In this section we describe the elements supporting the Symbolic mode of Multiphysics Module (MPM). The symbolic mode is used to define the weak form of the problem in terms of variables, terms and integrals. The symbolic MPM elements support different types of approximations. The additional nodes are generated authomatically and this process ensures the reauired continuity of interpolations among element boundaries. Also, the needed DOFs are generated automatically, depending on the configured variables.
Represents 2D isoparametric quad element. The element geometry in (x,y) plane is defined using 4 corner nodes. The element supports linear and quadratic approximation.
| Keyword | q1 |
| Description | q1 element |
| Specific parameters | - |
| Unknowns | Depending on configured variables |
| Approximation | Linear and quadratic unknown approximation; Linear approximation of geometry. |
| Integration | Exact |
| Features | - |
| CS properties | As required by individual terms |
| Loads | None, need to be defined using terms |
| Status | Reliable |
| Tests/Examples | tests/mpm/mpms01.in, tests/mpm/mpms02.in, tests/mpm/mpms03.in, tests/mpm/cook2_u1p0.in, tests/mpm/cook2_u2p1.in |
Represents 1D isoparametric line element in 3D space. The element geometry is defined using 2 nodes. The element supports linear and quadratic approximation.
| Keyword | l1 |
| Description | l1 element |
| Specific parameters | - |
| Unknowns | Depending on configured variables |
| Approximation | Linear and quadratic unknown approximation; Linear approximation of geometry. |
| Integration | Exact |
| Features | - |
| CS properties | As required by individual terms |
| Loads | None, need to be defined using terms |
| Status | Reliable |
| Tests/Examples | tests/mpm/mpms01.in, tests/mpm/mpms02.in, tests/mpm/mpms03.in, tests/mpm/cook2_u1p0.in, tests/mpm/cook2_u2p1.in |