Hyperelasticity Primer

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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.

Author(s): Robert M. Hackett (auth.)
Edition: 1
Publisher: Springer International Publishing
Year: 2016

Language: English
Pages: XVI, 170
Tags: Continuum Mechanics and Mechanics of Materials; Structural Mechanics

Front Matter....Pages i-xvi
Finite Elasticity....Pages 1-3
Strain Measures....Pages 5-8
Polar Decomposition....Pages 9-18
Strain-Energy Functions....Pages 19-25
Stress Measures....Pages 27-36
Tangent Moduli....Pages 37-56
Conjugate Pairs....Pages 57-60
Incrementation: Part One....Pages 61-65
Incrementation: Part Two....Pages 67-72
Incrementation: Part Three....Pages 73-76
Incrementation: Part Four....Pages 77-83
Objectivity....Pages 85-91
Finite Viscoelasticity....Pages 93-102
Finite Element Implementation....Pages 103-107
Model Parameters from Test Data....Pages 109-115
Back Matter....Pages 117-170