Y.C. Fung's "A First Course in Continuum Mechanics" is a foundational text designed to bridge elementary physics with advanced engineering by focusing on physical problem formulation, covering both solid and fluid mechanics. It features a broad scope including biological materials, tensor analysis, and constitutive relations, tailored for advanced undergraduates and early graduate students. Review the text on Amazon.com First Course in Continuum Mechanics (3rd Edition)
Kinematics of deformation
Y.C. Fung's " A First Course in Continuum Mechanics is a foundational textbook designed for students of science and engineering that prioritizes a physical understanding of mechanics over purely mathematical rigor. It is particularly noted for its applications to both physical and biological systems, making it a staple for bioengineering and mechanical engineering students. Amazon.com Core Objectives & Philosophy Physical Intuition Fung-a first course in continuum mechanics.pdf
Applications
The importance of continuum mechanics cannot be overstated, as it underlies many fields, including engineering, physics, and biology. The principles of continuum mechanics are essential for understanding the behavior of materials and fluids under various types of loading, which is critical in the design and analysis of engineering systems. Fung's book: 10 Continuum mechanics: 15 First course:
Fung’s A First Course in Continuum Mechanics is an accessible, intuition-driven introduction that gives engineers the essential tools to model continuous media. It balances physical insight with concise mathematics, making it a strong starting point before advancing to more rigorous or specialized texts. Kinematics of deformation