Fr. 127.00

Introduction to Non-linear Mechanics - A Unified Energetical Approach

English · Paperback / Softback

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Description

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This book presents an introduction to the non-linear mechanics of materials, focusing on a unified energetical approach. It begins by summarizing the framework of a thermodynamic description of continua, including a description of the kinematics of deformation, and a summary of the equations of motion. After a short description of the motion of the system and the mechanical interaction, the book introduces the Lagrangean and Hamiltonian functionals of the system, transitioning to the quasistatic characterization with emphasis on the role of potential energy and pseudo-potential of dissipation. The framework is then extended to fracture and damage mechanics with a similar energetical approach proposed for material damage and wear. The book looks at homogenization in non-linear mechanics for locally plastic or damaged material with an analysis of stability and bifurcation of the equilibrium path. Lastly, inverse problems in non-linear mechanics are introduced using optimal control theory. All the concepts introduced in the book are illustrated using analytical solutions on beams, rods, plates, or using spherical and cylindrical symmetries. Graduate students and researchers working on continuum mechanics and interested in a deeper understanding of materials damage, wear, and fatigue will find this book instructive and informative.

List of contents

Chapter 1. Introduction.- Chapter 2. Non-linear and linear elasticity.- Chapter 3. Elasto-plasticity.- Chapter 4. Fracture Mechanics.- Chapter 5.  Moving Discontinuities.- Chapter 6.  Damage modelling and initiation of defect.- Chapter 7. A thermodynamical approach to contact wear .- Chapter 8. Delamination of laminates.- Chapter 9. Micro-macro relations.- Chapter 10. Homogenization in linear elasticity.- Chapter 11. Optimal control and non linear inverse problems.- Chapter 12. Conclusion.

About the author











Claude Stolz's research focuses on the evolution of non-linear mechanical systems (plasticity, fracture, damage). Claude Stolz has taught in France at several high schools of engineering  and Universities. He has also worked as a consultant for major French companies. He is currently Director of Research at the CNRS.


Product details

Authors Claude Stolz
Publisher Springer, Berlin
 
Languages English
Product format Paperback / Softback
Released 01.04.2025
 
EAN 9783031519222
ISBN 978-3-0-3151922-2
No. of pages 334
Dimensions 155 mm x 19 mm x 235 mm
Weight 534 g
Illustrations XV, 334 p. 61 illus., 14 illus. in color.
Series Springer Series in Solid and Structural Mechanics
Subject Natural sciences, medicine, IT, technology > Physics, astronomy > Mechanics, acoustics

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