.... elasticity finite element analysis hardening iterative methods pipes pressure vessels Structures are often subjected to the combined effect of simultaneous steady and cyclic load types. The combination of both the steady and the cyclic loads often results in exceeding the material initial yield...

... analysis heat conduction iterative methods petroleum industry pressure vessels quenching (thermal) thermoelasticity thermoelasticity coke drum analytical solution cylindrical shell thermal transient cladding To increase the understanding of the mentioned mechanism, the present work...

... obtained by varying the cap profile x 4 (m) 0.85 1.2225 (AT595 design) 1.65 Peak strain (%) 2.18 2.17 2.17 27 01 2008 12 08 2008 20 04 2009 composite materials explosion protection iterative methods lightweight structures optimisation blast...

... that the implicit Gauss–Seidel iterative method, used in the 3-D code, is as effective as the explicit FD method used in the 2 ‐ D + . The above algorithm is implemented in a numerical code, running on a personal computer. The running time is 5 – 30 min depending on the mesh size...

... residual stresses thick-walled tube VMP method internal stresses iterative methods pipes stress-strain relations 21 02 2006 16 05 2006 19 09 2008 2008 American Society of Mechanical Engineers ...

...L. H. You; H. Ou Based on basic equations of steady-state creep of spherically symmetric problems, a simple and efficient iterative method is proposed in this paper to determine creep deformations and stresses in thick-walled spherical vessels with varying creep properties subjected to internal...

... specimen 17 iterations: 80 97 Plate with multiple cracks 16 iterations: 62 68 Using automatic time stepping 16 02 2006 20 07 2006 pressure vessels elastic moduli design engineering iterative methods finite element analysis limit load elastic modulus...

... element formulation and pipe-soil interaction models have been implemented in Matlab using an iterative method based on the Conjugate Gradient technique to solve the linearized system of equations resulting from the Newton-Raphson procedure. A tolerance Tol = 10 − 6 has been used...