Hyperelasticity Primer

Description

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. Front Matter ....Pages i-xix Finite Elasticity (Robert M. Hackett)....Pages 1-3 Strain Measures (Robert M. Hackett)....Pages 5-8 Polar Decomposition (Robert M. Hackett)....Pages 9-18 Strain-Energy Functions (Robert M. Hackett)....Pages 19-28 Stress Measures (Robert M. Hackett)....Pages 29-48 Tangent Moduli (Robert M. Hackett)....Pages 49-66 Conjugate Pairs (Robert M. Hackett)....Pages 67-70 Incrementation: Part One (Robert M. Hackett)....Pages 71-75 Incrementation: Part Two (Robert M. Hackett)....Pages 77-82 Incrementation: Part Three (Robert M. Hackett)....Pages 83-86 Incrementation: Part Four (Robert M. Hackett)....Pages 87-93 Objectivity (Robert M. Hackett)....Pages 95-101 Finite Viscoelasticity (Robert M. Hackett)....Pages 103-112 Finite Element Implementation (Robert M. Hackett)....Pages 113-117 Model Parameters from Test Data (Robert M. Hackett)....Pages 119-127 Back Matter ....Pages 129-186