{ "_id": "6a101b4eacfb0bcc41c87002", "Package": "FEA", "Type": "Package", "Title": "Finite Element Modeling for R", "Version": "0.0.2", "Author": "Henna D. Bhramdat", "Maintainer": "Henna D. Bhramdat ", "Description": "Finite element modeling of beam structures and 2D\ngeometries using constant strain triangles. Applies material\nproperties and boundary conditions (load and constraint) to\ngenerate a finite element model. The model produces stress,\nstrain, and nodal displacements; a heat map is available to\ndemonstrate regions where output variables are high or low.\nAlso provides options for creating a triangular mesh of 2D\ngeometries. Package developed with reference to: Bathe, K. J.\n(1996). Finite Element Procedures.[ISBN 978-0-9790049-5-7] --\nSeshu, P. (2012). Textbook of Finite Element Analysis.\n[ISBN-978-81-203-2315-5] -- Mustapha, K. B. (2018). Finite\nElement Computations in Mechanics with R. 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Includes shape, discretization table, boundary conditions, thickness, and material details.", "object": "beamGeo", "class": [ "list" ], "fields": [], "table": false, "tojson": true }, { "name": "beamGLforce", "title": "Global and Local loading force matrices obtained from function: beamGLForces", "object": "beamGLforce", "class": [ "list" ], "fields": [], "table": false, "tojson": true }, { "name": "beamGloMat", "title": "Global element matrix, obtained from function: beamGlobalEM", "object": "beamGloMat", "class": [ "matrix", "array" ], "fields": {}, "rows": 8, "table": true, "tojson": true }, { "name": "beamND", "title": "Global nodal displacement, obtained from function: beamNodeDis", "object": "beamND", "class": [ "list" ], "fields": [], "table": false, "tojson": true }, { "name": "beamREM", "title": "Reduced element matrix calculated from the expanded element matrix. Obtained from function: beamReducedEM", "object": "beamREM", "class": [ "matrix", "array" ], "fields": {}, "rows": 5, "table": true, "tojson": true }, { "name": "beamStressResult", "title": "FEA results for the beam model. Obtained from function: beamStress", "object": "beamStressResult", "class": [ "numeric" ], "fields": [], "table": false, "tojson": true }, { "name": "beamsUDL", "title": "Uniformly distributed load on beam surface", "object": "beamsUDL", "class": [ "list" ], "fields": [], "table": false, "tojson": true }, { "name": "bound", "title": "Boundary conditions applied to each node. Obtained from function: ApplyBC", "object": "bound", "class": [ "matrix", "array" ], "fields": {}, "rows": 100, "table": true, "tojson": true }, { "name": "Cart", "title": "Sample geometry. 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Obtained from function: ExpandSFT", "object": "expSurf", "class": [ "list" ], "fields": [], "table": true, "tojson": true }, { "name": "fea_EM", "title": "List of element matrices for each element. Obtained from function: ElementMat", "object": "fea_EM", "class": [ "list" ], "fields": [], "table": true, "tojson": true }, { "name": "fea_ExEM", "title": "List of large expanded element matrices calculated from the element matrix. Obtained from function: ExpandEM", "object": "fea_ExEM", "class": [ "list" ], "fields": [], "table": true, "tojson": true }, { "name": "fea_result", "title": "FEA results. Produces list with results from local stresses including Stress, Strain, and Stress from Strain. 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Obtained from function: SinglePoly", "object": "polyshape", "class": [ "list" ], "fields": [], "table": true, "tojson": true }, { "name": "reduc_EM", "title": "Reduced element matrix calculated from the expanded element matrix. Obtained from function: ReducedEM", "object": "reduc_EM", "class": [ "matrix", "array" ], "fields": {}, "rows": 94, "table": true, "tojson": true }, { "name": "reduc_SF", "title": "Reduced surface force matrix calculated from expanded element matrix. Obtained from function: ReducedSF", "object": "reduc_SF", "class": [ "matrix", "array" ], "fields": {}, "rows": 100, "table": true, "tojson": true }, { "name": "SurfTrac", "title": "List of element matrices with surface traction. 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Obtained from function: beamReducedEM", "topics": [ "beamREM" ] }, { "page": "beamStress", "title": "beamStress", "topics": [ "beamStress" ] }, { "page": "beamStressResult", "title": "FEA results for the beam model. Obtained from function: beamStress", "topics": [ "beamStressResult" ] }, { "page": "beamsUDL", "title": "Uniformly distributed load on beam surface", "topics": [ "beamsUDL" ] }, { "page": "beamUDL", "title": "beamUDL", "topics": [ "beamUDL" ] }, { "page": "bound", "title": "Boundary conditions applied to each node. Obtained from function: ApplyBC", "topics": [ "bound" ] }, { "page": "Cart", "title": "Sample geometry. Matrix with x and y coordinates for initial shape.", "topics": [ "Cart" ] }, { "page": "cleanpoly", "title": "Cleaned nodal distribution in and on polygon. Obtained from function: Threshpts", "topics": [ "cleanpoly" ] }, { "page": "dime", "title": "Dimensional data for mesh elements. Includes area, length, aspect ratio, angles and lengths of elements. Obtained from function: Dimensions", "topics": [ "dime" ] }, { "page": "Dimensions.2d", "title": "Dimensions.2d", "topics": [ "Dimensions.2d" ] }, { "page": "displacN", "title": "Global nodal displacement, obtained from function: NodeDis", "topics": [ "displacN" ] }, { "page": "ElementMat.2d", "title": "ElementMat.2d", "topics": [ "ElementMat.2d" ] }, { "page": "EulerBeamFEA", "title": "EulerBeamFEA", "topics": [ "EulerBeamFEA" ] }, { "page": "ExpandEM.2d", "title": "ExpandEM.2d", "topics": [ "ExpandEM.2d" ] }, { "page": "ExpandSFT.2d", "title": "ExpandSFT.2d", "topics": [ "ExpandSFT.2d" ] }, { "page": "expSurf", "title": "Expanded element matrix for surface forces. Obtained from function: ExpandSFT", "topics": [ "expSurf" ] }, { "page": "fea_EM", "title": "List of element matrices for each element. Obtained from function: ElementMat", "topics": [ "fea_EM" ] }, { "page": "fea_ExEM", "title": "List of large expanded element matrices calculated from the element matrix. 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