It depends on the creativity of the author. Some might take such a disturbing route to add drama, while others might not. It's all up to the imagination of the writer creating the fanfiction.
I think it's a rather dark and unlikely plot point. But in some fanfictions, anything can happen!
In many such fanfics, the Avengers might find Loki through various means. Sometimes it could be intelligence they gather about the location where he is being tortured. For example, they might intercept a message from Loki's captors or notice some strange energy signatures that lead them to the place.
Loki might react with anger. He could seek revenge against Odin, plotting ways to undermine his power or expose his wrongdoings. This reaction is common as it shows Loki's pride and his unwillingness to be a victim.
Loki's character could develop in terms of his understanding of power. Through the abuse, he realizes that power can be misused like Odin does. So he may strive to use his own power in a more just way. He might also start to question the Asgardian way of ruling which is based on Odin's actions.
In Avengers fanfiction, Loki's teenage years can be a fascinating aspect to explore. It could involve his relationship with Thor during that time, perhaps showing a more innocent or naive Loki before all the chaos. Writers might also delve into how his magic was developing and how he was perceived within Asgardian society as a teen.
In certain comic arcs, Loki manages to eliminate Odin. However, the circumstances and aftermath can vary depending on the specific comic series.
They could have shape - shifting abilities like Loki. This would allow them to blend in and deceive the Avengers easily. Another possible power could be magic. Since Loki is a master of magic, his children might inherit some form of it, whether it's creating illusions or controlling elements to a certain extent.
One reason could be for character development. By having Odin hurt Loki, it can show the complex and often troubled relationship between them. In the original Norse mythology and in some interpretations in the Marvel universe, Odin has not always been the best father figure to Loki. This kind of plot in fanfiction can explore the emotional and psychological impact on Loki, making his character more three - dimensional.
In many Thor Loki Avengers fanfictions, Loki's character development often starts from a place of being the villain. He then gradually realizes the value of his relationships, especially with Thor. For example, in some stories, after seeing the loyalty of the Avengers to each other, he begins to question his own actions. He might start to show remorse for his past deeds like the attack on New York.
Well, in such a fanfiction, there could be intense battles. The Avengers might initially be on the defensive against Loki's children. Maybe Loki's children would have unique powers that the Avengers have to figure out how to counter. For example, if one of them can manipulate minds, it would cause a lot of chaos within the Avengers' ranks.
One challenge could be the security around Loki. His captors might have strong defenses and guards. The Avengers would have to fight their way through to reach Loki.