From (20) we get:
∂w
^∂E
α(l-ξ) (ad∖i-a ξ ɑ(ɪ-g)__1 ɑ(i-g) / ∕3 (1 - 5) (1 - ∕35)∖ «
---+ ,ʌ . l-α — At-aE 1L t~a n-ʌ----'-÷---Я
(l-5)(ξ-α)k j∖ξJ к (1 + /3 -2Я) J
ξ-a(ξjrθ') aη α(ξ+η + 0)-ξ
• (α (ξ + θ) — ξ) t~a (aη)a~t (α (ξ + η + θ) — ξ) =
α (I-A) , . f ad∖ . ξ , a(2-⅞-⅜)-⅞(i-⅜) ɑ(:
-t) I β (1 — 5) (1 — βδ) ∖ i~a
к (1+ /3-2/35)2 J
—---777-----r (1 — a) I — I At-aE (1-'W-α=) L t
(l-5)(ξ-a)k j∖ξJ
ξ-a(ξ + θ) aη a(ξ+η + 0)
∙(a(ξ + 6l)- ξ) i-a (μη)a~t (a (ξ + η + θ) — ξ) t-<*
and then:
∂w
^∂L
![](https://corpapers.com/jobo/0/img/768_img35_files/768_27304142383d3035-1.png)
, ξ <*(l-ξ) t*(l-ξ)
At-a E <1-δ×t-a'> L i-a
a(l —ξ)
1 (∕3(ι - 5) (ι -Як ξ-a
к (1+/3-2/35)2 J
ξ-a(ξ + 0) art a(ξ+η + 0)-ξ
∙(a(ξ + 6,)- ξ) i-a (μη)a~t (a (ξ + η + θ) — ξ) t^a =
![](https://corpapers.com/jobo/0/img/768_img35_files/768_27304142383d3035-2.png)
j ɪ O=(I-C) a(2-ξ)-ξ
√4c~a≈ F∕(ι-'5)(ξ-°≈) + ξ-a!
•(« (ξ + θ')~ξ')
ξ-a(ξ+^)
ξ-a
р(1-5)(1-Я\
к (1+/3- 2/35)2 J
<*(l-ξ)
ξ-O!
(aη)a-i {a{ξ + η + θ) - ξ)
a(,ξ+-η + θ)-ζ
ξ-O!
and also:
∂w
∂A
![](https://corpapers.com/jobo/0/img/768_img35_files/768_27304142383d3035-3.png)
![](https://corpapers.com/jobo/0/img/768_img35_files/768_27304142383d3035-4.png)
![](https://corpapers.com/jobo/0/img/768_img35_files/768_27304142383d3035-5.png)
i-i--ι a(1-i) . ɑ(ɪ-e)
Ai-°t E(1—<5)(€—α=) L i-a
ξ-α(ξ+0)
ξ-α
/∕3 (1-5)(1-Як
к (1+ /3-2/35)2 J
∙(α (e + 0)-O
(aη)a-i {a{ξ + η + θ) - ξ)
a(,ξ+-η + ff)-ζ
ξ-O!
![](https://corpapers.com/jobo/0/img/768_img35_files/768_27304142383d3035-6.png)
![](https://corpapers.com/jobo/0/img/768_img35_files/768_27304142383d3035-7.png)
![](https://corpapers.com/jobo/0/img/768_img35_files/768_27304142383d3035-8.png)
, a t*(1-ξ)
Ai-a F/(1-,5)(€-“)
ξ-a(ξ+^)
ξ-a
, <*(l-ξ)
L i-a
p (1-5)(1-Як
к (1+ /3-2/35)2 )
ξ-O!
•(« (ξ+θ')~ξ')
(aη)a-i {a{ξ + η + θ) - ξ)
a(,ξ+-η + ff)-ζ
ξ-O!
and finally:
∂w
∂d
a __ɪ c⅛(-
о /d , βad∖i-a a λ ς ι,r ≈(i-⅞) - ɑ(ɪ-g) //3 (1 — 5) (1 — /35) ∖ ~
----(l-α) — Ai-aE<ι-δ×t-^L i-a —---ʌʌ---Я
к < J ξ к (1 + /3-2Я J
ξ-a(ξ + θ) aη α(ξ+jj + 0)-ξ
∙(α(ξ + 6,)- ξ) i-a (aη)a-i (о (ξ + η + θ) — ξ) i^a =
![](https://corpapers.com/jobo/0/img/768_img35_files/768_27304142383d3035-9.png)
![](https://corpapers.com/jobo/0/img/768_img35_files/768_27304142383d3035-10.png)
ξ-θ!
2a-ζ
. € α(1 -¢)
Ai-a E<1-δ∕⅛-≈)
р (1-5)(1-Як
к (1 + /3-2Я2 J
•(« (ξ + θ)-ξ)
ξ-α(ξ+^)
ξ-a
(aη)^i (a(ξ + η + θ)-ξ)
a(,ξ+-η + θ)-ζ
ξ-O!
35