http://tvtropes.org/pmwiki/pmwiki.php/Main/DeconstructionFic

One of the central tenets of Fanfic is Fix Fic. A desire to change or explore the original content in a way that makes more sense to the writer, or that the writer felt was wrong or simply because their favourite Shipping pairing didn't get together.

This trope is when, instead of using the hammer of fanfiction to repair, a fic writer deliberately and often lovingly smashes it to bits with a Deconstruction. They take aspects of the work to extremes or down a logical path that shows the faults therein, either deliberately or simply by pulling the loose threads until something breaks.

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A Fan Fic writer may take the setting, characters, tropes, plots, or the genre as their target. In addition, the fic may directly deconstruct the original work or any number of Fanfic Tropes, cliches, or elements of Fanon common to Fan Works based on that canon.

Note that while a Deconstruction Fic may well take a dark path with revealing the canon's actual Fridge Horror within, it doesn't have to be a literal deconstruction of the setting and characters like a Dark Fic. A story can still be a Deconstruction even if it's a W.A.F.F. or Hate Fic.

An example of a typical deconstruction in fanfic:

The Alice and Bob fandom of a certain Teen Drama or Kid Com has a Fandom-Specific Plot involving a one-night stand which causes a pregnancy. Played straight the pregnancy brings them together, their families both accept and help the pair through the pregnancy, and they eventually fall in love and have a beautiful child and live happily ever after.

Advertisement: A deconstruction for that plot can take several forms: Drawing notice to the fact that Alice and Bob are only 15 years old, aren't in love, have school to deal with, and their family situations aren't conducive to taking care of a child. A discussion about what to do takes place and causes a rift between them, or the family kicks Alice out, or they force Alice into a choice against her will or they have existing relationships that are impacted on by the pregnancy. The stress, guilt and angst continue to the point Alice and Bob end up hating each other with the one-night stand and its aftermath a regret, and never to be repeated again.

A Deconstruction can still have a perfectly happy ending. In the deconstruction above Alice and Bob could work through their angst and stress and come to terms with what happened, and eventually they do come to love each other for each other, and not because they happened to have a baby together.

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Deconstruction Crossover is a common form of this and examples of that should go there. Take care to remember the differences between this and Fix Fic, especially if the work the fic springs from is a member of the Deconstructor Fleet. For non-fan works, there is Deconstructed Trope.

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