here are some resources that I personally have found quite useful when trying to reproduce the TurekHron FSI2 benchmark from
Chapter Proposal for Numerical Benchmarking of Fluid–Structure Inter...
Enjoy!
Article Numerical Methods for Fluid-Structure Interaction Problems
This a PhD thesis (I guess) that gives a great overview of the ALE methods for FSI. It starts gently with an introduction into continuum mechanics and then proceeds to describe the monolithic and partitioned approaches to FSI.
Article Fixed-point fluid-structure interaction solvers with dynamic...
This is a more high-level overview of the partitioned approach to FSI where you can reuse existing CFD and CAE solvers. Especially valuable is the chapter on the convergence acceleration.
Book Computational Fluid-Structure Interaction: Methods and Applications
Finally, here is a quite advanced book on FSI with isogeometric analysis and various cool applications.
I will add the book by Prof. Grigorios Dimitriadis - Introduction to Nonlinear Aeroelasticity, Wiley (2017). It is very good for the nonlinear dynamics aspect of fluid-structure interactions.
The course by Prof. de Langre on Fundamentals of Fluid-Solid Interactions ( https://www.coursera.org/learn/fluid-solid-interaction ) can be an overall very good material to start in the realm of FSI.
Yes, I think all the current answers provide good references, and I would like to recommend another book: "MODELLING OF MECHANICAL SYSTEMS: FLUID STRUCTURE INTERACTION"
I think that the following are the important books on the fundamentals of FSI. There are many other books that are specific to the application, for example, aeroelastacity, biomedical, off-shore structures etc.