1ccaff030SJeremy L Thompson /// @file 2ccaff030SJeremy L Thompson /// Boundary condition functions for solid mechanics example using PETSc 3ccaff030SJeremy L Thompson 4*5754ecacSJeremy L Thompson #include "../include/boundary.h" 5ccaff030SJeremy L Thompson 6ccaff030SJeremy L Thompson // ----------------------------------------------------------------------------- 7ccaff030SJeremy L Thompson // Boundary Functions 8ccaff030SJeremy L Thompson // ----------------------------------------------------------------------------- 9ccaff030SJeremy L Thompson // Note: If additional boundary conditions are added, an update is needed in 10ccaff030SJeremy L Thompson // elasticity.h for the boundaryOptions variable. 11ccaff030SJeremy L Thompson 12ccaff030SJeremy L Thompson // BCMMS - boundary function 13ccaff030SJeremy L Thompson // Values on all points of the mesh is set based on given solution below 14ccaff030SJeremy L Thompson // for u[0], u[1], u[2] 15d1d35e2fSjeremylt PetscErrorCode BCMMS(PetscInt dim, PetscReal load_increment, 16d1d35e2fSjeremylt const PetscReal coords[], PetscInt num_comp_u, 17ccaff030SJeremy L Thompson PetscScalar *u, void *ctx) { 18ccaff030SJeremy L Thompson PetscScalar x = coords[0]; 19ccaff030SJeremy L Thompson PetscScalar y = coords[1]; 20ccaff030SJeremy L Thompson PetscScalar z = coords[2]; 21ccaff030SJeremy L Thompson 22ccaff030SJeremy L Thompson PetscFunctionBeginUser; 23ccaff030SJeremy L Thompson 24d1d35e2fSjeremylt u[0] = exp(2*x)*sin(3*y)*cos(4*z) / 1e8 * load_increment; 25d1d35e2fSjeremylt u[1] = exp(3*y)*sin(4*z)*cos(2*x) / 1e8 * load_increment; 26d1d35e2fSjeremylt u[2] = exp(4*z)*sin(2*x)*cos(3*y) / 1e8 * load_increment; 27ccaff030SJeremy L Thompson 28ccaff030SJeremy L Thompson PetscFunctionReturn(0); 29ccaff030SJeremy L Thompson }; 30ccaff030SJeremy L Thompson 3131dc5d86Sjeremylt #ifndef M_PI 3231dc5d86Sjeremylt # define M_PI 3.14159265358979323846 3331dc5d86Sjeremylt #endif 3431dc5d86Sjeremylt 35d642641fSjeremylt // BCClamp - fix boundary values with affine transformation at fraction of load 36d642641fSjeremylt // increment 37d1d35e2fSjeremylt PetscErrorCode BCClamp(PetscInt dim, PetscReal load_increment, 38d1d35e2fSjeremylt const PetscReal coords[], PetscInt num_comp_u, 3931dc5d86Sjeremylt PetscScalar *u, void *ctx) { 4031dc5d86Sjeremylt PetscScalar x = coords[0]; 4131dc5d86Sjeremylt PetscScalar y = coords[1]; 4231dc5d86Sjeremylt PetscScalar z = coords[2]; 4331dc5d86Sjeremylt PetscScalar (*clampMax) = (PetscScalar(*))ctx; 4431dc5d86Sjeremylt 4531dc5d86Sjeremylt PetscFunctionBeginUser; 4672d03b64SArash Mehraban PetscScalar 4772d03b64SArash Mehraban // Translation vector 48d1d35e2fSjeremylt lx = clampMax[0]*load_increment, 49d1d35e2fSjeremylt ly = clampMax[1]*load_increment, 50d1d35e2fSjeremylt lz = clampMax[2]*load_increment, 5172d03b64SArash Mehraban // Normalized rotation axis 5272d03b64SArash Mehraban kx = clampMax[3], 5372d03b64SArash Mehraban ky = clampMax[4], 5472d03b64SArash Mehraban kz = clampMax[5], 5572d03b64SArash Mehraban // Rotation polynomial 5672d03b64SArash Mehraban c_0 = clampMax[6] * M_PI, 5772d03b64SArash Mehraban c_1 = clampMax[7] * M_PI, 5872d03b64SArash Mehraban cx = kx * x + ky * y + kz * z, 5972d03b64SArash Mehraban // Rotation magnitude 60d1d35e2fSjeremylt theta = (c_0 + c_1 * cx) * load_increment; 6131dc5d86Sjeremylt PetscScalar c = cos(theta), s = sin(theta); 6231dc5d86Sjeremylt 6356f0bea9Sjeremylt u[0] = lx + s*(-kz*y + ky*z) + (1-c)*(-(ky*ky+kz*kz)*x + kx*ky*y + kx*kz*z); 6456f0bea9Sjeremylt u[1] = ly + s*(kz*x + -kx*z) + (1-c)*(kx*ky*x + -(kx*kx+kz*kz)*y + ky*kz*z); 6556f0bea9Sjeremylt u[2] = lz + s*(-ky*x + kx*y) + (1-c)*(kx*kz*x + ky*kz*y + -(kx*kx+ky*ky)*z); 6631dc5d86Sjeremylt PetscFunctionReturn(0); 6731dc5d86Sjeremylt }; 68