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## List of variables and their meaning

Table: (continued)
Table 7: Variables in CalculiX.
variable | meaning
REARRANGEMENT OF THE ORDER IN THE INPUT DECK
ifreeinp | next blank line in field inp
ipoinp(1,i) | index of the first column in field inp containing information on a block of lines in the input deck corresponding to fundamental key i; a fundamental key is a key for which the order in the input file matters (the fundamental keys are listed in file keystart.f)
ipoinp(2,i) | index of the last column in field inp containing information on a block of lines in the input deck corresopnding to fundamental key i;
inp | a column i in field inp (i.e. inp(1..3,i)) corresponds to a uninterupted block of lines assigned to one and the same fundamental key in the input deck. inp(1,i) is its first line in the input deck, inp(2,i) its last line and inp(3,i) the next column in inp corresponding to the same fundamental key; it takes the value 0 if none other exists.
MATERIAL DESCRIPTION
nmat | # materials
matname(i) | name of material i
nelcon(1,i) | # (hyper)elastic constants for material i (negative kode for nonlinear elastic constants)
nelcon(2,i) | # temperature data points for the elastic constants of material i
elcon(0,j,i) | temperature at (hyper)elastic temperature point j of material i
elcon(k,j,i) | (hyper)elastic constant k at elastic temperature point j of material i
nrhcon(i) | # temperature data points for the density of material i
rhcon(0,j,i) | temperature at density temperature point j of material i
rhcon(1,j,i) | density at the density temperature point j of material i
nshcon(i) | # temperature data points for the specific heat of material i
shcon(0,j,i) | temperature at specific heat temperature point j of material i
shcon(1,j,i) | specific heat at the specific heat temperature point j of material i
nalcon(1,i) | # of expansion constants for material i
nalcon(2,i) | # of temperature data points for the expansion coefficients of material i
alcon(0,j,i) | temperature at expansion temperature point j of material i
alcon(k,j,i) | expansion coefficient k at expansion temperature point j of material i
ncocon(1,i) | # of conductivity constants for material i
ncocon(2,i) | # of temperature data points for the conductivity coefficients of material i
cocon(0,j,i) | temperature at conductivity temperature point j of material i
cocon(k,j,i) | conductivity coefficient k at conductivity temperature point j of material i
orname(i) | name of orientation i
orab(1..6,i) | coordinates of points a and b defining the new orientation
norien | # orientations
isotropic hardening |
nplicon(0,i) | # temperature data points for the isotropic hardening curve of material i
nplicon(j,i) | # of stress - plastic strain data points at temperature j for material i
plicon(0,j,i) | temperature data point j of material i
plicon(2*k-1,j,i) | stress corresponding to stress-plastic strain data point k at temperature data point j of material i
plicon(2*k,j,i) | plastic strain corresponding to stress-plastic strain data point k at temperature data point j of material i
kinematic hardening |
nplkcon(0,i) | # temperature data points for the kinematic hardening curve of material i
nplkcon(j,i) | # of stress - plastic strain data points at temperature j for material i
plkcon(0,j,i) | temperature data point j of material i
plkcon(2*k-1,j,i) | stress corresponding to stress-plastic strain data point k at temperature data point j of material i
plkcon(2*k,j,i) | plastic strain corresponding to stress-plastic strain data point k at temperature data point j of material i
kode=-1 | Arrudy-Boyce
-2 | Mooney-Rivlin
-3 | Neo-Hooke
-4 | Ogden (N=1)
-5 | Ogden (N=2)
-6 | Ogden (N=3)
-7 | Polynomial (N=1)
-8 | Polynomial (N=2)
-9 | Polynomial (N=3)
-10 | Reduced Polynomial (N=1)
-11 | Reduced Polynomial (N=2)
-12 | Reduced Polynomial (N=3)
-13 | Van der Waals (not implemented yet)
-14 | Yeoh
-15 | Hyperfoam (N=1)
-16 | Hyperfoam (N=2)
-17 | Hyperfoam (N=3)
-50 | deformation plasticity
-51 | incremental plasticity (no viscosity)
-52 | viscoplasticity
-100 | user material routine with -kode-100 user defined constants with keyword *USER MATERIAL
PROCEDURE DESCRIPTION
iperturb | 0 : linear
| 1 : second order theory
| 2 : nonlinear geometric
| 3 : nonlinear elastic material (and nonlinear geometric)
nmethod | 1 : static (linear or nonlinear)
| 2 : frequency(linear)
| 3 : buckling (linear)
| 4 : dynamic (linear or nonlinear)
GEOMETRY DESCRIPTION
nk | highest node number
co(i,j) | coordinate i of node j
inotr(1,j) | transformation number applicable in node j
inotr(2,j) | a SPC in a node j in which a transformation applies corresponds to a MPC. inotr(2,j) contains the number of a new node generated for the inhomogeneous part of the MPC
TOPOLOGY DESCRIPTION
ne | highest element number
mint_ | max # of integration points per element (max over all elements)
kon(i) | field containing the connectivity lists of the elements in successive order
For element i |
ipkon(i) | (location in kon of the first node in the element connectivity list of element i)-1
lakon(i) | element label
ielorien(i) | orientation number
ielmat(i) | material number
SHELL (2-D) AND BEAM (1-D) VARIABLES (INCLUDING PLANE STRAIN, PLANE STRESS AND AXISYMMETRIC ELEMENTS)
iponor(2,i) | two pointers for entry i of kon. The first pointer points to the location in xnor preceding the normals of entry i, the second points to the location in knor of the newly generated dependent nodes of entry i.
xnor(i) | field containing the normals in nodes on the elements they belong to
knor(i) | field containing the extra nodes needed to expand the shell and beam elements to volume elements
thickn(2,i) | thicknesses (one for shells, two for beams) in node i
thicke(2,i) | thicknesses (one for shells, two for beams) in element nodes. The entries correspond to the nodal entries in field kon
offset(2,i) | offsets (one for shells, two for beams) in element i
iponoel(i) | pointer for node i into field inoel, which stores the 1-D and 2-D elements belonging to the node.
inoel(3,i) | field containing an element number, a local node number within this element and a pointer to another entry (or zero if there is no other).
inoelfree | next free field in inoel
rig(i) | character*1 field indicating whether node i is a rigid node ('R') or not (' '). In a rigid node or knot all expansion nodes except the ones not in the midface of plane stress, plane strain and axisymmetric elements are connected with a rigid body MPC
AMPLITUDES
nam | # amplitude definitions
amta(1,j) | time of (time,amplitude) pair j
amta(2,j) | amplitude of (time,amplitude) pair j
namtot | total # of (time,amplitude) pairs
For amplitude i |
amname(i) | name of the amplitude
namta(1,i) | location of first (time,amplitude) pair in field amta
namta(2,i) | location of last (time,amplitude) pair in field amta
TRANSFORMS
ntrans | # transform definitions
trab(1..6,i) | coordinates of two points defining the transform
trab(7,i) | =1 for rectangular transformations
| =2 for cylindrical transformations
SINGLE POINT CONSTRAINTS
nboun | # SPC's
For SPC i |
nodeboun(i) | SPC node
ndirboun(i) | SPC direction
typeboun(i) | SPC type (SPCs can contain the nonhomogeneous part of MPCs)
| B=prescribed boundary condition
| M=midplane
| P=planempc
| R=rigidbody
| S=straigthmpc
| U=usermpc
xboun(i) | magnitude of constraint at end of a step
xbounold(i) | magnitude of constraint at beginning of a step
xbounact(i) | magnitude of constraint at the end of the present increment
xbounini(i) | magnitude of constraint at the start of the present increment
iamboun(i) | amplitude number
ikboun(i) | ordered array of the DOFs corresponding to the SPC's (DOF=3*(nodeboun(i)-1)+ndirboun(i))
ilboun(i) | original SPC number for ikboun(i)
MULTIPLE POINT CONSTRAINTS
j=ipompc(i) | starting location in nodempc and coefmpc of MPC i
nodempc(1,j) | node of first term of MPC i
nodempc(2,j) | direction of first term of MPC i
k=nodempc(3,j) | next entry in field nodempc for MPC i (if zero: no more terms in MPC)
xbounmpc(j) | first coefficient belonging to MPC i
nodempc(1,k) | node of second term of MPC i
nodempc(2,k) | direction of second term of MPC i
xbounmpc(k) | coefficient of second term of MPC i
ikmpc (i) | ordered array of the dependent DOFs corresponding to the MPC's DOF=3*(nodempc(1,ipompc(i))-1)+nodempc(2,ipompc(i))
ilmpc (i) | original MPC number for ikmpc(i)
icascade | 0 : MPC's did not change since the last iteration
| 1 : MPC's changed since last iteration : dependency check in cascade.c necessary
| 2 : at least one nonlinear MPC had DOFs in common with a linear MPC or another nonlinear MPC. dependency check is necessary in each iteration
POINT LOADS
nforc | # of point loads
For point load i |
nodeforc(i) | node in which force is applied
ndirforc(i) | direction of force
xforc(i) | magnitude of force at end of a step
xforcold(i) | magnitude of force at start of a step
xforcact(i) | actual magnitude
iamforc(i) | amplitude number
ikforc(i) | ordered array of the DOFs corresponding to the point loads (DOF=3*(nodeboun(i)-1)+ndirboun(i))
ilforc(i) | original SPC number for ikforc(i)
FACIAL DISTRIBUTED LOADS
nload | # of facial distributed loads
For distributed load i |
nelemload(1,i) | element to which distributed load is applied
nelemload(2,i) | node for the environment temperature (only for heat transfer analyses)
sideload(i) | load label; indicated element side to which load is applied
xload(1,i) | magnitude of load at end of a step or, for heat transfer analyses, the convection (*FILM) or the radiation coefficient (*RADIATE)
xload(2,i) | the environment temperature (only for heat transfer analyses
xloadold(1..2,i) | magnitude of load at start of a step
xloadact(1..2,i) | actual magnitude of load
iamload(1,i) | amplitude number for xload(1,i)
iamload(2,i) | amplitude number for xload(2,i)
MASS FLOW RATE
nflow | # of mass flow rates
For mass flow rate i |
nodeflow(1,i) | node from which the mass flows
nodeflow(2,i) | node to which the mass flows
xflow(i) | magnitude of the mass flow rate
xflowold(i) | magnitude of the mass flow rate at start of a step
xflowact(i) | actual magnitude of the mass flow rate
iamflow(i) | amplitude number for xflow(i)
TEMPERATURE LOADS
t0(i) | initial temperature in node i at the start of the calculation
t1(i) | temperature at the end of a step in node i
t1old(i) | temperature at the start of a step in node i
t1act(i) | actual temperature in node i
iamt1(i) | amplitude number
MECHANICAL BODY LOADS
nbody | # of mechanical body loads
For body load i |
ibody(1,i) | code identifying the kind of body load
| 1: centrifugal loading
| 2: gravity loading with known gravity vector
| 3: generalized gravity loading
ibody(2,i) | amplitude number for load i
cbody(i) | element number or element set to which load i applies
xbody(1,i) | size of the body load
xbody(2..4,i) | for centrifugal loading: point on the axis
| for gravity loading with known gravity vector: normalized gravity vector
xbody(5..7,i) | for centrifugal loading: normalized vector on the rotation axis
xbodyact(1,i) | actual magnitude of load
xbodyact(2..7,i) | identical to the corresponding entries in xbody
STRESS AND STRAIN FIELDS
eei(i,j,k) | in general : Lagrange strain component i in integration point j of element k (linear strain in linear elastic calculations)
| for elements with &sstarf#star;DEFORMATION PLASTICITY property: Eulerian strain component i in integration point j of element k (linear strain in linear elastic calculations)
eeiini(i,j,k) | Lagrange strain component i in integration point of element k at the start of an increment
een(i,j) | Lagrange strain component i in node j (mean over all adjacent elements linear strain in linear elastic calculations)
stx(i,j,k) | Cauchy or PK2 stress component i in integration point j of element k at the end of an iteration (linear stress in linear elastic calculations)
sti(i,j,k) | PK2 stress component i in integration point j of element k at the start of an iteration (linear stress in linear elastic calculations)
stiini(i,j,k) | PK2 stress component i in integration point j of element k at the start of an increment
stn(i,j) | Cauchy stress component i in node j (mean over all adjacent elements; "linear" stress in linear elastic calculations)
THERMAL ANALYSIS
ithermal | 0 : no temperatures involved in the calculation
| 1 : stress analysis with given temperature field
| 2 : thermal analysis (no displacements)
| 3 : coupled thermal-mechanical analysis : temperatures and displacements are solved for simultaneously
v(0,j) | temperature of node j at the end of an iteration (for ithermal 1)
vold(0,j) | temperature of node j at the start of an iteration (for ithermal 1)
vini(0,j) | temperature of node j at the start of an increment (for ithermal 1)
fn(0,j) | actual temperature at node j (for ithermal 1)
qfx(i,j,k) | heat flux component i in integration point j of element k at the end of an iteration
qfn(i,j) | heat flux component i in node j (mean over all adjacent elements)
DISPLACEMENTS AND SPATIAL/TIME DERIVATIVES
v(i,j) | displacement of node j in direction i at the end of an iteration
vold(i,j) | displacement of node j in direction i at the start of an iteration
vini(i,j) | displacement of node j in direction i at the start of an increment
ve(i,j) | velocity of node j in direction i at the end of an iteration
veold(i,j) | velocity of node j in direction i at the start of an iteration
veini(i,j) | velocity of node j in direction i at the start of an increment
accold(i,j) | acceleration of node j in direction i at the start of an iteration
accini(i,j) | acceleration of node j in direction i at the start of an increment
