Hyperelasticity Primer

This book introduces the subject of hyperelasticity in a concise manner mainly directed to students of solid mechanics who have a familiarity with continuum mechanics. It focuses on important introductory topics in the field of nonlinear material behavior and presents a number of example problems and solutions to greatly aid the student in mastering the difficulty of the subject and gaining necessary insight. Professor Hackett delineates the concepts and applications of hyperelasticity in such a way that a new student of the subject can absorb the intricate details without having to wade through excessively complicated formulations. The book further presents significant review material on intricately related subjects such as tensor calculus and introduces some new formulations.

Finite Elasticity.- Strain Measures.- Polar Decomposition.- Strain-Energy Function.- Stress Measures.- Tangent Moduli.- Conjugate Pairs.- Incrementation (Parts I.- II.- III and IV).- Objectivity.- Finite Viscoelasticity.- Finite Element Implementation.- How to Obtain Model Parameters from Test Data,- Appendices.