SolidMechanicsStress

SolidMechanicsStress[vars,pars,strain]

yields solid mechanics stress with variables vars, parameters pars and strain strain.

SolidMechanicsStress[vars,pars,strain,displacement]

yields solid mechanics stress for nonlinear material laws.

Details

Examples

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Basic Examples  (1)

Compute stress from a strain:

Visualize the stress:

Scope  (2)

Stationary Analysis  (1)

Compute the deflection of a spoon held fixed at the end and with a force applied at the top. Set up variables and parameters:

Set up the PDE and the geometry:

Compute the strains from the displacement:

Compute the stresses from the strains:

Visualize the stress:

Stationary Hyperelastic Plane Stress Analysis  (1)

Compute the displacement of a rectangular rubber plate held fixed at the left and with force applied at the right-hand side. Set up the region, variables and parameters:

Solve the equations:

Visualize the displacement:

Compute the strain from the displacement:

Compute the stress from the strain and displacement:

Visualize the strain:

Possible Issues  (1)

In the axisymmetric case, it is important that the displacements specified are functions of the spatial coordinates. Create variables, parameters and displacement functions that are not functions of space:

Note that the generated InterpolatingFunction is not a function of the spatial coordinates and . Now, when we compute the strain and stress, you can see that in the stress tensor some interpolating functions also appear without the spatial coordinates:

This is because the original displacement was without spatial coordinates. The fix is to use the following:

Now all InterpolatingFunction components of the stress tensor make use of the spatial coordinates:

Wolfram Research (2021), SolidMechanicsStress, Wolfram Language function, https://reference.wolfram.com/language/ref/SolidMechanicsStress.html (updated 2022).

Text

Wolfram Research (2021), SolidMechanicsStress, Wolfram Language function, https://reference.wolfram.com/language/ref/SolidMechanicsStress.html (updated 2022).

CMS

Wolfram Language. 2021. "SolidMechanicsStress." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2022. https://reference.wolfram.com/language/ref/SolidMechanicsStress.html.

APA

Wolfram Language. (2021). SolidMechanicsStress. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SolidMechanicsStress.html

BibTeX

@misc{reference.wolfram_2024_solidmechanicsstress, author="Wolfram Research", title="{SolidMechanicsStress}", year="2022", howpublished="\url{https://reference.wolfram.com/language/ref/SolidMechanicsStress.html}", note=[Accessed: 21-December-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_solidmechanicsstress, organization={Wolfram Research}, title={SolidMechanicsStress}, year={2022}, url={https://reference.wolfram.com/language/ref/SolidMechanicsStress.html}, note=[Accessed: 21-December-2024 ]}