( Home page example: Elasto-plastic buckling of heated hollow cylinder. A hollow cylinder is heated from inside, and convects heat from the outer edge to the environment. The cylinder expands because of the heat. The cylinder is clamped at the bottom and top, so that it buckles because of the thermal expansion. An updated Lagrange large deformation theory is used to model the large strains and rotations in the cylinder. Plasticity shows up because of the high deformations. ) echo -no number_of_space_dimensions 3 condif_temperature materi_velocity materi_strain_total materi_stress materi_plasti_kappa end_initia start_define lower_edge geometry_quadrilateral 0 end_define start_define upper_edge geometry_quadrilateral 1 end_define start_define inner_edge geometry_cylinder 0 end_define start_define outer_edge geometry_cylinder 1 end_define lower_edge -10.0 -10.0 0.0 10. -10.0 0.0 -10.0 10. 0.0 10.0 10. 0.0 1.e-3 upper_edge -10.0 -10.0 1.0 10. -10.0 1.0 -10.0 10. 1.0 10.0 10. 1.0 1.e-3 inner_edge 0. 0. 0. 0. 0. 1. 0.90 1.e-3 outer_edge 0. 0. 0. 0. 0. 1. 1.00 1.e-3 (Steel AISI-304 material properties, SI units) group_type 0 -materi -condif group_materi_density 0 8030.0 group_materi_elasti_young 0 1.93e11 group_materi_elasti_poisson 0 0.29 group_materi_memory 0 -updated group_materi_plasti_vonmises 0 24.3e6 group_materi_expansion_linear 0 1.78e-5 group_condif_conductivity 0 16.3 ( group_condif_capacity 0 502.0 ) condif_convection 0 10.0 0.0 condif_convection_geometry 0 -outer_edge bounda_unknown 0 -lower_edge -velx -vely -velz bounda_time 0 0. 0. 1.e6 0. bounda_unknown 1 -upper_edge -velx -vely -velz bounda_time 1 0. 0. 1.e6 0. bounda_unknown 2 -inner_edge -temp bounda_time 2 0. 0. 1. 2.e3 post_point 1 1.0 0.0 0.0 control_mesh_macro 10 -cylinder_hollow 0 20 5 20 control_mesh_macro_parameters 10 0. 0. 0. 0. 0. 1. 0.95 0.1 0. 360. control_timestep 30 0.1 1. control_timestep_iterations 30 5 ( control_print 30 -time_current -post_node_rhside_ratio ) target_item 0 -post_point_dof 1 -kap target_value 0 0.0747218 0.01 end_data