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

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von Mises Stress for 3-D Structural Dynamic Problem

Open Live Script

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)

Figure contains an axes object. The axes object contains 6 objects of type quiver, text, patch, line.

Specify Young's modulus, Poisson's ratio, and the 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(structuralresults.Mesh,ColorMapData = vmStress(:,end))
title("von Mises Stress in the Beam for the Last Time-Step")

Input Arguments

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`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

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`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.