evaluateVonMisesStress

Evaluate von Mises stress for dynamic structural analysis problem

Syntax

vmStress = evaluateVonMisesStress(structuralresults)

Description

vmStress = evaluateVonMisesStress(structuralresults) evaluates von Mises stress at nodal locations for all time- or frequency-steps.

Examples

von Mises Stress for 3-D Structural Dynamic Problem

Evaluate the von Mises stress in a beam under a harmonic excitation.

Create a transient dynamic model for a 3-D problem.

structuralmodel = createpde('structural','transient-solid');

Create the geometry and include it in the model. Plot the geometry.

gm = multicuboid(0.06,0.005,0.01);
structuralmodel.Geometry = gm;
pdegplot(structuralmodel,'FaceLabels','on','FaceAlpha',0.5)
view(50,20)

Specify the Young's modulus, Poisson's ratio, and mass density of the material.

structuralProperties(structuralmodel,'YoungsModulus',210E9, ...
                                     'PoissonsRatio',0.3, ...
                                     'MassDensity',7800);

Fix one end of the beam.

structuralBC(structuralmodel,'Face',5,'Constraint','fixed');

Apply a sinusoidal displacement along the y-direction on the end opposite the fixed end of the beam.

structuralBC(structuralmodel,'Face',3, ...
                             'YDisplacement',1E-4, ...
                             'Frequency',50);

Generate a mesh.

generateMesh(structuralmodel,'Hmax',0.01);

Specify the zero initial displacement and velocity.

structuralIC(structuralmodel,'Displacement',[0;0;0],'Velocity',[0;0;0]);

Solve the model.

tlist = 0:0.002:0.2;
structuralresults = solve(structuralmodel,tlist);

Evaluate the von Mises stress in the beam.

vmStress = evaluateVonMisesStress(structuralresults);

Plot the von Mises stress for the last time-step.

figure
pdeplot3D(structuralmodel,'ColorMapData',vmStress(:,end))
title('von Mises Stress in the Beam for the Last Time-Step')

Input Arguments

structuralresults — Solution of dynamic structural analysis problem

TransientStructuralResults object | FrequencyStructuralResults object

Solution of a dynamic structural analysis problem, specified as a TransientStructuralResults or FrequencyStructuralResults object. Create structuralresults by using the solve function.

Example: structuralresults = solve(structuralmodel,tlist)

Output Arguments

vmStress — Von Mises Stress at nodes

matrix

Von Mises Stress at the nodes, returned as a matrix. The rows of the matrix contain the values of von Mises stress at nodal locations, while the columns correspond to the time or frequency steps.