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Full Description
This comprehensive textbook presents fundamental concepts and detailed analysis of stress in homogeneous and isotropic solids using a tensor approach. This book uniquely formulates mathematical approaches in terms of stress tensor invariants and its component tensors: hydrostatic tensor and deviator tensor. All expressions are derived in the form of Cartesian tensors, with detailed step-by-step deductions and complete demonstrations, ensuring that no steps are omitted in obtaining or proving results.
Key features:
• Demonstrates equations through didactic step-by-step deductions.
• Features worked examples and end-of-chapter exercises.
• Formulates innovative approaches using stress tensor invariants.
• Develops expressions and demonstrations in detail without omitting steps.
• Supports readers with essential tensor algebra explanations.
This book targets postgraduate as well as advanced undergraduate students in civil, mechanical, and materials engineering programs. The detailed approach and comprehensive coverage equip readers with the knowledge necessary for applications across various fields, making this book an invaluable resource for their academic and professional development.
Contents
1. Stress Tensor
2. Stress Hexacosahedron
3. Stress Quadrics
4. Plane Stress
5. Mohr Circle
6. Geometric Representation of Stress
7. Piola-Kirchhoff Stress Tensors
8. Differentiation of Tensors and Objectivity Principle
