Tutorials for Linear Elasticity
Overview
The tutorials described in this section are located in tutorials/solid/linearElasticity
directory. Linear (linearised) elasticity is used to represent the mechanical behavior of materials undergoing small reversible deformations; for example, in the stress analysis of a metallic engineering component. The assumption of linear elasticity implies that a small deformation (linear geometry) modelling approach is employed. Linear elastic material behaviour is specified in the ``constant/mechanicalProperties` dictionary as, for example
steel
{
type linearElastic;
rho rho [1 -3 0 0 0 0 0] 7800;
E E [1 -1 -2 0 0 0 0] 210e+09;
nu nu [0 0 0 0 0 0 0] 0.3;
}
Several solid model are available for analysing linear elastic materials in solids4foam, as specified in the constant/solidProperties
dictionary. For example, a segregated cell-centred finite volume solid model:
solidModel linearGeometryTotalDisplacement;
linearGeometryTotalDisplacementCoeffs
{
// Optional parameters for this solid model
}
Tutorial Guides
- Patch Test: patchTest
- Tutorial: narrowTmember
- Linear Elastic Cook's Membrane: cooksMembrane
- Curved Cantilever Beam: curvedCantilever
- Contact patch test: contactPatchTest
- Indentation of elastic half-space with a flat-ended rigid indenter: flatEndedRigidIndenter
- Cylindrical punch with rounded edge: punch
- Internally pressurised thick-walled cylinder: pressurisedCylinder
- Frictional sliding of an elastic cylinder segment: slidingFrictionBall