BC_PERIODIC
Boundary conditions
    
        
            *BC_PERIODIC
"Optional title"
coid
entype${}_1$, enid${}_1$, entype${}_2$, enid${}_2$
    "Optional title"
coid
entype${}_1$, enid${}_1$, entype${}_2$, enid${}_2$
Parameter definition
Variable
        Description
    coid
                        
                            Command ID
                                                                                
                                                entype${}_1$
                        
                            Entity type of Surface 1
                                                            
                                                                                
                                                enid${}_1$
                        
                            Entity identification number of Surface 1
                                                                                
                                                entype${}_2$
                        
                            Entity type of Surface 2
                                                            
                                                                                
                                                enid${}_2$
                        
                            Entity identification number of Surface 2
                                                                                
                                                Description
This command is used specify periodic boundary conditions. The coupled surfaces must have the same shape and discretization (a node-to-node matching is expected).
Example
Indentations in a ring
The periodic boundary condition command can be used to model cyclic symmetry. In the example below, spherical indentors are first pushed into a metal ring and then moved horizontally. By only modelling a 30 degree slice the model size and computational time can be reduced.
            
            
                
                    #
            # Model utilizing periodic BC
            *UNIT_SYSTEM
            SI
            #
            # --- PARAMETERS ---
            #
            *PARAMETER
            ang  = 30,    "ring section angle"
            R1   = 0.1,   "ring inner radius"
            R2   = 0.2,   "ring outer radius"
            h    = 0.1,   "ring height"
            Ri   = 0.03,  "indentor radius"
            ang2 = 20,    "indentor position"
            d    = 0.025, "indentation"
            tend = 0.01,  "termination time"
            #
            # --- TIME ---
            #
            *TIME
            [%tend]
            #
            # --- MESH ---
            #
            *COMPONENT_PIPE
            "ring"
            1, 1,  8, 8, 8, 0, [%ang]
            0, 0, 0,  0, 0, [%h],  [%R1], [%R2]
            *COMPONENT_SPHERE
            "indentor"
            2, 2,  6
            [0.5*(%R1+%R2)*cos(%ang2)], [0.5*(%R1+%R2)*sin(%ang2)], [%h+%Ri],  [%Ri]
            *CHANGE_P-ORDER
            ALL, 0, 3
            *SMOOTH_MESH
            ALL, 0, 45.0
            #
            # --- MATERIAL ---
            #
            *MAT_METAL
            "ring"
            1, 7800.0, 210.0e9, 0.3
            1
            *FUNCTION
            1
            3.0e8 + 3.0e8*epsp^0.3
            *MAT_RIGID
            "indentor"
            2, 7800.0
            #
            *PART
            "ring"
            1, 1
            "indentor"
            2, 2
            #
            # --- BC ---
            #
            *BC_PERIODIC
            "ring"
            1
            G, 1, G, 2
            *GEOMETRY_SEED_COORDINATE
            "surface 1"
            1
            [0.5*(%R1+%R2)], 0, [0.5*%h]
            *GEOMETRY_SEED_COORDINATE
            "surface 2"
            2
            [0.5*(%R1+%R2)*cos(%ang)], 0.5*(%R1+%R2)*sin(%ang), [0.5*%h]
            #
            *BC_MOTION
            "clamp ring base"
            1
            G, 3, XYZ
            *GEOMETRY_BOX
            3
            0, 0, -0.0001, 0, 0, 0.0001
            #
            *BC_MOTION
            "indentor"
            1
            P, 2, XY, XY, 0, 1
            V, Z, 11
            V, RZ, 22
            *COORDINATE_SYSTEM_FIXED
            1, 0, 0, 0
            1, 0, 0,  0, 1, 0
            *FUNCTION
            11
            -smooth_v(%d, 0, %tend/10)
            *FUNCTION
            22
            -smooth_v(0.5*pi*(%ang-%ang2)/180, %tend/10, %tend)
            #
            # --- CONTACT ---
            #
            *CONTACT
            "all to all"
            1
            ALL, 0, ALL, 0
            *END