INFL?EN?E ana?ysis d?a?s ?it? t?? ??mp?tati?n ?ƒ param?t?rs t?at

INFL?EN?E ?HE L????I?N ?N? ?R??? ?NGLE
?N ?HE S?RESS IN?ENSI?Y F????R

Naja? R?st?m
M??sin

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So?t??rn ????ni?al
?ni??rsity,
????ni?al Instit?t?-Nasiriya,

M???ani?al ????ni?s
??partm?nt, Nasiriya,
??e_Qar,
Iraq

Abstra?t: ??is pap?r d?a?s ?it?
t?? ?ƒƒ??t ?ƒ ?ra?? ?b?iq?? and its ???ati?n ?n t?? str?ss int?nsity ƒa?t?r m?d? ? (??) and ??(???) ƒ?r a ƒinit? p?at? s?bj??t?d t? ?niaxia?
t?nsi?n str?ss. ??? pr?b??m is s????d n?m?ri?a??y ?sing
ƒinit? ???m?nt s?ƒt?ar? ?NSYS R15
and t???r?ti?a??y ?sing
mat??mati?a??y ?q?ati?ns.
A g??d agr??m?nt is ?bs?r??d b?t???n t?? t???r?ti?a? and
n?m?ri?a? s???ti?ns in a?? st?di?d ?as?s. ?? s??? t?at in?r?asing t?? ?ra?? ang?? ?  ??ads t? d??r?asing t?? ?a??? ?ƒ ??& t?? maxim?m
?a??? ?ƒ ??? ????rs
at ?=450.
F?rt??rm?r?, ??? ?q?a? t? ??r? at ? = 00
and 900 ??i?? ?? ?q?a? t? ??r? at ? = 900.
H?????r, t??r? is n? s?nsiti?? ?ƒƒ??t t? t?? ?ra?? ???ati?n
??i?? t??r? is a ??nsid?rab?? ?ƒƒ??t ?ƒ t?? ?ra?? ?b?iq??.

??y ??rds: ?ra??, ang??, ???ati?n,
t?nsi?n, ?I,
???, ?NSYS R15.

I.                        
IN?RO????ION

Fra?t?r? ?an b? d?ƒin?d as t?? pr???ss ?ƒ ƒragm?ntati?n ?ƒ a s??id
int? t?? ?r m?r? parts ?nd?r t?? str?ss?s a?ti?n.
Fra?t?r? ana?ysis
d?a?s ?it?
t?? ??mp?tati?n
?ƒ param?t?rs t?at ???p t? d?sign a str??t?r? ?it?in t?? ?imits ?ƒ ?atastr?p?i?
ƒai??r?. It ass?m?s t?? pr?s?n?? ?ƒ a ?ra?? in t?? str??t?r?. T?? st?dy ?ƒ ?ra?? b??a?i?r
in a p?at? is a ??nsid?rab?? imp?rtan?? in t?? d?sign t?
a??id t?? ƒai??r? t?? Str?ss int?nsity ƒa?t?r in?????d in ƒra?t?r? m???ani?s
t? d?s?rib? t?? ??asti? str?ss ƒi??d s?rr??nding
a ?ra?? tip.

Has?b? &
In??ara 1 ana?y??d t?? r??ati?ns
b?t???n t?? str?ss int?nsity ƒa?t?rs & t?? ang?? ?ƒ t?? ?b?iq?? ?dg? ?ra?? ƒ?r a s?mi-inƒinit? p?at?. ?????aris & papad?p????s 2 ?s?d t?? ?xp?rim?nta? m?t??d ?ƒ r?ƒ???t?d ?a?sti?s
t? st?dy t?? inƒ???n?? ?ƒ t?? g??m?try ?ƒ an ?dg?-?ra???d p?at? ?n str?ss int?nsity ƒa?t?rs ??&
???. ?im & L?? 3 st?di?d ??& ??? ƒ?r an ?b?iq?? ?ra?? ?nd?r n?rma? & s??ar tra?ti?n & r?m?t? ?xt?nsi?n ??ads
?sing ABAQ?S s?ƒt?ar? &
ana?yti?a? appr?a?? a s?mi-inƒinit? p?an? ?it? an
?b?iq?? ?dg? ?ra?? & an int?rna? ?ra?? a?t?d ?n by
a pair ?ƒ ??n??ntrat?d ƒ?r??s at
arbitrary p?siti?n is st?di?d by
Qian & Has?b? 4. ?im?ra & Sat? 5 ?a????at?d ??&
??? ?ƒ t?? ?b?iq?? ?ra?? initiat?d ?nd?r ƒr?tt ing ƒatig?? ??nditi?ns.
F?tt  &
Ri??i 6 d?s?rib?d t?? str?ss int?nsity ƒa?t?rs ?nd?r ?ari??s ?ra?? s?rƒa?? tra?ti?ns
?sing an ?b?iq?? ?ra?? in a s?mi-inƒinit? b?dy. ???i
7 st?di?d t?? ?ƒƒ??t ?ƒ ?ra?? ?ri?ntati?n ang?? ƒ?r ?ari??s mat?ria? & g??m?tri? ??mbinati?ns
?ƒ t?? ??ating/s?bstrat? syst?m ?it? t?? grad?d int?rƒa?ia? ??n?. G???? ?t a? 8 ?a????at?d t?? str?ss int?nsity ƒa?t?r ?ƒ m??tip?? straig?t & ?b?iq?? ?ra??s in a
ri??t ????. ????i? ?t a? 9
??a??at?d ?? n?m?ri?a??y ?sing ?in? strain m?t??d & t???r?ti?a??y.
R???nt??ty, M??sin 10 & 11 st?di?d t???r?ti?a??y & n?m?ri?a??y t?? str?ss int?nsity ƒa?t?rs m?d? I ƒ?r ??nt?r, sing?? ?dg? & d??b?? ?dg? ?ra???d ƒinit? p?at? s?bj??t?d t? t?nsi?n str?ss .

patr i?i
& Matt ??ij 12
m?nti?n?d t?at, ?? ?an disting?is? s???ra? mann?rs in ??i?? a ƒ?r?? may b? app?i?d t? t?? p?at? ??i??
mig?t ?nab?? t?? ?ra?? t? pr?pagat?. Ir?in pr?p?s?d a ??assiƒi?ati?n ??rr?sp?nding t? t?? t?r?? sit?ati?ns
r?pr?s?nt?d in Fig.1. A???rding?y, ?? ??nsid?r t?r?? distin?t
m?d?s: m?d? I, m?d? II & m?d? III. In t?? m?d? I, ?r ?p?ning m?d?, t?? b?dy is
??ad?d by t?nsi?? ƒ?r??s, s??? t?at t?? ?ra?? s?rƒa??s ar? p????d apart in t?? Y dir??ti?n. ??? m?d? II , ?r
s?iding m?d?, t?? b?dy is ??ad?d by ?r??s para???? t? t?? ?ra?? s?rƒa??s, ??i?? s?id? ???r ?a?? ?t??r in t?? x dir??ti?n. Fina??y, in t?? m?d? III , ?r
t?aring m?d?, t?? b?dy is
??ad?d by s??ar ƒ?r??s para???? t? t?? ?ra?? ƒr?nt t?? ?ra?? s?rƒa??s, & t?? ?ra?? s?rƒa??s s?id? ???r ?a?? ?t??r in t?? ? dir??ti?n.