using System; using System.Collections.Generic; using System.Linq; using System.Text; using System.Threading.Tasks; using CaeGlobals; namespace CaeMesh { [Serializable] public class LinearHexaElement : FeElement3D { // Variables private static int vtkCellTypeInt = (int)vtkCellType.VTK_HEXAHEDRON; private static double b = 0.25; // Properties // Constructors public LinearHexaElement(int id, int[] nodeIds) : base(id, nodeIds) { } public LinearHexaElement(int id, int partId, int[] nodeIds) : base(id, partId, nodeIds) { } // Methods public override int[] GetVtkNodeIds() { // return a copy -> ToArray return NodeIds.ToArray(); } public override int[] GetGmshNodeIds() { // return a copy -> ToArray return NodeIds.ToArray(); } public override int GetVtkCellType() { return vtkCellTypeInt; } public override FeFaceName GetFaceNameFromSortedNodeIds(int[] nodeIds) { // The node ids are sorted // S1 = 1-2-3-4 . 0-1-2-3 . 0-1-2-3 // S2 = 5-8-7-6 . 4-7-6-5 . 4-5-6-7 // S3 = 1-5-6-2 . 0-4-5-1 . 0-1-4-5 // S4 = 2-6-7-3 . 1-5-6-2 . 1-2-5-6 // S5 = 3-7-8-4 . 2-6-7-3 . 2-3-6-7 // S6 = 4-8-5-1 . 3-7-4-0 . 0-3-4-7 if (nodeIds[2] == 2) return FeFaceName.S1; else if (nodeIds[0] == 4) return FeFaceName.S2; else if (nodeIds[1] == 1) return FeFaceName.S3; else if (nodeIds[0] == 1) return FeFaceName.S4; else if (nodeIds[0] == 2) return FeFaceName.S5; else if (nodeIds[0] == 0) return FeFaceName.S6; else throw new NotSupportedException(); } public override int[] GetNodeIdsFromFaceName(FeFaceName faceName) { // S1 = 1-2-3-4 . 0-1-2-3 // S2 = 5-8-7-6 . 4-7-6-5 // S3 = 1-5-6-2 . 0-4-5-1 // S4 = 2-6-7-3 . 1-5-6-2 // S5 = 3-7-8-4 . 2-6-7-3 // S6 = 4-8-5-1 . 3-7-4-0 switch (faceName) { case FeFaceName.S1: return new int[] { NodeIds[0], NodeIds[1], NodeIds[2], NodeIds[3] }; case FeFaceName.S2: return new int[] { NodeIds[4], NodeIds[7], NodeIds[6], NodeIds[5] }; case FeFaceName.S3: return new int[] { NodeIds[0], NodeIds[4], NodeIds[5], NodeIds[1] }; case FeFaceName.S4: return new int[] { NodeIds[1], NodeIds[5], NodeIds[6], NodeIds[2] }; case FeFaceName.S5: return new int[] { NodeIds[2], NodeIds[6], NodeIds[7], NodeIds[3] }; case FeFaceName.S6: return new int[] { NodeIds[3], NodeIds[7], NodeIds[4], NodeIds[0] }; default: throw new NotSupportedException(); } } public override int[] GetVtkCellFromFaceName(FeFaceName faceName) { // Invert the surface normal to point outwards // S1 = 1-2-3-4 . 0-1-2-3 . 0-3-2-1 // S2 = 5-8-7-6 . 4-7-6-5 . 4-5-6-7 // S3 = 1-5-6-2 . 0-4-5-1 . 0-1-5-4 // S4 = 2-6-7-3 . 1-5-6-2 . 1-2-6-5 // S5 = 3-7-8-4 . 2-6-7-3 . 2-3-7-6 // S6 = 4-8-5-1 . 3-7-4-0 . 3-0-4-7 switch (faceName) { case FeFaceName.S1: return new int[] { NodeIds[0], NodeIds[3], NodeIds[2], NodeIds[1] }; case FeFaceName.S2: return new int[] { NodeIds[4], NodeIds[5], NodeIds[6], NodeIds[7] }; case FeFaceName.S3: return new int[] { NodeIds[0], NodeIds[1], NodeIds[5], NodeIds[4] }; case FeFaceName.S4: return new int[] { NodeIds[1], NodeIds[2], NodeIds[6], NodeIds[5] }; case FeFaceName.S5: return new int[] { NodeIds[2], NodeIds[3], NodeIds[7], NodeIds[6] }; case FeFaceName.S6: return new int[] { NodeIds[3], NodeIds[0], NodeIds[4], NodeIds[7] }; default: throw new NotSupportedException(); } } public override int GetVtkCellIdFromCell(int[] cell) { if (cell[0] == NodeIds[0] && cell[1] == NodeIds[3] && cell[2] == NodeIds[2] && cell[3] == NodeIds[1]) return 0; else if (cell[0] == NodeIds[4] && cell[1] == NodeIds[5] && cell[2] == NodeIds[6] && cell[3] == NodeIds[7]) return 1; else if (cell[0] == NodeIds[0] && cell[1] == NodeIds[1] && cell[2] == NodeIds[5] && cell[3] == NodeIds[4]) return 2; else if (cell[0] == NodeIds[1] && cell[1] == NodeIds[2] && cell[2] == NodeIds[6] && cell[3] == NodeIds[5]) return 