# 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 • SolidMechanicsStress returns the mechanical stress from a given strain with dependent variables of displacement , and in units of , independent variables in and time variable in units of .
• • Stress is a resistance force per cross-sectional area .
• Stresses have the unit of .
• SolidMechanicsStress uses the same variables vars specification as SolidMechanicsPDEComponent.
• SolidMechanicsStress uses the same parameter pars specification as SolidMechanicsPDEComponent.
• A SymmetrizedArray specifies strain.
• Typically, strain is the result of SolidMechanicsStrain.
• For elastic materials, SolidMechanicsStress uses the elastic strain to compute the stress.
• SolidMechanicsStress removes thermal or initial strains from the given strain.
• SolidMechanicsStress returns a SymmetrizedArray of stresses of the form:
• • The represent the normal stress and represent the shear stresses.
• For nonlinear materials, SolidMechanicsStress uses the strain and displacement to compute the stress.

# 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: