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Het beschrijven van zowel geometrisch als fysisch niet-lineaire

metaalplasticiteit met de elementenmethode

Citation for published version (APA):

Sitters, C. W. M. (1983). Het beschrijven van zowel geometrisch als fysisch niet-lineaire metaalplasticiteit met de elementenmethode. (TH Eindhoven. Afd. Werktuigbouwkunde, Vakgroep Produktietechnologie : WPB; Vol. WPB0001). Technische Hogeschool Eindhoven.

Document status and date: Gepubliceerd: 01/01/1983 Document Version:

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o/J

Ie

vattm

~~~And ~. lJ~dL ~­

~

t/t:IM

P

V

F'i :

--mel:

;-;:-. JC XC T

e

{J7Vj= 1R

V

(98)
(99)

6.'1

(6.5.2)

(6.

s:

5)

(6.5'.6)

(100)

/h1d:

(6.5.&)

(6.5.9 )

(t.S.tO)

(101)

6.9

(6.5.1. 2)

(6.5.13)

(102)
(103)

'7.2

,..\

~11

11

11

11

11

11

C

(J'

=

IL :

D

+

W.

q;

+

(f).

tw

I 1\ I'll 11

IJ:I:D

('12..6)

~ =

2G//¥Jl

+

v

[ ' '1.-2.Y

A.

r1.

11

.:. f _

1.

(f) :

.J)

e -

-:J.+f/-

or"

11

c.-fAd)

][ ][J:]) -

2

ff

aO"v

(104)

.

? 1\ ~

11

;:;.70.

et.

=

..D1Z.t

=

0

(1.

2 .11) ~f ~-2V £. __ -~ ....;:;....~- v,.

e

e

i.-V

go:

In

t

t

3

V

..!.I'

-1.-2V

_e_

cr

-1. - Y

£

cr:.

In-3

V

(7-

2.t3)

(105)
(106)

_

~3

Ad

/1

d 7

," (tf).:

-~.:

rtf

(107)

fiiJ/:!

o~ -,fIEt.~

-

~.o~;,~c

+

lj.I1j.7tf~-o$j

dV

=

(108)

G(1.

-Ltv )

a,

=

?

3

-t

_~y

-

1.

(1.

3.5)

--m,d:

,

(109)

~vwn

(7.3.7)

inrr-:J·6j

FIt

~:

('1.

3.

9)

(110)
(111)

&.2

(112)

-.

~T

?=

1

If

(803.1.)

~~T ~

(.c

=

I

i -;

C

::J[

(113)

(~3.5)

(t:9.

3.6

J

(0'.3·7)

(~ir9)

(114)

~

m

(~3,10}..en (d'.'3.1)~:

(tfJ.

3.1.2)

(0'.3.1.fJ)

(o:?

3.1"1)

(115)

&.6

(f11.

3.

t

6)

((?,

1.'1'1)

(t9.

'3.1.

c9)

17

r

+

C..eX

- C

tz

0

rJ

-1

V:t

j,

-c

+

C1 ".

0

V'J

- Ie;.

X

C; /

zr

2.

V"t

0

0

a/C;*C;I

{i~ 3 4=

t

J

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MZ-~

a=;".

J~i/~-~

(!J.

3.

t

g)

(116)

'1

1-f(P,tjdV=

/fi([,tj~aJ/C;t$:~i/,,!ti~

(117)

!I(f,fJdV=

11.

1

'I

-1'l 1't

:1-"

~r.fIt~· 'I(~il ~jJ

t)

't(

~l'I;)/c:t(~i)~j):tSi(~l" ~j)/

1.=

t

/::.1.

J J

(d'.~6)

}r1,t

J

d1!

=

lUi

't

1Jt*

~~

«.H).

'If

~t'I{ilt)~(~i/~) /Cd(~iJ ~j)t

C;t({iJ

t.;/

I.~t

J=1.

J ;; "J '7

(118)
(119)

"1

9.2

~.g.z.1. J~~cIt,~

/h1d

vUr

mtur-tu-~.

~

=

f(t-

'J)(i-r,)

~::;

( i f

'§j(-t-1)

~=

:

(t

f

J)(

1.

f

Jr)

~::~ (~-1)(i+,?)

(g.2.:1)

(9.2..2)

(9.:i.3)

(120)

~,

t)::

(~'/~)}

~

T

T

14 :::

A IV

=

IV

A

" ' _ AJ N

..md:

(9.3.1.)

&.3.2)

(9.

3 .3 )

(121)

g.~

4f(1f))d1/~O

U

't

Vt

t

(122)
(123)
(124)

ICONV

INTEr;

IRE8T

ISIGHA

: ICONV=

1.

~

aanM

~ - ~

0

vd-daan/

~

:rCONV== o.

: fJaAUaL

~ um.un.~aaId ~.

: IREST=-:1.

a40n

~-fi.1t II~

/JnOd;

Wt7td#z1

~

~: IREST=O.

: ISIGHA ..

~ ats..u~ ~

¥/

(125)

10.11

ITER :

~

vwn

tiL

i.£u.at:U-~.

::JPLAS ,.

~dU~1Q/YL~a!~

/JUet~u:

:JPLAS=

OJ~t1~

:JPLAS

=

1

I

~~~~

!1PI-AS =-i J

~0~;~0

wd~ ~

(cmdad"j.

