Learn R Programming

FEA (version 0.0.2)

Finite Element Modeling for R

Description

Finite element modeling of beam structures and 2D geometries using constant strain triangles. Applies material properties and boundary conditions (load and constraint) to generate a finite element model. The model produces stress, strain, and nodal displacements; a heat map is available to demonstrate regions where output variables are high or low. Also provides options for creating a triangular mesh of 2D geometries. Package developed with reference to: Bathe, K. J. (1996). Finite Element Procedures.[ISBN 978-0-9790049-5-7] -- Seshu, P. (2012). Textbook of Finite Element Analysis. [ISBN-978-81-203-2315-5] -- Mustapha, K. B. (2018). Finite Element Computations in Mechanics with R. [ISBN 9781315144474].

Copy Link

Version

Install

install.packages('FEA')

Monthly Downloads

227

Version

0.0.2

License

GPL-2 | GPL-3

Maintainer

Henna Bhramdat

Last Published

January 10th, 2023

Functions in FEA (0.0.2)

ManualAdjust.2d

ManualAdjust.2d

Boundary conditions applied to each node. Obtained from function: beamApplyBC

SurfaceTraction.2d

SurfaceTraction.2d

List of element matrices with surface traction. Obtained from function: SurfaceTraction

beamForceVector

beamForceVector

Dimensional data for beam elements. Includes area, length, aspect ratio, angles and lengths of elements. Obtained from function: beamDimensions

List of element matrices for each element. Obtained from function: beamElementMat

List of element matrices for each element. Obtained from function: beamElementMat

Global and Local loading force matrices obtained from function: beamGLForces

Cleaned nodal distribution in and on polygon. Obtained from function: Threshpts

Dimensional data for mesh elements. Includes area, length, aspect ratio, angles and lengths of elements. Obtained from function: Dimensions

Global nodal displacement, obtained from function: beamNodeDis

Global element matrix, obtained from function: beamGlobalEM

beamStressResult

FEA results for the beam model. Obtained from function: beamStress

List of large expanded element matrices calculated from the element matrix. Obtained from function: ExpandEM

Sample geometry for beam. Includes shape, discretization table, boundary conditions, thickness, and material details.

List of element matrices for each element. Obtained from function: ElementMat

Load vector produced from function function: beamForceVector

Global nodal displacement, obtained from function: NodeDis

Uniformly distributed load on beam surface

Boundary conditions applied to each node. Obtained from function: ApplyBC

Reduced element matrix calculated from the expanded element matrix. Obtained from function: beamReducedEM

Sample geometry converted into a 2D polygon. Polygon data that specifies all coordinate, coordinates that are within the geometry and coordinates that construct the lines of the geometry. Obtained from function: SinglePoly

Expanded element matrix for surface forces. Obtained from function: ExpandSFT

Global element matrix, obtained from function: GlobalMat

Reduced element matrix calculated from the expanded element matrix. Obtained from function: ReducedEM

triangulate0.2d

triangulate0.2d

Load vector produced from function function: ForceVector

Reduced surface force matrix calculated from expanded element matrix. Obtained from function: ReducedSF

Global and Local loading force matrices obtained from function: GLForces

Meshed coordinate points obtained from function: triangulate0

FEA results. Produces list with results from local stresses including Stress, Strain, and Stress from Strain. Obtained from function: LocalStress

Sample geometry. Matrix with x and y coordinates for initial shape.