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Fundamentals of Continuum Mechanics / John W. Rudnicki
Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Hoboken : Wiley, 2014Description: Online-RessourceISBN:- 1322215367
- 9781118927687
- 9781322215365
- 9781118479919
- 530
- 531.0151
- QA808.2 .R83 2014
Contents:
Summary: A concise introductory course text on continuum mechanics Fundamentals of Continuum Mechanics focuses on the fundamentals of the subject and provides the background for formulation of numerical methods for large deformations and a wide range of material behaviours. It aims to provide the foundations for further study, not just of these subjects, but also the formulations for much more complex material behaviour and their implementation computationally. This book is divided into 5 parts, covering mathematical preliminaries, stress, motion and deformation, balance of mass, momentum and energPPN: PPN: 816324247Package identifier: Produktsigel: ZDB-26-MYL | ZDB-30-PQE
Cover; Title Page; Copyright; Dedication; Preface; Nomenclature; Introduction; Part One: Mathematical Preliminaries; Chapter 1: Vectors; 1.1 Examples; Exercises; Reference; Chapter 2: Tensors; 2.1 Inverse; 2.2 Orthogonal Tensor; 2.3 Principal Values; 2.4 Nth-Order Tensors; 2.5 Examples; Exercises; Chapter 3: Cartesian Coordinates; 3.1 Base Vectors; 3.2 Summation Convention; 3.3 Tensor Components; 3.4 Dyads; 3.5 Tensor and Scalar Products; 3.6 Examples; Exercises; Reference; Chapter 4: Vector (Cross) Product; 4.1 Properties of the Cross Product; 4.2 Triple Scalar Product
4.3 Triple Vector Product4.4 Applications of the Cross Product; 4.5 Non-orthonormal Basis; 4.6 Example; Exercises; Chapter 5: Determinants; 5.1 Cofactor; 5.2 Inverse; 5.3 Example; Exercises; Chapter 6: Change of Orthonormal Basis; 6.1 Change of Vector Components; 6.2 Definition of a Vector; 6.3 Change of Tensor Components; 6.4 Isotropic Tensors; 6.5 Example; Exercises; Reference; Chapter 7: Principal Values and Principal Directions; 7.1 Example; Exercises; Chapter 8: Gradient; 8.1 Example: Cylindrical Coordinates; Exercises; Part Two: Stress; Chapter 9: Traction and Stress Tensor
9.1 Types of Forces9.2 Traction on Different Surfaces; 9.3 Traction on an Arbitrary Plane (Cauchy Tetrahedron); 9.4 Symmetry of the Stress Tensor; Exercise; Reference; Chapter 10: Principal Values of Stress; 10.1 Deviatoric Stress; 10.2 Example; Exercises; Chapter 11: Stationary Values of Shear Traction; 11.1 Example: Mohr-Coulomb Failure Condition; Exercises; Chapter 12: Mohr''s Circle; Exercises; Reference; Part Three: Motion and Deformation; Chapter 13: Current and Reference Configurations; 13.1 Example; Exercises; Chapter 14: Rate of Deformation; 14.1 Velocity Gradients; 14.2 Meaning of D
14.3 Meaning of WExercises; Chapter 15: Geometric Measures of Deformation; 15.1 Deformation Gradient; 15.2 Change in Length of Lines; 15.3 Change in Angles; 15.4 Change in Area; 15.5 Change in Volume; 15.6 Polar Decomposition; 15.7 Example; Exercises; References; Chapter 16: Strain Tensors; 16.1 Material Strain Tensors; 16.2 Spatial Strain Measures; 16.3 Relations Between D and Rates of EG and U; Exercises; References; Chapter 17: Linearized Displacement Gradients; 17.1 Linearized Geometric Measures; 17.2 Linearized Polar Decomposition; 17.3 Small-Strain Compatibility; Exercises; Reference
Part Four: Balance of Mass, Momentum, and EnergyChapter 18: Transformation of Integrals; Exercises; References; Chapter 19: Conservation of Mass; 19.1 Reynolds'' Transport Theorem; 19.2 Derivative of an Integral over a Time-Dependent Region; 19.3 Example: Mass Conservation for a Mixture; Exercises; Chapter 20: Conservation of Momentum; 20.1 Momentum Balance in the Current State; 20.2 Momentum Balance in the Reference State; 20.3 Momentum Balance for a Mixture; Exercises; Chapter 21: Conservation of Energy; 21.1 Work-Conjugate Stresses; Exercises; Part Five: Ideal Constitutive Relations
Chapter 22: Fluids
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