Description

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These lecture notes deal with the behavior of elastic bodies subject to small displacement gradients, namely their linearized elastic response.

The framework for describing the nonlinear response of elastic bodies is first put into place and then the linearization is carried out to delineate the status of the linearized theory of elasticity.

Easy reading for upper-division and first-year engineering students is provided by a balanced combination of mathematical rigor and physical understanding.

This lecture note grew out of a course that the author regularly teaches to undergraduate mechanical engineering students.

About the Author

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Kumbakonam RajagopalDistinguished ProfessorRegents ProfessorForsyth Chair in Mechanical EngineeringFellow, Michael E. DeBakey Institute, Texas A&M UniversitySenior Research Fellow, Texas Transportation Institute - 2019 Honoris Causa, University of Perugia, Perugia, Italy- Distinguished Professor Regents Professor Forsyth Chair in Mechanical Engineering- 2016 President's award for Distinguished Visitors, Ben Gurion University, Beer Sheva- 2015 Special issues (3 issues), Mathematics and Mechanics of Solids in honor of K. R. Rajagopal's contributions to the field of Mechanics- 2014 TUS President's Award, Tokyo University of Science, Tokyo- 2013 Honoris Causa, Technical University "Gheorghe Asachi", Iasi- 2012 Honoris Causa, Charles University, Prague- 2011 Special Issue of Mathematical Models and Methods of Applied Sciences, On the occasion of K. R. Rajagopal's 60th Birthday, Volume 21, 1- 2011 Special Issue of Applications of Mathematics, Dedicated to K. R. Rajagopal's 60th Birthday, Volume 56, 1- 2011 Special Issue (4 issues) International Journal of Advances in Engineering Science and Applied Mathematics, Dedicated K. R. Rajagopal's 60th birthday, 3- 2011 Special Issue of The International Journal of Structural Changes in Solids, On the Occasion of K. R. Rajagopal's 60th birthday, 3, 3- 2010 ISI Highly Cited Researcher- 2010 Fellow, The Indian National Academy of Engineering- 2010 Honoris Causa, University of Pretoria, Pretoria- 2006 Memorial Medal, Charles University, Prague- 2005 Archie Higdon Award, American Society of Engineering Education- 2004 Eringen Medal, Society of Engineering Science