The boundary element method with programming for engineers and scientists - phần 7 ppsx

... side of the beam are the same and agree very well with the analytical solution, except for the coarse mesh with continuous elements. For the discontinuous mesh with 3 elements and for the continuous ... 332 The Boundary Element Method with Programming We now investigate the other possibilities for the location of i P . i P is located at one...

Ngày tải lên: 13/08/2014, 08:21

... previously if the point a P is not one of the cell nodes. If P a coincides with the nodes of cells, then the integrand tends to infinity with o(r 2 ) for 2-D and o(r 3 ) for 3-D problems and special ... The Boundary Element Method with Programming Figure 16.2 Interface between finite element and boundary regions showing interface forces In the f...

Ngày tải lên: 13/08/2014, 08:21

... direct method, one region 1 87 7. 4.1 User’s manual 195 7. 4.2 Sample input file 198 7. 5 Conclusions 199 7. 6 Exercises 200 7. 7 References 202 8 Element- by -element techniques and Parallel Programming ... engineering 470 17. 6.1 Borehole stability 470 17. 7 Conclusions 472 17. 8 References 473 18 Advanced topics 475 18.1 Introduction 475 18.2 Heterogeneous Doma...

Ngày tải lên: 13/08/2014, 08:21

... linear elements (c) one quadratic element 40 The Boundary Element Method with Programming If the element shape functions for the quadratic element are derived from Lagrange polynomials, then there ... are the same infinite shape functions as for the one-dimensional element, with K substituted for [ and the values for m(n) and k(n) are give...

Ngày tải lên: 13/08/2014, 08:21

... 32 1.0 0 .7 18 0. -5 . 0. -4 .5 0. -4 . 0. -3 .5 0. -3 . 0. -2 .5 0. -2 . 0. -1 .5 BOUNDARY INTEGRAL EQUATIONS 1 17 or in discretised form using line segments (5.51) where (5.52) The flows ... Math. & Mech, 12, 34 3-3 46. 5. Mindlin R.D. (1936) Force at a point in the interior of a semi-infinite solid. Physics 7: 19 5-2 02. 134 The Bo...

Ngày tải lên: 13/08/2014, 08:21

... matrices and then solve for the boundary unknowns and another where the assembly and solution are intermixed. The analogy to this in the FEM is the direct solution and the Element by Element ... required for 174 The Boundary Element Method with Programming The assembly procedure has to be modified, so that we put all known values on the right...

Ngày tải lên: 13/08/2014, 08:21

... -0 .02236 0.00 079 0.00 079 -0 .0 078 7 -0 .00123 - 0.0 078 7 -0 .00508 -0 .00508 -0 .00508 -0 .0 078 7 - 0.0 078 7 -0 .00123 -1 0.00000 0.00000 0.00000 -1 0.00000 0.00000 0.00000 -1 0.00000 0.00000 0.00000 -1 0.00000 ... AND SOLUTION 199 3 4 4 5 5 6 6 7 7 8 8 1 0 ! no Dirichlet BC’s 8 ! Neuman BC’c 1 1.000 0 .70 7 2...

Ngày tải lên: 13/08/2014, 08:21

... 0.480E-0 4-0 .467E-03 0 .74 4E-04 0.000E+0 0-0 .468E-03 0.000E+00 0.000E+0 0-0 .72 3E-03 0.000E+00 0 .74 4E-0 4-0 .468E-03 t= 0.000 0.000 -0 .70 7 0.000 0.000 -0 .70 7 0.000 0.000 -1 .000 0.000 0.000 -0 .70 7 ... Results, Element 6 u= -0 . 075 -0 .508 0. 075 -0 .508 0.000 -0 .508 t= 0.000 -1 0.000 0.000 -1 0.000 0.000 -1 0.000 272 The...

Ngày tải lên: 13/08/2014, 08:21

... Nodes 4 ! Elements 1.000 1.000 0 .70 7 0 .70 7 1.000 0.000 0 .70 7 -0 .70 7 0.000 -1 .000 1 2 3 4 364 The Boundary Element Method with Programming where (13.30) The discretised form can be ...   00 00 ( ) 0 for ( ) 1 for H tt t t H tt t t    t () ( ) ( )du t P d h t WW W  0 () ( ) ( ) t ut P ht d WWW  ³ BODY FORCES 379 -0 .70 7 -0...

Ngày tải lên: 13/08/2014, 08:21

... C 10 1 ( 1-3 QQ 1-5 Q C 11 -1 /16GQ - Q/16G -1 /30GQ C 12 1 1 7- 5 Q C 13 1-4 Q ( 1-3 QQ 2-1 0 Q C 14 1-2 Q ( 1-3 QQ 1-4 Q C 15 1 ( 1- QQ 1-2 Q C 16 ... 1-2 Q ( 1- QQ 1-2 Q C 4 2  3 C 5 1 ( 1- QQ 1-2 Q C 6 4  5 C 7 1-4 Q ( 1-3 QQ 1...

Ngày tải lên: 13/08/2014, 08:21