Introduction to Non-linear Mechanics - Claude Stolz

Introduction to Non-linear Mechanics

A Unified Energetical Approach

(Autor)

Buch | Hardcover
XV, 334 Seiten
2024 | 2024
Springer International Publishing (Verlag)
978-3-031-51919-2 (ISBN)
149,79 inkl. MwSt

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.



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.

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.

Erscheinungsdatum
Reihe/Serie Springer Series in Solid and Structural Mechanics
Zusatzinfo XV, 334 p. 61 illus., 14 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Themenwelt Naturwissenschaften Physik / Astronomie Mechanik
Schlagworte damage • Elastoplasticity • inverse problem • Non linear mechanics • standard materials • Wear
ISBN-10 3-031-51919-1 / 3031519191
ISBN-13 978-3-031-51919-2 / 9783031519192
Zustand Neuware
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