Nonlinear Elasticity

We consider a treatment of nonlinear elasticity that is sufficient for the coupled problems of materials physics and biophysics in this monograph. It is rigorous, but not formal. The reader is directed to the number of standard texts (Gurtin, An introduction to continuum mechanics. Academic Press, 1982; Chadwick, Continuum mechanics: concise theory and problems. Courier Corporation, 2012; Marsden and Hughes, Mathematical foundations of elasticity. Courier Corporation, 1994; Ciarlet, Mathematical elasticity: Three-dimensional elasticity, vol 84. SIAM, 2022) for more complete treatises on this classical subject. We also offer for the reader’s consideration the author’s online series, Lectures on Continuum Physics, available on various platforms with open access (Garikipati, Lectures on continuum physics. https://www.youtube.com/playlist?list=PLJhG_d-Sp_JHvh47eZ8fSuUCUdp86i__y , 2014; Garikipati, Lectures on continuum physics. https://open.umich.edu/find/open-educational-resources/engineering/lectures-continuum-physics , 2014; Garikipati, Lectures on continuum physics. https://courses.ansys.com/index.php/courses/continuum-physics/ , 2022).