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Vt liu H s Poisson

M dun n hi

(Young's Modulus)

(1 GPa = 1k!""#)

$ao su %&% %&%1%&1

Polt*t+a,luo+o*thl*n* %&

-.i gi/ 0 t+2ng l3.ng +i4ng t+ung 56nh 7lon #7

G8 thng % 9&:;ng ? 0ao d3@i tA0 dBng nCn %% ng Lu4n) khi 0 "?t lO0 3.0 tA0 ?ng l4n n&M un n hi 0Ta "?t It thW 3.0 LA0 nh 5Xng ? d0 0Ta 3>ng 0ong Kng su/t5in dEng t+ongIng 5in dEng n hiZ

[ \ ] (la"5da) l " un n hi^ Kng su/t l lO0 g\ +a 5in dEng 3.0 0hia 0ho din t0h " lO0tA0 ?ng Io^ I 5in dEng l t_ s sO tha `i 3.0 g\ +a 5[i Kng su/t 0ho t+Eng thAi 5an u 0Tai t3.ng&

u Kng su/t 3.0 o th*o Fn I as0al th65in dEngl "?t t_ s khng thK ngu4nb khi Fn I0Ta ] 0cng las0al& Nh*o "?t nh ngha khA0b " un n hi l 5in dEng 0n thit W l" 0ho"?t "eu It liu tfng g/ i 0hiu di 0Ta n& iu n l khng thO0 t i I@i hu ht 0A0 It liu

5[i giA t+ l l@n hFn nhiu so I@i t+3>ng Kng su/t 0Ta It liu hoU0 tEi iW" nFi sO kCo di t+[ n4nkhng tun tnhb nh3ng "?t s ng3>i 0 th th/ nh ngha n t+O0 uan hFn&1j

M un n hi l Ei l3.ng U0 t+3ng 0ho tnh n hi 0Ta It +Qn& h s hB thu?0 0Ta 5in dEngIt +Qn Io Kng su/t tA0 ?ng l4n n&

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N+ong t+3>ng h. Kng su/tb 0h 0 "?t thnh hn mb " un n hi 0hnh l h s t l gia Kngsu/t m I 5in dEng di t3Fng i p th*o 0ng thK0 m = &pb 3.0 g2i l " un n hi ("unY\ng)& M un n hi 0 thK ngu4n 0Ta Kng su/t (lO0 t+4n din t0h)& M un n hi 0Ta "?t It

hB thu?0 Io thnh hn hoA h20b uA t+6nh Lq lb iu kin nhit ?b II& N+ong iu kin 56nhth3>ngb " un n hi 0Ta sQt l #b1&1%; kG!0"#b 0Ta ng l 1b1&1%; kG!0"#b 0Ta nh" l%bJ&1%; kG!0"#j

Cc loi m un n hi

Vi0 nh +r Kng su/t I 5in dEng 3.0 o nh3 th nob 5ao g" 0S 0A0 h3@ngb 0ho hC LA0 nh"?t s loEi " un n hi& $ 5a loEi 0F 5Sn lZ

M un Young ()Z " tS n hi dEng kCob hoU0 Lu h3@ng 0Ta "?t It thW 5 5in dEng d20th*o "?t t+B0 khi 0A0 lO0 kCo 3.0 Ut d20 th*o t+B0 ^ n 3.0 nh ngha 5Xng t_ s giaKng su/t kCo 0ho 5in Eng kCo& 0cng th3>ng 3.0 kW n "?t 0A0h Fn giSn 5Xng t4n "un n hi&

M un 0Qt (G hoU0 b) "i4u tS Lu h3@ng 0Ta "?t It thW 5 0Qt (h6nh dEng 0Ta 5in dEng I@ithW t0h khng `i) khi 5 tA0 ?ng 5[i 0A0 lO0 ng3.0 h3@ng^ n 3.0 nh ngha 5Xng Kngsu/t 0Qt 0hia 0ho 5in dEng kCo& M un 0Qt l "?t hn ngun g0 0Ta tnh do(th*d*+iIation o, Iis0osit)&

M un khi (D) " tS 5in dEng thW t0hb hoU0 Lu h3@ng thW t0h 0Ta "?t It thW 5 5indEng d3@i "?t A lO0^ n 3.0 nh ngha 5Xng t_ s Kng su/t thW t0h 0hia 0ho 5in dEng thWt0hb I l ngh0h So 0Tah s nCn(0o"+*si5ilit)& M un thW t0h l t+3>ng h. sO "[+?ng 0Ta " un Young t+ong khng gian 5a 0hiu&

$A0 " un n hi khA0 l h s Poissonb0A0 thng s 5an u 0Ta a"C'b I " un sng P&

$A0 loEi It liu ng nh/t I ng h3@ng (nh3 nhau [ t/t 0S 0A0 h3@ng) 0 0A0 U0 tnh n hi(tun tnh) 0Ta 0hvng 3.0 " tS T 5[i hai " un n hib I "?t t+ong s 0 thW 0h2n"?t s 0U& $ho "?t 0U " un n hib t/t 0S 0A0 " un n hi khA0 0 thW 3.0 tnh toAn th*o0A0 0ng thK0 t+ong 5Sng 54n d3@i&

$A0 0h/t lwngkhng nh@tl U0 5it khi 0hvng khng h8 t+. Kng su/t kCob 0 ngha l " un 0Qtlun lun 5Xng khng I t+ong t+3>ng h. n " un Young lun lun 5Xng khng& 1j

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H s Poisson

H s Poissonha t s Poisson(k hiu l x) 3.0 Ut th*o t4n nh It l -i"Cony*nis Poissonl ts gia ?5in dEnghng (? 0ob 5in dEng 0o) t3Fng i I 5in dEng d20 t+B0 t3Fng i (th*o

h3Fng tA0 dBng lO0)&

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Meu h6nh 0h nht 0hu nCn I@i h s Poisson Io khoSng %&

Dhi "?t "eu It liu 5 kCo (hoU0 nCn) th*o "?t h3Fng th6 n th3>ng 0 Lu h3@ng 0o lEi (hoU0 gizn+a) t3Fng Kng th*o h3Fng Iung g0 I@i h3Fng tA0 dBng lO0 nh3ng 0cng 0 t+3>ng h. It liu n[+a khi 5 kCo I 0o lEi khi 5 nCn& H s Poisson l W "i4u tS 0ho Lu h3@ng n&

H s Poisson 0Ta It liu thng th3>ng nX" t+ong khoSng (1b%^ %b)& H s Poisson 0Ta hn l@n

It liu nX" t+ong khoSng (%b%^ %b) nh3Z5/0Z gn %^ thCZ %b

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? tha `i thW t0h t3Fng i V!V0Ta It kiu do 5 kCo gizn0 thW tnh th*o 0ng thK0 giSn l3.0(0h khi 5in dEng l nhw)Z

I@i

VthW t0h~V? tha `i thW t0hL0hiu di 5an u~L? tha `i 0hiu di&

H s Poisson c($ m)t s *t liu

+t li,u H s Poisson

$ao su %b%

/t sCt5zo h}a %b7%%b%

Magi4 %b