vkl(i,j) | (i,j) component of the displacement gradient tensor at the end of an iteration
xkl(i,j) | (i,j) component of the deformation gradient tensor at the end of an iteration
xikl(i,j) | (i,j) component of the deformation gradient tensor at the start of an increment
ckl(i,j) | (i,j) component of the inverse of the deformation gradient tensor
LINEAR EQUATION SYSTEM
ad(i) | element i on diagonal of stiffness matrix
au(i) | element i in upper triangle of stiffness matrix
adb(i) | element i on diagonal of mass matrix, or, for buckling, of the incremental stiffness matrix (only nonzero elements are stored)
aub(i) | element i in upper triangle of mass matrix, or, for buckling, of the incremental stiffness matrix (only nonzero elements are stored)
neq[0] | # of mechanical equations
neq[1] | sum of mechanical and thermal equations
nzl | number of the column such that all columns with a higher column number do not contain any (projected) nonzero off-diagonal terms ( neq[1])
nzs | sum of projected nonzero off-diagonal terms
nactdof(i,j) | actual degree of freedom (in the system of equations) of DOF i of node j (0 if not active)
INTERNAL AND EXTERNAL FORCES
fext(i) | external mechanical forces in DOF i (due to point loads and distributed loads, including centrifugal and gravity loads, but excluding temperature loading and displacement loading)
fextini(i) | external mechanical forces in DOF i (due to point loads and distributed loads, including centrifugal and gravity loads, but excluding temperature loading and displacement loading) at the end of the last increment
finc(i) | external mechanical forces in DOF i augmented by contributions due to temperature loading and prescribed displacements; used in linear calculations only
f(i) | actual internal forces in DOF i due to :
| actual displacements in the independent nodes;
| prescribed displacements at the end of the increment in the dependent nodes;
| temperatures at the end of the increment in all nodes
fini(i) | internal forces in DOF i at the end of the last increment
b(i) | right hand side of the equation system : difference between fext and f in nonlinear calcultions; for linear calculations, b=finc.
fn(i,j) | actual force at node j in direction i
INCREMENT PARAMETERS
tinc | user given increment size (can be modified by the program if the parameter DIRECT is not activated)
tper | user given step size
dtheta | normalized (by tper) increment size
theta | normalized (by tper) size of all previous increments (not including the present increment)
reltime | theta+dtheta
dtime | real time increment size
time | real time size of all previous increments INCLUDING the present increment
DIRECT INTEGRATION DYNAMICS
alpha,bet,gam | parameter in the alpha-method of Hilber, Hughes and Taylor
iexpl | =0 : implicit dynamics
| =1 : explicit dynamics
FREQUENCY CALCULATIONS
mei(0) | number of requested eigenvalues
mei(1) | number of Lanczos vectors
mei(2) | maximum number of iterations
fei(0) | tolerance (accuracy)
fei(1) | lower value of requested frequency range
fei(2) | upper value of requested frequency range
CYCLIC SYMMETRY CALCULATIONS
mcs | number of cyclic symmetry parts
ics | one-dimensional field; contains all independent nodes, one part after the other, and sorted within each part
rcs | one-dimensional field; contains the corresponding radial coordinates
zcs | one-dimensional field; contains the corresponding axial coordinates
For cyclic symmetry part i |
cs(1,i) | number of segments in
cs(2,i) | minimum nodal diameter
cs(3,i) | maximum nodal diameter
cs(4,i) | number of nodes on the independent side
cs(5,i) | number of sections to be plotted
cs(6..12,i) | coordinates of two points on the cyclic symmetry axis
cs(13,i) | number of the element set (for plotting purposes)
cs(14,i) | total number of independent nodes in all previously defined cyclic symmetry parts
cs(15,i) | cos(angle) where angle = 2*/cs(1,mcs)
cs(16,i) | sin(angle) where angle = 2*/cs(1,mcs)
cs(17,i) | number of tie constraint

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