| Chapter | Title | |:---|:---| | 1 | Introduction | | 2 | Vectors and Tensors | | 3 | Stress | | 4 | Principal Stresses and Principal Axes | | 5 | Analysis of Deformation | | 6 | Velocity Fields and Compatibility Conditions | | 7 | Constitutive Equations | | 8 | Isotropy | | 9 | Mechanical Properties of Real Fluids and Solids | | 10 | Derivation of Field Equations | | 11 | Field Equations and Boundary Conditions in Fluid Mechanics | | 12 | Some Simple Problems in Elasticity | | 13 | Stress, Strain, and Active Remodeling of Structures |
Continuum mechanics is a branch of mechanics that deals with the study of the motion and deformation of continuous media, such as solids, liquids, and gases. It is a fundamental discipline that underlies many fields, including engineering, physics, and biology. Continuum mechanics provides a framework for understanding the behavior of materials and fluids under various types of loading, including mechanical, thermal, and electromagnetic.
This book is meticulously crafted for a very specific audience, which is central to its effectiveness. Fung-a first course in continuum mechanics.pdf
In addition, continuum mechanics has numerous applications in physics, including the study of the behavior of fluids and solids under extreme conditions, such as high temperatures and pressures. In biology, continuum mechanics is used to understand the behavior of living tissues, such as blood vessels and muscles.
Y.C. Fung's A First Course in Continuum Mechanics is a foundational text that bridges abstract mathematical theory with practical solid and fluid mechanics applications. It is particularly recognized for its clear, unified approach and its application to both engineering and bioengineering, covering topics like kinematics, stress tensors, and constitutive equations. For more details, explore the text that covers kinematics, stress, and constitutive equations. Go to product viewer dialog for this item. | Chapter | Title | |:---|:---| | 1
Constitutive relations
Yuan-cheng Fung’s A First Course in Continuum Mechanics serves as a foundational text bridging elementary mechanics with advanced solid and fluid mechanics. It offers a rigorous, intuitive introduction to tensor analysis, stress, strain, and constitutive equations, providing the groundwork for modern finite element analysis. Share public link This book is meticulously crafted for a very
The book is divided into 10 chapters, covering the following topics:
Yuan-Cheng Fung’s " A First Course in Continuum Mechanics " is a foundational textbook bridging classical physics with advanced structural and biological mechanics. It introduces essential concepts like indicial notation, stress tensors, strain, and constitutive equations, prioritizing physical intuition alongside mathematical rigor. The text is widely recognized as an indispensable resource for students and professionals in aerospace and biomechanical engineering.
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