evaluateVonMisesStress

Evaluate von Mises stress for dynamic structural analysis problem

collapse all in page

Syntax

vmStress = evaluateVonMisesStress(structuralresults)

Description

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

example

Examples

collapse all

Open Live Script

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

Create and plot a beam geometry.

gm = multicuboid(0.06,0.005,0.01);
pdegplot(gm,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.

Create an femodel for transient structural analysis and include the geometry.

model = femodel(AnalysisType="structuralTransient", ...
                Geometry=gm);

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

model.MaterialProperties = ...
    materialProperties(YoungsModulus=210E9, ...
                       PoissonsRatio=0.3, ...
                       MassDensity=7800);

Fix one end of the beam.

model.FaceBC(5) = faceBC(Constraint="fixed");

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

yDisplacementFunc = ...
@(location,state) ones(size(location.y))*1E-4*sin(50*state.time);
model.FaceBC(3) = faceBC(YDisplacement=yDisplacementFunc);

Generate a mesh.

model = generateMesh(model,Hmax=0.01);

Specify the zero initial displacement and velocity.

model.CellIC = cellIC(Displacement=[0;0;0],Velocity=[0;0;0]);

Solve the model.

tlist = 0:0.002:0.2;
R = solve(model,tlist);

Evaluate the von Mises stress in the beam.

vmStress = evaluateVonMisesStress(R);

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

figure
pdeplot3D(R.Mesh,ColorMapData = vmStress(:,end))
title("von Mises Stress in the Beam for the Last Time-Step")

Figure contains an axes object. The hidden axes object with title von Mises Stress in the Beam for the Last Time-Step contains 5 objects of type patch, quiver, text.

Input Arguments

collapse all

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

Output Arguments

collapse all

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.

Version History

Introduced in R2018a

See Also

Objects

Functions