Introduction to Non-linear Mechanics: A Unified Energetical Approach - Couverture rigide

Stolz, Claude

 
9783031519192: Introduction to Non-linear Mechanics: A Unified Energetical Approach
Couverture rigide
ISBN 10 : 3031519191 ISBN 13 : 9783031519192
Editeur : Springer International Publishing AG, 2024

Synopsis

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.


Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur


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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer International Publishing AG
Date d'édition
2024
Langue
anglais
ISBN 10 
3031519191
ISBN 13 
9783031519192
Reliure
Relié
Nombre de pages
349
Coordonnées du fabricant
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Allemagne