Fung-a First Course In Continuum Mechanics.pdf [repack] -
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)
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7. Conclusion
Continuum mechanics has numerous applications in various fields, including: Fung-a first course in continuum mechanics.pdf
- Introduction to Continuum Mechanics: This chapter provides an overview of the field of continuum mechanics, including its history, basic concepts, and applications.
- Tensors and Their Operations: This chapter covers the mathematical background necessary for continuum mechanics, including tensor algebra and calculus.
- Kinematics of Continua: This chapter discusses the description of motion and deformation of continuous media, including the concepts of strain, stress, and velocity.
- Stress and Stress Tensor: This chapter covers the concept of stress and the stress tensor, including the Cauchy stress theorem and the symmetry of the stress tensor.
- The Fundamental Laws of Continuum Mechanics: This chapter discusses the fundamental laws of continuum mechanics, including the conservation of mass, momentum, and energy.
- The Constitutive Equations: This chapter covers the constitutive equations that describe the behavior of materials and fluids, including the elastic, plastic, and viscous behavior.
- Fluid Mechanics: This chapter discusses the application of continuum mechanics to fluid mechanics, including the Navier-Stokes equations and the Bernoulli's equation.
- Solid Mechanics: This chapter covers the application of continuum mechanics to solid mechanics, including the theory of elasticity and the bending of beams.
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Y. C. Fung (Yuan-Cheng Fung) Context: Biomechanics, Civil Engineering, Mechanical Engineering, Applied Mathematics. Introduction to Continuum Mechanics : This chapter provides
Applications of Continuum Mechanics