an:01963658
Zbl 1026.74074
Peyraut, Fran??ois
Orientation preservation and Newton-Raphson convergence in the case of an hyperelastic sphere subjected to an hydrostatic pressure
EN
Comput. Methods Appl. Mech. Eng. 192, No. 9-10, 1107-1117 (2003).
00092752
2003
j
74S05 74B20 65N12
compressible hyperelastic sphere; Blatz-Ko material; Newton-Raphson convergence; orientation preservation; hydrostatic pressure; optimal step loading
Summary: We show that the incremental Newton-Raphson algorithm diverges if the orientation is not preserved. To illustrate this point, we treat the example of a compressible hyperelastic sphere subjected to hydrostatic pressure. The selected model is Blatz-Ko material. We also show that it is possible to choose an optimal step loading. This step guarantees at the same time the orientation preservation, the Newton-Raphson convergence and a minimum computing time.