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:

Compute the von Mises stress from the stress tensor:

Visualize the von Mises stress:

Compute the von Mises stress in an object with a hyperelastic material. Set up variables and material properties:

Specify a geometry:

The geometry is held fixed on the left edge and pulled to the right on the right edge. Solve the PDE for the displacement:

Compute the strains from the displacement:

Compute the stresses from strains and displacements:

Compute the von Mises stress from the stress tensor:

Visualize the von Mises stress in the to-scale deformed object:

Compute the von Mises stress in an 3D object with a hyperelastic material. Set up variables and material properties:

Specify a geometry:

The geometry is held fixed on the left edge and pulled to the right on the right edge. Solve the PDE for the displacement with a coarse mesh:

Compute the strains from the displacement:

Compute the stresses from strains and displacements and measure the time it takes:

Compute the von Mises stress from the stress tensor:

Visualize the von Mises stress in the to-scale deformed object:

Explore a failure criterion based on the von Mises stress for a titanium fixation plate used for orthopaedic surgery subjected to torque.

Set up the geometry of a typical forearm fixation plate:

Set up variables and material parameters:

The plate is 16×1×0.3 with several holes. Consider a setup where the first quarter is held fixed and the last quarter is subject to a torque:

Set up and solve the PDE:

Compute the strains from the displacement:

Compute the stresses from the strains:

Compute the von Mises stress from the stress tensor:

Visualize the von Mises stress intensity over the deformed body:

To find those areas in the fixation plate that are subject to failure, apply a criterion on the values of the von Mises stress with respect to the yielding limit of the material. Find the tensile yield strength of the material:

Only the regions with stress higher than the limit value may be subjected to failure:

Visualize the areas that are subject to failure:

Set up the variables and the model parameters for a fiber-reinforced piece of rubber that is held fixed at the left and a pressure is applied on the right. A neo-Hookean hyperelastic material model is used:

Set up the geometry:

Visualize the fiber reinforcement in the geometry:

Set up the equation and solve for the displacement:

Visualize the deformed body over the original shape of the body:

Compute the strain:

Compute the stress:

Compute the von Mises stress:

Visualize the von Mises stress: