Nonlinear continuum mechanics: an engineering approach
| Autor: | Agelet de Saracibar Bosch, Carlos |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria |
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| Popis: | This book collects most of the lecture notes I have developed and I have been using in a course on Continuum Mechanics for the Master of Science Course on Computational Mechanics and the Master Course on Numerical Methods in Engineering taught at the Barcelona School of Civil Engineering, Technical University of Catalonia, UPC BarcelonaTech, in Barcelona, Spain. When the Master of Science Course on Computational Mechanics began, the Director of the Master asked me to take charge and to develop a course on Continuum Mechanics. The course should have around 40-45 class hours and would be scheduled to be taught in the first semester of the first year of the Master. I embarked on this path by designing and developing what has been my flagship and signature course on Continuum Mechanics. This book has been designed as an updated and expanded version of my Continuum Mechanics lecture notes and has been structured in 9 chapters. As an introduction, Chapters 1 and 2 are devoted to Tensor Algebra and Tensor Analysis. Part I of the book includes the next 3 chapters. Chapter 3 is devoted to Nonlinear Kinematics, Chapter 4 deals with Stresses, and Chapter 5 addresses the Fundamental Conservation/Balance Laws. Part II includes the next 4 chapters. Chapter 6 is devoted to Finite Deformation Hyperelasticity, Chapter 7 to Finite Deformation Plasticity, Chapter 8 to Finite Deformation Coupled Thermoplasticity, and Chapter 9 to Finite Deformation Contact Mechanics. The last chapter, Chapter 10, deals with Variational Methods in Solid Mechanics, including coupled thermoplasticity and contact problems. The common feature of Part I is that all the contents are always valid, regardless of the material, be it solid or fluid. At the end of Part I we should be able to set up in local spatial/material form, the fundamental governing equations and inequalities for a Continuum Mechanics problem. The fundamental governing equations and inequalities arise from the fundamental conservation/balance principles and from the constraints imposed by the second law of thermodynamics, and are valid for any material. Part II of the book is devoted to presenting some nonlinear constitutive models for Nonlinear Solid Mechanics, including Finite Deformation Hyperelasticity, Finite Deformation Plasticity, Finite Deformation Coupled Thermoplasticity, and Finite Deformation Contact Mechanics. Constitutive equations are derived within a thermodynamically consistent framework. Finite deformation elastoplasticity models are based on the multiplicative decomposition of the deformation gradient and the notion of an intermediate configuration. Different formulations based on the intermediate configuration, the current or spatial configuration, and the material configuration, are considered. The last chapter is devoted to Variational Methods in Solid Mechanics, a fundamental topic in Computational Mechanics. The book may be used as a text book for a Master’s course on Nonlinear Continuum Mechanics for graduate students in Civil, Mechanical or Aerospace Engineering, Applied Mathematics or Applied Physics, with interest in Continuum Mechanics and Computational Mechanics. I am grateful to my colleagues and friends Jean-Philippe Ponthot at University of Liege, and Mariana Seabra at University of Porto for their careful reading of the manuscript. I hope you enjoy reading the book as much as I have enjoyed writing it. Carlos Agelet de Saracibar Barcelona, Spain, 22 March 2022 |
| Databáze: | OpenAIRE |
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