.133333E+05 62 0.000000E+00 63 0.266667E+05 64 -0.719994E+05 67 -0.133333E+05 68 -0.444448E+05 69 0.000000E+00 70 0.000000E+00 73 0.266667E+05 74 0.000000E+00 75 -0.266667E+05 76 -0.239998E+05 ELEMENT : 1 , ASSOCIATED ARRAY NUMBER : 2 1 0.000000E+00 2 0.000000E+00 3 0.000000E+00 4 0.000000E+00 7 0.000000E+00 8 0.000000E+00 9 0.000000E+00 10 0.000000E+00 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& PRINT OUT OF D.S. BDCL OF LEVEL 1 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& TITLE : DATE AND USER'S NAME : 13/09/90 dutoit DATA STRUCTURE TYPE : BDCL LEVEL AND STATE NUMBER : 1 0 NUMBER OF ASSOCIATED TABLES : 0 TABLE B D C 2 -------------- TYPE OF CONSTRAINED VALUES (NTYB) : 5 NUMBER OF CARDS DESCRIBING CONSTRAINTS (NCART) : 18 NUMBER OF LINEAR RELATIONS BETWEEN CONSTRAINTS (NCLRL) : 0 STORAGE OPTION (NOPTFI) : 0 NUMBER OF WORDS OF TABLE BDC3 (NMMAT3) : 54 NUMBER OF WORDS OF TABLE BDC4 (NMMAT4) : 36 NUMBER OF WORDS OF TABLE BDC5 (NMMAT5) : 0 NUMBER OF WORDS OF TABLE BDC6 (NMMAT6) : 0 TABLE B D C 3 B D C 4 ----------------------------- CLAMPING TYPE : 1 : NODE : 1 , D.O.F. : 1 AT VALUE : 0.00000000000000000E+00 CLAMPING TYPE : 1 : NODE : 1 , D.O.F. : 2 AT VALUE : 0.00000000000000000E+00 CLAMPING TYPE : 1 : NODE : 2 , D.O.F. : 1 AT VALUE : 0.00000000000000000E+00 CLAMPING TYPE : 1 : NODE : 2 , D.O.F. : 2 AT VALUE : 0.00000000000000000E+00 CLAMPING TYPE : 1 : NODE : 5 , D.O.F. : 1 AT VALUE : 0.00000000000000000E+00 CLAMPING TYPE : 1 : NODE : 5 , D.O.F. : 2 AT VALUE : 0.00000000000000000E+00 CLAMPING TYPE : 1 : NODE : 6 , D.O.F. : 1 AT VALUE : 0.00000000000000000E+00 CLAMPING TYPE : 1 : NODE : 6 , D.O.F. : 2 AT VALUE : 0.00000000000000000E+00 CLAMPING TYPE : 1 : NODE : 8 , D.O.F. : 1 AT VALUE : 0.00000000000000000E+00 CLAMPING TYPE : 1 : NODE : 8 , D.O.F. : 2 AT VALUE : 0.00000000000000000E+00 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& PRINT OUT OF D.S. B OF LEVEL 1 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& TITLE : DATE AND USER'S NAME : 13/09/90 dutoit DATA STRUCTURE TYPE : B LEVEL AND STATE NUMBER : 1 2 NUMBER OF ASSOCIATED TABLES : 0 TABLE B 2 ---------- TYPE OF THE TABLE (NTYT) : 5 NUMBER OF INDICES AND THEIR MAX VALUES (NIND..) : 2 1 666 OPTION (1: PAGES OF SAME SIZE , 0: IF NOT) (NCOD) : 1 NUMBER OF PAGES OF THE TABLE B4 (NBLOC) : 1 NUMBER OF NODES (NOE) : 333 NUMBER OF TABLES B4 IN THIS D.S. (NBBLOC) : 1 CONSTANT NUMBER OF D.O.F. AT EACH NODE OR 0 (ND) : 2 NUMBER OF D.O.F. OR LENGHT OF A B4 PAGE (NTDL) : 666 STORAGE OPTION FOR B4 (NCODSB) : -1 TABLE B 3 ---------- POINTER ON THE LAST ROW OF EACH PAGE OF B4 1 0 2 666 TABLE B4(NDSM,NTDL) NUMBER : 1 ----------------------------------- TABLE B4(NDSM,NTDL) PAGINATED IN 1 OR MORE PAGES ------------------------------------------------ PAGE 1 ---------- ------------------------------------------------------ | NODE | DOF | GLOBAL DOF| LOAD CASE(S) | ------------------------------------------------------ | 1 | 1 | 1 | 0.000000 | 2 | 2 | 0.000000 | 2 | 1 | 3 | 0.000000 | 2 | 4 | 0.000000 | 3 | 1 | 5 | -0.161109E-18 | 2 | 6 | -0.347244E-05 | 4 | 1 | 7 | 0.649441E-05 | 2 | 8 | -0.399245E-05 | 5 | 1 | 9 | 0.000000 | 2 | 10 | 0.000000 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& PRINT OUT OF D.S. TAE OF LEVEL 2 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& TITLE : DATE AND USER'S NAME : 13/09/90 dutoit DATA STRUCTURE TYPE : TAE LEVEL AND STATE NUMBER : 2 -1 NUMBER OF ASSOCIATED TABLES : 0 TABLE T A E 2 -------------- NUMBER OF ELEMENTS (NE) : 144 NUMBER OF NODES (NOE) : 333 NUMBER OF ARRAYS CORRESPONDING TO EACH ELEMENT (NTACE) : 1 MAX NUMBER OF NODES PER ELEMENT (NNOMAX) : 6 CONSTANT NUMBER OF D.O.F. PER NODE ( 0 IF NOT ) (ND) : 2 MAXIMUM NUMBER OF D.O.F. PER NODE (NDLMAX) : 2 NUMBER OF TYPES OF ELEMENTS (NTYELM) : 1 SUM OF THE NUMBER OF NODES OF THESE ELEMENT TYPES (LNOET) : 6 PROBLEM : 1 THERMAL, 2 ELASTIC, 3 OTHER (NPROV) : 2 REQUESTED OPTION (NOPTNT) : 0 NUMBER OF THE ASSOCIATED ARRAY CONTAINING : THE MASS MATRIX : 0 THE STIFFNESS MATRIX : 0 THE FIRST LINEAR COMBINATION : 0 THE LAST ONE : 0 THE RIGHT HAND SIDE(S) : 0 THE STRESSES OR THE FLUX : 1 TABLE T A E 3 -------------- NUMBER OF NODES BY TYPE OF ELEMENT : 6 NUMBER OF D.O.F. AT EACH NODE : 2 2 2 2 2 2 TABLE T A E 4 -------------- ASSOCIATED ARRAY NUMBER ------------ : 1 MAX NUMBER OF WORDS NECESSARY FOR STORAGE (NMMAST) : 84 TYPE OF THE ARRAY (NTYTA) : 5 NUMBER OF INDICES (NINDI) : 1 STORAGE OPTION (NSTOC) : -1 ------------------------------------------------------------------------------ ELEMENT : 1 NDSD : 1 ELEMENT : 1 , ASSOCIATED ARRAY NUMBER : 1 -1 10 12 2 2 1 5 1 3 0 1 9.25925 2 0.333333 1 0.270955E+00 2 -0.689490E-03 3 -0.142846E+00 ------------------------------------------------------------------------------
A plot of the deformation is generated by the preprocessor TRNOXX as follows:
Call preprocessor: | TRNOXX |
Specify input data structures: | T5NOPO |
T5B |
Figure 3.6: The deformation ( TRNOXX)
The plots of the principal stresses, and stresses according to Tresca's criterion [MODULEF User Guide - 6], are generated by the preprocessor TRSTXX as follows:
Call preprocessor: | TRSTXX |
Specify input data structures: | T5MAIL |
T5COOR | |
T5TAES |
Figure 3.7: Principal stresses ( TRSTXX)
Figure 3.8: Stresses according to Tresca's criterion ( TRSTXX)