Main Introduction to Non-linear Mechanics: A Unified Energetical Approach 14

Introduction to Non-linear Mechanics: A Unified Energetical Approach 14

5.0 / 5.0
0 comments
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.
Request Code : ZLIB.IO18443452
Categories:
Year:
2022
Publisher:
Springer
Language:
English
ISBN 10:
3031519205
ISBN 13:
9783031519208
ISBN:
9783031519192, 3031519191, 9783031519208, 3031519205
Series:
Springer Series in Solid and Structural Mechanics

Comments of this book

There are no comments yet.