The main aim of this book is to demonstrate the fundamental theory of advanced solid mechanics through simplified derivations with details illustrations to deliver the principal concepts. It covers all conceptual principals on two- and three-dimensional stresses, strains, stress-strain relations, theory of elasticity and theory of plasticity in any type of solid materials including anisotropic, orthotropic, homogenous and isotropic. Detailed explanation and clear diagrams and drawings are accompanied with the use of proper jargons and notations to present the ideas and appropriate guide the readers to explore the core of the advanced solid mechanics backed by case studies and examples. Aimed at undergraduate, senior undergraduate students in advanced solid mechanics, solid mechanics, strength of materials, civil/mechanical engineering, this book
Provides simplified explanation and detailed derivation of correlation and formula implemented in advanced solid mechanics
Covers state of two and three-dimensional stresses and strains in solid materials in various conditions
Describes principal constitutive models for various type of materials include of anisotropic, orthotropic, homogenous and isotropic materials.
Includes stress-strain relation and theory of elasticity for solid materials.
Explores inelastic behaviour of material, theory of plasticity and yielding criteria.
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vii | |
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xi | |
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1 | (6) |
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1 | (1) |
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1.2 Location as a Factor Affecting Material Properties |
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2 | (2) |
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1.2.1 Heterogeneous Material |
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2 | (1) |
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1.2.2 Homogeneous Material |
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3 | (1) |
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1.3 Orientation as a Factor Affecting Material Properties |
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4 | (3) |
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1.3.1 Anisotropic Material |
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4 | (1) |
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1.3.2 Orthotropic Material |
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5 | (1) |
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6 | (1) |
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7 | (32) |
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7 | (1) |
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8 | (2) |
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2.3 Stress Equilibrium Equation |
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10 | (5) |
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2.4 Stress Transformations |
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15 | (9) |
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2.5 Principal Stress and Maximum Shear Stress |
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24 | (7) |
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31 | (2) |
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33 | (4) |
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37 | (2) |
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39 | (18) |
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3.1 Deformation and Strain |
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39 | (4) |
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3.2 Lagrangian Description |
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43 | (5) |
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3.3 Strain Compatibility Equation |
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48 | (4) |
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3.4 Strain Transformation |
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52 | (1) |
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3.5 Principal Strain and Maximum Shear Strain |
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53 | (1) |
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54 | (1) |
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55 | (1) |
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55 | (2) |
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Chapter 4 Stress-Strain Relationships |
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57 | (38) |
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4.1 Types of Relationships |
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57 | (3) |
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4.2 Generalised Stress-Strain Relationship |
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60 | (1) |
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4.3 Material with Symmetrical Properties about Z Axis |
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61 | (5) |
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66 | (5) |
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4.5 Orthotropic Material with Same Properties along Y and Z Axes |
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71 | (5) |
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76 | (5) |
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81 | (8) |
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4.8 Plane Stress and Plane Strain for an Isotropic Material |
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89 | (6) |
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Chapter 5 Solutions for Elasticity |
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95 | (12) |
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95 | (1) |
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5.2 Stress-Displacement Relationship |
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95 | (1) |
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96 | (3) |
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5.4 Beltami-Michell Stress Compatibility Equations |
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99 | (5) |
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104 | (3) |
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Chapter 6 Solutions for Plasticity |
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107 | (10) |
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107 | (1) |
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107 | (4) |
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6.2.1 Tresca Yields Criterion |
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107 | (2) |
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6.2.2 Von Mises Yields Criterion |
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109 | (2) |
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111 | (1) |
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112 | (2) |
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114 | (3) |
| Index |
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Farzad Hejazi is Senior Visiting Academic in Department of Civil and Structural Engineering at University of Sheffield. He is Associate Professor and Research Coordinator at Department of Civil Engineering, Faculty of Engineering, University Putra Malaysia (UPM). He is also innovation champion in UPM since 2013 and member of the management committee of the Housing Research Center (UPM). He is teaching postgraduate courses for masters and PhD students in structural engineering fields such as finite element method, structural dynamics, advanced solid mechanics, advanced structural analysis, earthquake resistance structure and research methodology. He is managing and supervising research team consist of 20 PhD students and 10 Master Students and involving with many high impact research and industry projects funded by Ministry of Higher Education Malaysia, Ministry of Science, Technology and Innovation, PlaTCOM Venture Malaysian Government Agency, University Putra Malaysia and industrial companies which led to file more than 15 patents in USA, Japan, Germany, Canada, New Zealand and Malaysia. Four of his patents related to vibration dissipation devices already licensed to industry for mass production and implement in construction projects for the bridges and structures. He published 4 books and more than 100 research papers in high impact international journals. Tan Kar Chun graduated with a degree in civil engineering from the University Putra Malaysia (UPM) with first-class honour. He subsequently began his career in civil and structural engineering consultancy and has been in the industry for the past five years. During that time, he has been involved in multiple projects at various scales, such as a civil engineer for 1400-acre township development and structural engineer for 50-storey high-rise building. He is currently a PhD candidate in UPM, under supervision of Dr. Farzad Hejazi. His research is focusing on the innovation in vibration-dissipating technology.
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