I heard about this book (>5k citations) and the author (>105k citations!) several times but got the chance to study cover to cover (only possible because I already met prerequisites - see below) in 3rd year in the course ME 563 Nonlinear Finite Element Analysis during PhD in Engineering Mechanics at Penn State University.
I had read (< 70%) the definitive introductory level book on Finite Element Method by J. N. Reddy during 3rd year of my undergrad in Mechanical Engineering at IIT Delhi. During 4th year, I took an Advanced Solid Mechanics course which covered Continuum Mechanics, Nonlinear elasticity and some Plasticity. So, all that helped in reading this tough but really powerful book on the titled subject.
I would even go to the extent of saying that one's education in finite deformation simulations is incomplete without having read this book. Sure, if you feel confident in a topic, you can say you don't need to read it. But if there is a topic in the book that you don't have solid understanding of, don't worry. This IS what this book is for and you will be surprised how effective and clear its explanations are.