All sorts of specialized elements such as crack tip elements, those for VCCT, etc.
One way to organize it would be to use a flowchart and start at the highest level, 0-D, 1-D, 2D, 3D elements. Then break those down (i.e. a 2-D element can be a tri or a quad...with varying number of possible nodes per element). Then break those down (i.e. a quad can be plane stress, plane strain, axisymmetric). Similarly a 1-D element can be a beam, truss, spring, etc.
If you look at an ABAQUS, NASTRAN, ANSYS, etc. manual, it will discuss the possible elements for a given solver.
Then you have 1-d elements, typcally connection 2 nodes. They can be beams, rods and so on.
And you have 0-d elements, a single node. Like a concentrated massa or certain springs. I don't know if "0-d" is a commen term but I have seen it in some texts.
Then there are special elements och special element formulations. Some already mentioned in the thread but there is more. It also depends on that software we are talking about.
But so far I have not seen any 4d elements. Perhaps some multi-physics could be considers 4d or more but I have not seen that terminologi in that context.
@jhardy1
> 0D, 1D, 2D & 3D elements are all very well - but what about 4D elements? Just think - you could run a linear transient analysis in a single time-step!
I don't understand. You can run a linear transient analysis generally with one solution point - independent of the element type. So what do you mean with 4D?
It was a joke - a 4D element formulation would presumably include time as the 4th dimension, so in addition to getting the three-dimensional stresses, you would get the full time-history in a single iteration of a linear solver (no time-stepping required). I believe Doctor Who used 4-D FEA to design the Tardis - it is (will be) a standard feature in AutoDesk Nastran In-CAD 2376.
I hope it was clear that I got that is was a joke .
Bit a bit more serious, the way we use terminology today I can't see the term 4d elements as relevant. I have heard the term 3d beams, but it was used for a 1d beam in a 3d model.
0d to 3d, but beyond that I can't see any relevance. Perhaps there are some specific formulation that can be interpreded as 4d. But I have not seen any yet.
Ahh, ok. I've never seen Dr. Who. It's not a big thing in my country. I just know briefly what it is and the things that were mentioned in The Big Bang Theory