HELEM

:

tiantal~.

NOR.M

VERN

NSU/3

NTYPE

NSTAP

(126)

w

/{

-1.1.1.

lJe~

ffF'EP

Jk.L~-Ua:dk~~.

SLIBROUTINE ffFEP

{~-Mt-~}

(~1/rMt..

IllESTPt

tiL.

4faa,m.

(~)

tIt»t

tit

~-f1e6

j

CALL INIr(i. , HELEM)

ISIGHA=-O

j

ITER

=-

0

IF (IlleST. Eq. 1.) Goro

i.1.i.

{!JrwoGI.

van

HTYPE.In

Mt·

~ ~ dL

tiiJil

to}

CALL TOPOl-

(1.,

;rELEM, eoo~, IWOIV<)

C

7ipd

I/rbtciL~PnM-tdt~ ~!I ~

t:t

o •

Goro

333

{ Jt.tnB;1.I'. . /IrMt

tiL

~-

r--/

. . f J l , '

~

o.

a... :

!!

i

I

I /

i

Z

J.

~

tl,;UL./11/. /\

Ei

:k

ef.en

!lPLAS

'pu"~puni;1tid-u~ ~

c=c.t}

ISIGHA

=

1.

.333 CAi-L I3V~Ll.I-:/.(kELEH, }(130UNDrIWOIlI<)

CALL COHffAT(1.1KELE~ f(130UNIJ, IIVTHAT)

It:

(.rilE

Sr. Et¥.:I.) GOro .222

[lhwou

I/MttU

~~/~.e-n~]

(127)

10.6

c

J)d-

~

m

dat

;::;J

1J1t=

, . ; , v

7

J..=

0

~

a1U

, v

&-::

,..,0 .Qn

i~=

JPt.JJS

~ o.

Z22

{~tmM.rLt.~~$?!~}

{~

1/Mt.Jut

aa:ntaL

~

NSrJ9P}

{ !Jna>ef

l/f)#t

dt.

YEll M}

{~f/tJll'tk~~ ~ ~

A/OI<.H}

{~tIafIt

A!f.,l.,m,

AJ;'

/J11d

tIL

~

~-*~-&11-~j

{~

t/lU1.

A,Y

J,

~ ~TJ.

/J'nt-t

tlEI2H}

c!Ak~kr~kr4hdfl~~'

.00 ~OO .JST/1P::;1.1 NSTAP

ITA.::

r.&

f A.

T

~j

~IV -v N

50

{~Q.tf._I~-

gAj

.

(eont;uU

op

~~

/

~

f/&W1, ICO/VV

j

..IF(LCONv.e(f.-1.) GOTO

90

I

TE.f?::;

ITER.

+:J..

{~I/twt HArIlIXIB.podl:dt~~

K]

{~

f/tU1

SOJ...YE

I

~aalt

A.

J1

f

0:

If

~~=

Ll!J:ij

{l1,Yf=

AJLf+A~A}

{~van S/GHA/~p.;-~a!IL§J

t.

lP.ur,

:lPLIiSJ . .

I

SI

GI1.4:=

-1

{~

I//J,n.

IZHSIl)E:/~

gAud-tit

~}

C RHSl/)E

J«(>l

ELRHS

aon;

duu~geui,fdt. ~ff;

GOTO 50

90 CONTIAltlE

"l

J.

,,{

{~

=

~

+

AJlt ]

{~

tIrAM

atlL

SJ

ud

i

pu-~atU~ ~­

*

HM.,

J}d-

~

a.1ltwt

an

~

VfAAIl

tiL

~

]

-1.00 CONTINUE

{~/J(JMdL~jdt

And

o.o.·g~I1~J..t41atft

i

e~

*

:JPl.f1S

F

~~

J

CIiLL EXIT

srop

EN/:)

(128)

{~.t4t.~}

{/{ =

gf

c~r;

{/3qJ~

VMZ

15

~

uiC

~

-l,

~M

aNi

~

tU

~ ~}

Ir (MTYPE. EQ.1.. OR.

3) CALL

ZETA

t

(USER

J

C

.I'k

~

ZETAt

~dt. ~:

:r=,;_

E.

-r;..!D.//

za

J&z

to.

9

N

y,,-

J=-J. -)

j

DO 200 J'Nr=

l.J~

"

{W=O}

{~{;fMldt~l/!»tdt~1f#t

/DJJ

{~1/lWZ

f

qnd

t4zt.

~}

[I'.t.tun

I/tbn JPt.AS

vr:.n

de

~

auatU

-~J

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