1 // Copyright (c) 2017-2022, Lawrence Livermore National Security, LLC and other CEED contributors. 2 // All Rights Reserved. See the top-level LICENSE and NOTICE files for details. 3 // 4 // SPDX-License-Identifier: BSD-2-Clause 5 // 6 // This file is part of CEED: http://github.com/ceed 7 8 /// @file 9 /// Boundary condition functions for solid mechanics example using PETSc 10 11 #include "../include/boundary.h" 12 13 // ----------------------------------------------------------------------------- 14 // Boundary Functions 15 // ----------------------------------------------------------------------------- 16 // Note: If additional boundary conditions are added, an update is needed in elasticity.h for the boundaryOptions variable. 17 18 // BCMMS - boundary function 19 // Values on all points of the mesh is set based on given solution below for u[0], u[1], u[2] 20 PetscErrorCode BCMMS(PetscInt dim, PetscReal load_increment, const PetscReal coords[], PetscInt num_comp_u, PetscScalar *u, void *ctx) { 21 PetscScalar x = coords[0]; 22 PetscScalar y = coords[1]; 23 PetscScalar z = coords[2]; 24 25 PetscFunctionBeginUser; 26 27 u[0] = exp(2 * x) * sin(3 * y) * cos(4 * z) / 1e8 * load_increment; 28 u[1] = exp(3 * y) * sin(4 * z) * cos(2 * x) / 1e8 * load_increment; 29 u[2] = exp(4 * z) * sin(2 * x) * cos(3 * y) / 1e8 * load_increment; 30 31 PetscFunctionReturn(0); 32 }; 33 34 #ifndef M_PI 35 #define M_PI 3.14159265358979323846 36 #endif 37 38 // BCClamp - fix boundary values with affine transformation at fraction of load increment 39 PetscErrorCode BCClamp(PetscInt dim, PetscReal load_increment, const PetscReal coords[], PetscInt num_comp_u, PetscScalar *u, void *ctx) { 40 PetscScalar x = coords[0]; 41 PetscScalar y = coords[1]; 42 PetscScalar z = coords[2]; 43 PetscScalar(*clampMax) = (PetscScalar(*))ctx; 44 45 PetscFunctionBeginUser; 46 PetscScalar 47 // Translation vector 48 lx = clampMax[0] * load_increment, 49 ly = clampMax[1] * load_increment, lz = clampMax[2] * load_increment, 50 // Normalized rotation axis 51 kx = clampMax[3], ky = clampMax[4], kz = clampMax[5], 52 // Rotation polynomial 53 c_0 = clampMax[6] * M_PI, c_1 = clampMax[7] * M_PI, cx = kx * x + ky * y + kz * z, 54 // Rotation magnitude 55 theta = (c_0 + c_1 * cx) * load_increment; 56 PetscScalar c = cos(theta), s = sin(theta); 57 58 u[0] = lx + s * (-kz * y + ky * z) + (1 - c) * (-(ky * ky + kz * kz) * x + kx * ky * y + kx * kz * z); 59 u[1] = ly + s * (kz * x + -kx * z) + (1 - c) * (kx * ky * x + -(kx * kx + kz * kz) * y + ky * kz * z); 60 u[2] = lz + s * (-ky * x + kx * y) + (1 - c) * (kx * kz * x + ky * kz * y + -(kx * kx + ky * ky) * z); 61 PetscFunctionReturn(0); 62 }; 63