She has worked in quantitative fractography, establishing some universalfractal properties of fracture surfaces,[4] a subject pioneered by Benoit Mandelbrot.[5] In fact, the term "fractal" itself was coined by Mandelbrot in 1975, based on the Latin frāctus meaning "broken" or "fractured".
Elisabeth Bouchaud suggested that these fractal properties could be understood in terms of the propagation of the crack front in a disordered environment, which is affected by the vicinity of a depinning transition.[6][7]
Elisabeth Bouchaud wrote several short stories and plays. Two plays of them were presented at the Avignon Festival: A Contre Voix in 1994 and in 2000, and Apatride, la Tragédie de Médée in 2013.[11][12]A Contre Voix was translated into English by Mary Luckhurst and put on at the Grace Theatre, London, in 1994. Her other plays are Les liaisons dangereuses (1989), Musical Box (1996), De la matière dont les rèves sont faits (2005) and Puzzle (2015), a stage adaptation of Puzzle of a Downfall Child by Jerry Schatzberg, put on at the theatre La Reine Blanche in 2017. In 2024, she wrote a theatre trilogy Les Fabuleuses about the life of 3 women that made breakthroughs in physicts, but were not remembered through history as male physists took the credit and the prizes: (Lise Meitner, Jocelyn Bell, Rosalind Franklin).