3; else if (cell[0] == NodeIds[2] && cell[1] == NodeIds[3] && cell[2] == NodeIds[7] && cell[3] == NodeIds[6]) return 4; else if (cell[0] == NodeIds[3] && cell[1] == NodeIds[0] && cell[2] == NodeIds[4] && cell[3] == NodeIds[7]) return 5; return -1; } public override int[][] GetAllVtkCells() { // use Method: GetVtkCellFromFaceName(FeFaceName faceName) int[][] cells = new int[6][]; cells[0] = new int[] { NodeIds[0], NodeIds[3], NodeIds[2], NodeIds[1] }; cells[1] = new int[] { NodeIds[4], NodeIds[5], NodeIds[6], NodeIds[7] }; cells[2] = new int[] { NodeIds[0], NodeIds[1], NodeIds[5], NodeIds[4] }; cells[3] = new int[] { NodeIds[1], NodeIds[2], NodeIds[6], NodeIds[5] }; cells[4] = new int[] { NodeIds[2], NodeIds[3], NodeIds[7], NodeIds[6] }; cells[5] = new int[] { NodeIds[3], NodeIds[0], NodeIds[4], NodeIds[7] }; return cells; } public override Dictionary GetFaceNamesAndAreasFromNodeSet(HashSet nodeSet, Dictionary nodes, bool edgeFaces) { int significantNodes = 8; bool[] faceNodeIds = new bool[significantNodes]; // int count = 0; for (int i = 0; i < significantNodes; i++) { if (nodeSet.Contains(NodeIds[i])) { faceNodeIds[i] = true; count++; } // If five or more nodes were missed: break if (i + 1 - count >= 5) break; } // S1 = 1-2-3-4 . 0-1-2-3 // S2 = 5-8-7-6 . 4-7-6-5 // S3 = 1-5-6-2 . 0-4-5-1 // S4 = 2-6-7-3 . 1-5-6-2 // S5 = 3-7-8-4 . 2-6-7-3 // S6 = 4-8-5-1 . 3-7-4-0 Dictionary faces = new Dictionary(); // if (faceNodeIds[0] && faceNodeIds[1] && faceNodeIds[2] && faceNodeIds[3]) faces.Add(FeFaceName.S1, GetArea(FeFaceName.S1, nodes)); if (faceNodeIds[4] && faceNodeIds[7] && faceNodeIds[6] && faceNodeIds[5]) faces.Add(FeFaceName.S2, GetArea(FeFaceName.S2, nodes)); if (faceNodeIds[0] && faceNodeIds[4] && faceNodeIds[5] && faceNodeIds[1]) faces.Add(FeFaceName.S3, GetArea(FeFaceName.S3, nodes)); if (faceNodeIds[1] && faceNodeIds[5] && faceNodeIds[6] && faceNodeIds[2]) faces.Add(FeFaceName.S4, GetArea(FeFaceName.S4, nodes)); if (faceNodeIds[2] && faceNodeIds[6] && faceNodeIds[7] && faceNodeIds[3]) faces.Add(FeFaceName.S5, GetArea(FeFaceName.S5, nodes)); if (faceNodeIds[3] && faceNodeIds[7] && faceNodeIds[4] && faceNodeIds[0]) faces.Add(FeFaceName.S6, GetArea(FeFaceName.S6, nodes)); // return faces; } public override double[] GetEquivalentForcesFromFaceName(FeFaceName faceName) { return new double[] { b, b, b, b }; } public override double[] GetEquivalentForcesFromFaceName(FeFaceName faceName, double[] nodalValues) { return GetEquivalentForces(typeof(LinearQuadrilateralElement), nodalValues); } public override double GetArea(FeFaceName faceName, Dictionary nodes) { int[] cell = GetVtkCellFromFaceName(faceName); return GeometryTools.RectangleArea(nodes[cell[0]], nodes[cell[1]], nodes[cell[2]], nodes[cell[3]]); } public override double[] GetFaceCG(FeFaceName faceName, Dictionary nodes, out double area) { int[] cell = GetVtkCellFromFaceName(faceName); double[] cg = GeometryTools.QuadrilateralCG(nodes[cell[0]], nodes[cell[1]], nodes[cell[2]], nodes[cell[3]], out area); return cg; } public override double GetVolume(Dictionary nodes) { return GeometryTools.HexahedronVolume(nodes[NodeIds[0]], nodes[NodeIds[1]], nodes[NodeIds[2]], nodes[NodeIds[3]], nodes[NodeIds[4]], nodes[NodeIds[5]], nodes[NodeIds[6]], nodes[NodeIds[7]]); } public override double[] GetCG(Dictionary nodes, out double volume) { return GeometryTools.HexahedronCG(nodes[NodeIds[0]], nodes[NodeIds[1]], nodes[NodeIds[2]], nodes[NodeIds[3]], nodes[NodeIds[4]], nodes[NodeIds[5]], nodes[NodeIds[6]], nodes[NodeIds[7]], out volume); } public override FeElement DeepCopy() { return new LinearHexaElement(Id, PartId, NodeIds.ToArray()); } } }