Y.C. Fung's "A First Course in Continuum Mechanics" is a foundational text designed to bridge elementary physics with advanced engineering by focusing on physical problem formulation, covering both solid and fluid mechanics. It features a broad scope including biological materials, tensor analysis, and constitutive relations, tailored for advanced undergraduates and early graduate students. Review the text on Amazon.com First Course in Continuum Mechanics (3rd Edition)
Some common nonlinear constitutive equations include: Fung-a first course in continuum mechanics.pdf