Finite Element Analysis - Thermomechanics of Solids Part 3 ppsx

... dS ∫∫ =       0749_Frmae_C 03 Page 43 Wednesday, February 19, 20 03 5:01 PM © 20 03 by CRC CRC Press LLC 44 Finite Element Analysis: Thermomechanics of Solids 2. δ ( f ) vanishes ... () , 1 11 λ 0749_Frmae_C 03 Page 47 Wednesday, February 19, 20 03 5:01 PM © 20 03 by CRC CRC Press LLC 46 Finite Element Analysis: Thermomechanics of Solids N...

Ngày tải lên: 11/08/2014, 04:20

... ,,ee e, e e e e e e e e e e e e e fkukukuku fkukuk + + + + + + + + + + + + + + + =+++ =++ 14 21 11 2 21 12 2 22 13 2 23 14 2 24 32 21 3 31 2 2 3 32 2 , ,,,,,,,, ,, ,, , () () () () () () ,, , , ,3 3 33 24 3 34 () ()e e e e uku + + + + + uu uu uu uu uuuuuuuu uuuuuuu ... 2 2 3 5 4 6 11 2 12 3 13 4 14 5 21 5 22 4 23 9 24 8 31 6 32 →→→→ →→→→ →→→→ →→ ++++ ++++ ++ uuu uu u ee...

Ngày tải lên: 11/08/2014, 04:20

... CAB 3 T 3 T 3 TT 3 TT 22 22 22 0749_Frame_C02 Page 38 Wednesday, February 19, 20 03 5:00 PM © 20 03 by CRC CRC Press LLC 30 Finite Element Analysis: Thermomechanics of Solids from which (2 .33 ) The ... .A B C D AC BD⊗⊗=⊗ 0749_Frame_C02 Page 33 Wednesday, February 19, 20 03 5:00 PM © 20 03 by CRC CRC Press LLC 38 Finite Element Analysis: Thermomechanics...

Ngày tải lên: 11/08/2014, 04:20

... Wednesday, February 19, 20 03 5 :33 PM © 20 03 by CRC CRC Press LLC 60 Finite Element Analysis: Thermomechanics of Solids and (4 .37 ) The divergence of v is given by trace(L), thus, (4 .38 ) which is again ... February 19, 20 03 5 :33 PM © 20 03 by CRC CRC Press LLC 66 Finite Element Analysis: Thermomechanics of Solids Note the following: (4.62) Consequently, in...

Ngày tải lên: 11/08/2014, 04:20

... constraint (6 .38 ) ′ =− [] −− = ′ =−       − == ′ =−       − = wII p I s w cI I I I c p I c s w cI I I I c p I c α α α 13 13 3 1 13 13 1 3 43 3 1 3 1 2 23 13 1 3 43 3 2 3 2 3 2 1 22 11 3 022 11 3 0 / [ ] (a) d d (b) d d (c) ss w cI I I I c p I c 3 33 13 1 3 43 3 3 3 3 22 11 3 = ′ =−       − d d (d) α d d ′ =→ ... invariants I 1 ,...

Ngày tải lên: 11/08/2014, 04:20

... 19, 20 03 5:07 PM © 20 03 by CRC CRC Press LLC 114 Finite Element Analysis: Thermomechanics of Solids in which B T is the thermal analog of the strain-displacement matrix. Upon substitution of the ... Page 1 13 Wednesday, February 19, 20 03 5:07 PM © 20 03 by CRC CRC Press LLC 112 Finite Element Analysis: Thermomechanics of Solids The balance of linear...

Ngày tải lên: 11/08/2014, 04:20

... Wednesday, February 19, 20 03 5:08 PM © 20 03 by CRC CRC Press LLC 120 Finite Element Analysis: Thermomechanics of Solids There are two classes of errors in finite -element analysis: Modeling ... hardware and soft- ware, especially computer-aided design (CAD) systems. Today, a number of highly developed, user-friendly finite -element codes are available commercially....

Ngày tải lên: 11/08/2014, 04:20

... =− − − −        k D D D TT TT TT ββΦΦθθ ββΦΦθθ ββΦΦθθ ΤΤ ΤΤ ΤΤ 111 222 33 3 1 2 3. ξξξ = + =− =+ + ax b x x ee ,(),(). 11 1 0749_Frame_C09 Page 137 Wednesday, February 19, 20 03 5:09 PM © 20 03 by CRC CRC Press LLC 130 Finite Element Analysis: Thermomechanics of Solids The ... ) () () rzt t t u r u r w z u z w r a a a ua wa = ()                 =   ...

Ngày tải lên: 11/08/2014, 04:20

... for l 22 2 13 12 1 12=− =/(/) / . L 2 10 12 1 12 =         // . 1 100 112 0 1 0112 00 1 212 2 1 2 1 3 1 2 1 3 1 4 1 3 1 4 1 5 33 1 2 31 32 33 1 2 31 32 33 1 2 31 1 2 1 3 31 32 31 31             = =                         =+ + LL T // // / lll l l l l ll ll lllll 32 ... 19, 20 03 5: 13 PM © 20 03 by CRC CRC Press LLC 1...

Ngày tải lên: 11/08/2014, 04:20

... t ××××γγΣΣθθ11 0749_Frame_C 13 Page 175 Wednesday, February 19, 20 03 5:19 PM © 20 03 by CRC CRC Press LLC 180 Finite Element Analysis: Thermomechanics of Solids 13. 5 EXERCISES 1. Find the exact ... Y AALY uL vY p f/ // / − −                       =           () () uL L () 0749_Frame_C 13 Page 180 Wednesday, February 19, 20 03 5:19 PM © 20 0...

Ngày tải lên: 11/08/2014, 04:20