Course In Continuum Mechanics.pdf: Fung-a First

5.1 One-Dimensional Waves in Elastic Bars

5.2 Viscoelasticity (Creep & Relaxation)

5.3 Finite Element Implementation Notes

Author: Y. C. Fung (Yuan-Cheng Fung) Context: Biomechanics, Civil Engineering, Mechanical Engineering, Applied Mathematics.

"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. Fung-a first course in continuum mechanics.pdf

A First Course in Continuum Mechanics by Y. C. Fung is a concise, widely used introduction to continuum mechanics aimed at advanced undergraduates and beginning graduate students in engineering and applied mechanics. The book emphasizes physical intuition, clear derivations, and practical applications in solid and fluid mechanics. This article summarizes the book’s scope, core concepts, pedagogical approach, key equations, typical applications, strengths, limitations, and suggested reading paths.


  • Balance laws and stress measures

  • Constitutive relations

  • Small-deformation elasticity

  • Viscous and rate-dependent behavior (introductory)

  • Special topics and applications