Warpage
Add a Warpage node to evaluate the change in shape of a surface. Warpage is defined as the difference between the actual deformation of a surface and an average rigid motion of the same surface or a reference plane. Warpage is measured along the normal of the surface.
There is no limitation in the selection of the boundaries forming the surface, but in most cases, this feature is used to measure how much an originally flat surface deviates from being planar after deformation.
In most cases, a Warpage node will not affect the solution. It will merely add variables for result evaluation. When a Warpage node has been added or modified, you then do not need to compute a new solution. It is sufficient to perform an Update Solution () to make the variables for result evaluation available.
The Warpage node is only available with some COMSOL products (see www.comsol.com/products/specifications/).
Rotation Model
Select a Rotation modelSmall rotations, Finite rotations, symmetric segregated, or Finite rotations, unsymmetric coupled.
With the small rotation formulation, warping can be evaluated using explicit expressions, so the only effect of using a Warpage node is to define new variables.
The finite rotation options, however, require solving an extra set of nonlinear equations. There is still no influence on the structural mechanics solution as such. Using an appropriate choice of finite rotation formulation and a corresponding setup of the solver strategy can strongly affect the computational cost. The cost of solving for the average finite rotation variables is very small, but the addition of these extra degrees of freedom can affect the structure of the system of equations.
With the unsymmetric coupled option, you do not have to care about solver setup. However, a majority of structural mechanics problems produce symmetric stiffness matrices, and that symmetry is broken when adding the equations for the average rotation. This will lead to a significant (about a factor 2) penalty on solution time and memory usage.
If the variables created by Warpage are used in other equations, you should also typically use the unsymmetric coupled option.
In most cases, warping is however used only during result visualization. This means that the most efficient procedure is to first compute the structural mechanics displacements, and subsequently solve the least squares problem for computing the surface’s average rigid rotation. For this case, using the symmetric segregated approach is usually the best choice. You must, however, set up the solver sequence in a way such that you can benefit from this property. There are several possible strategies, for example:
Use two different study steps. In the first step, do not solve for the warpage average rotation variables. This can be done by disabling the Warpage node in the study settings. In the second study step, solve only for those variables by disabling the other dependent variables under the Dependent Variables node.
Use a segregated solver. In this case, solve for the warpage average rotation variables only in the last segregated step. Note that in the default case, always at least two iterations will be performed in a segregated solver. This is typically not what you want. Set Termination technique to Iterations in the Segregated node, and terminate after one iteration. Then, if required, set up the Segregated Step in which the structural mechanics problem is solved so that proper nonlinear iterations are performed until convergence.
Reference Plane
Select a Reference planeAutomatic or From points.
With the Automatic formulation, warping is evaluated using an average rigid motion of the selected surface.
When From points is selected, specify the points that define the reference plane. In case the Symmetry type is set to Symmetry or Antisymmetry, the points should not be placed in the symmetry plane.
Symmetry Type
Select a Symmetry typeNone, Symmetry, or Antisymmetry.
With the Symmetry and Antisymmetry formulations, warping evaluation is compensated to include the symmetry or antisymmetry condition, respectively. These formulations require that you specify the entity that represents the symmetry plane in the Symmetry Plane Selection section. The Antisymmetry formulation is only available when Rotation model is set to Small rotations.
See also Warpage in the Structural Mechanics Theory chapter.
Location in User Interface
Context Menus
Ribbon
Physics tab with an applicable physics interface selected in the Model Builder tree: