4.1 General Principles
4.2 Elastic Materials
4.3 Fung’s Famous Models for Soft Tissues
4.4 Newtonian and Non-Newtonian Fluids
"A First Course in Continuum Mechanics" is widely regarded as a seminal bridge between elementary mechanics (statics/dynamics) and advanced continuum theory. Unlike dense mathematical treatises, Fung’s approach is physically intuitive. The book is designed to teach students how to formulate mechanical problems mathematically, emphasizing the "why" and "how" behind the equations rather than just the derivation.
3.1 Cauchy Stress Tensor ($\sigma_ij$ or $\mathbfT$)
3.2 Other Stress Measures (Fung’s Critical Insight) Fung-a first course in continuum mechanics.pdf
3.3 Equations of Motion (Momentum Balance)
Balance laws and stress measures
Constitutive relations
Small-deformation elasticity
Viscous and rate-dependent behavior (introductory)
Special topics and applications