书目名称 | Introduction to Non-linear Mechanics |
副标题 | A Unified Energetica |
编辑 | Claude Stolz |
视频video | |
概述 | Presents a unified energetical approach to the non-linear continuum mechanics of materials.Detailed analytical solutions on beams, rods, and plates accompany all concepts discussed.Ideal for graduate |
丛书名称 | Springer Series in Solid and Structural Mechanics |
图书封面 |  |
描述 | .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 o |
出版日期 | Book 2024 |
关键词 | Non linear mechanics; elastoplasticity; standard materials; inverse problem; damage; wear |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-51920-8 |
isbn_softcover | 978-3-031-51922-2 |
isbn_ebook | 978-3-031-51920-8Series ISSN 2195-3511 Series E-ISSN 2195-352X |
issn_series | 2195-3511 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |