In 1958, he went to the United States to work in the Department of Materials Science at Northwestern University in Evanston, Illinois.
Dr. Mura was appointed Walter P. Murphy Professor in the McCormick School of Engineering at Northwestern, was elected as a member of the National Academy of Engineering (NAE) in 1986 for his contributions to the field of micromechanics, and received many other accolades for his work.
He was as much recognized for his academic achievement as his generosity in opening his home to visiting scholars and graduate students from Japan, where weekend gatherings were a regular occurrence.
The inverse problems play an important role in qualitative nondestructive evaluation of materials.
Most of Professor Mura's research was mathematically oriented but cooperative with experiments in mechanics and materials science.