ABSTRACT

Proceedings of the France-US Workshop on Strain Localization and Size Effect due to Cracking and Damage, Laboratorie de Mecanique et Technologie, Cachan, France, 6-9 September 1988.

part 37|1 pages

0-20 -4 50 - 60-70 -8 0 -9

chapter 38|17 pages

4

chapter 67|10 pages

Final Aperture r_-_-_ i - Magnification = L/1

Ideal Spot Size

chapter 110|25 pages

tt t t

chapter 135|46 pages

0 if d = 0f(d) = 1 (lnd-m) ifd>o

d f(d) d(d) r)=Fv f +00 d f(d) d(d)

chapter 192|59 pages

Bifurcation of Equilibrium Path

b. 9 — 4 "/z 'A/2

chapter |14 pages

rE :e(w):e(w)tho -h (3 <13

E:a:E(w) >2 - ild.wdo) - ft' d.w ds (11) where S2 / f = 0 ). c) Existence and uniqueness results i) A sufficient condition for problem (Q) to have solutions is that the operator A be monotone from V to V'and coercive [15]. The operator A is said to be monotone from V to V' if (A (v) — A (w),v

chapter |39 pages

Sta = a (8x.n)

(38) his important to notice that not only the strongest discontinuity type [u] may be computed but u] may also be computed by a recurrent process : (X,+µ)([dnu].n)n+ li[dnui Inv] G =BO (ND (39) The same analysis will provide information for [d 210]. APPLICATION TO POROUS DILATANT MATERIAL

chapter 304|57 pages

Ni-g2

chapter 361|24 pages

(a) (b)

chapter 1|6 pages

. 5 -N ( 1e9e8d4l ) emanandTvergaard

chapter |43 pages

"1-D)A: a a=( 1 D=f(E)

Figure 5 illustrates the proposed multiscale approach intense acoustic emmision zone Elementary volume elementary volume

chapter 465|26 pages

K iNmax = aD1/2 S(ao/D)

chapter 511|30 pages

-

part 541|1 pages

CHAOS ?

chapter |5 pages

Time

chapter 547|4 pages

LIST OF WORKSHOP PARTICIPANTS