Still, Elves can die of broken hearts - Luthien, or Arwen, for example.
Hope this helps,
Tasari

Welllll. they are immortal, yeah, in the sense that they dont age or anything. But you can stab em and they'd die, like Haldir........
Since their fea lasts until the world is destroyed at the great end and they could still get a new body from the valar at any point they are definatly immortal.
Tolkien used 'immortality' in a number of letters, but he often puts the word in quotation marks, or notes the technicality of a 'limited' immortality, or even that the Elvish longevity, with their ability to return to incarnate life, is not true immortality.
I do not see that 'reincarnation' affects the resulting problems at all. But 'immortality' (in my world only within the limited longevity of the Earth) does, of course. As many fairy-stories perceive.
(...)
Túor weds Idril the daughter of Turgon King of Gondolin; and 'it is supposed' (not stated) that he as an unique exception receives the Elvish limited 'immortality': an exception either way. (...)
They are therefore 'immortal'. Not 'eternally', but to endure with and within the created world, while its story lasts. When 'killed', by the injury or destruction of their incarnate form, they do not escape from time, but remain in the world, either discarnate, or being re-born. This becomes a great burden as the ages lengthen, especially in a world in which there is malice and destruction (...).(...)
immortality, strictly longevity co-extensive with the life of Arda, [...] Mortality, that is a short life-span having no relation to the life of Arda,
(...)
Longevity or counterfeit 'immortality' (true immortality is beyond Ea) is the chief bait of Sauron – it leads the small to a Gollum, and the great to a Ringwraith.
(...)
The Elves were sufficiently longeval to be called by Man 'immortal'. But they were not unageing or unwearying. Their own tradition was that they were confined to the limits of this world (in space and time), even if they died, and would continue in some form to exist in it until 'the end of the world'.
(...) I said, or meant to say, that the 'message' was the hideous peril of confusing true 'immortality' with limitless serial longevity. Freedom from Time, and clinging to Time. The confusion is the work of the Enemy, and one of the chief causes of human disaster.
Sorry I don't have the letter numbers here, but these are all JRRT from various letters.
Indeed. I guess that the unusual way in which Feanor's body, burned up, somewhat like a vampire in the sun would be one of the only examples in which Tolkien perhaps explains a physical description of what will happen to all Elves bodies in the advent of time.
Tolkien did note [Last Writings note 24] that: 'The flesh of Dwarves is reported to have been far slower to decay or become corrupted than that of Men (Elvish bodies robbed of their spirits quickly disintegrated and vanished.)'
That said I think Feanor might be a case of unusual quickness as he was even named 'Spirit of Fire' and it was noted that: '... he had neither burial nor tomb, for so fiery was his spirit that as it sped his body fell to ash...'
... while Felagund on the other hand, was buried [seemingly] after day arose, after the battles of Huan, and after Luthien unloosed the stones and so on; and Glorfindel's body was brought up from the chasm and buried in a mound of stones.